Mensuration worksheet class 6 -Mensuration is a mathematical concept that entails calculating areas, perimeters, and volumes of various geometrical objects, among other things These shapes are either two dimensional or three
The document discusses three-dimensional shapes and their properties. It defines 3D shapes as having length, width and height. Various 3D shapes are described such as cuboids, cubes, prisms, cylinders, spheres, pyramids and polyhedra. Specific 3D shapes like triangular prisms and hexagonal prisms are defined by their faces, corners and edges. The document asks the reader to identify 3D shapes from different net diagrams.
This document defines different types of numbers and rational numbers. It explains that rational numbers can be expressed as a ratio of two integers in the form p/q, where p and q are integers and q is not zero. Examples of rational numbers include 1/2, 4/3, and 5/7. The document also discusses how rational numbers can be represented on a number line, with rational numbers existing between every two integers. Properties of rational numbers are listed, including closure, commutativity, associativity, additive identity, and additive inverse.
This document discusses triangles and their classifications. It defines a triangle as a three-sided polygon with three interior angles that sum to 180 degrees. Triangles are classified based on their interior angles as acute, right, or obtuse triangles, or as equiangular triangles if the three angles are equal. They are also classified based on the lengths of their sides as scalene, isosceles, or equilateral triangles. Several triangle types such as right, obtuse, isosceles and equilateral triangles are defined. The hypotenuse of a right triangle is described as the side opposite the right angle. The Pythagorean theorem relating the sides of a right triangle is presented. The document concludes with a 10 question
Geometry is the branch of mathematics concerned with properties of points, lines, angles, curves, surfaces and solids. It involves visualizing shapes, sizes, patterns and positions. The presentation introduced basic concepts like different types of lines, rays and angles. It also discussed plane figures from kindergarten to 8th grade, including classifying shapes by number of sides. Space figures like cubes and pyramids were demonstrated by having students construct 3D models. The concepts of tessellation, symmetry, and line of symmetry were explained.
Fundamental Geometrical Concepts Class 7Tushar Gupta
I made this presentation for my school project after that I thought that I should upload it on any slide so I uploaded this to help others in making presentations and getting ideas.It is a class 7 project.
Geometry is the study of points, lines, angles, surfaces, and solids. It includes basic terms like points, lines, line segments, rays, planes, and angles. Key concepts are defined such as parallel and intersecting lines, acute, obtuse, right, complementary and supplementary angles. The document also covers perimeter, area of squares, rectangles, triangles and circles. It introduces volume and surface area, and defines common 3D shapes like cubes, cylinders and spheres, providing formulas to calculate their volume and surface area.
Geometry is the study of shapes and measurements. It includes plane geometry of flat shapes like lines and circles that can be drawn on paper, and solid geometry of three-dimensional objects like cubes and spheres. A pyramid is a three-dimensional structure with a polygon base and triangular faces that meet at a single point called the apex. There are different types of pyramids defined by properties of their faces and bases. Formulas are used to calculate the surface areas and volumes of regular and truncated pyramids based on measurements of their bases, heights, slants or apothems.
The document discusses three-dimensional shapes and their properties. It defines 3D shapes as having length, width and height. Various 3D shapes are described such as cuboids, cubes, prisms, cylinders, spheres, pyramids and polyhedra. Specific 3D shapes like triangular prisms and hexagonal prisms are defined by their faces, corners and edges. The document asks the reader to identify 3D shapes from different net diagrams.
This document defines different types of numbers and rational numbers. It explains that rational numbers can be expressed as a ratio of two integers in the form p/q, where p and q are integers and q is not zero. Examples of rational numbers include 1/2, 4/3, and 5/7. The document also discusses how rational numbers can be represented on a number line, with rational numbers existing between every two integers. Properties of rational numbers are listed, including closure, commutativity, associativity, additive identity, and additive inverse.
This document discusses triangles and their classifications. It defines a triangle as a three-sided polygon with three interior angles that sum to 180 degrees. Triangles are classified based on their interior angles as acute, right, or obtuse triangles, or as equiangular triangles if the three angles are equal. They are also classified based on the lengths of their sides as scalene, isosceles, or equilateral triangles. Several triangle types such as right, obtuse, isosceles and equilateral triangles are defined. The hypotenuse of a right triangle is described as the side opposite the right angle. The Pythagorean theorem relating the sides of a right triangle is presented. The document concludes with a 10 question
Geometry is the branch of mathematics concerned with properties of points, lines, angles, curves, surfaces and solids. It involves visualizing shapes, sizes, patterns and positions. The presentation introduced basic concepts like different types of lines, rays and angles. It also discussed plane figures from kindergarten to 8th grade, including classifying shapes by number of sides. Space figures like cubes and pyramids were demonstrated by having students construct 3D models. The concepts of tessellation, symmetry, and line of symmetry were explained.
Fundamental Geometrical Concepts Class 7Tushar Gupta
I made this presentation for my school project after that I thought that I should upload it on any slide so I uploaded this to help others in making presentations and getting ideas.It is a class 7 project.
Geometry is the study of points, lines, angles, surfaces, and solids. It includes basic terms like points, lines, line segments, rays, planes, and angles. Key concepts are defined such as parallel and intersecting lines, acute, obtuse, right, complementary and supplementary angles. The document also covers perimeter, area of squares, rectangles, triangles and circles. It introduces volume and surface area, and defines common 3D shapes like cubes, cylinders and spheres, providing formulas to calculate their volume and surface area.
Geometry is the study of shapes and measurements. It includes plane geometry of flat shapes like lines and circles that can be drawn on paper, and solid geometry of three-dimensional objects like cubes and spheres. A pyramid is a three-dimensional structure with a polygon base and triangular faces that meet at a single point called the apex. There are different types of pyramids defined by properties of their faces and bases. Formulas are used to calculate the surface areas and volumes of regular and truncated pyramids based on measurements of their bases, heights, slants or apothems.
The document defines perimeter as the distance around a polygon and explains that to find the perimeter of a polygon you add up the lengths of all the sides. It provides examples of calculating the perimeter of various shapes including triangles, squares, rectangles, pentagons, and hexagons. Formulas and step-by-step workings are shown for finding the perimeter when given the measurements of the sides.
The document defines and describes different types of triangles. It begins by defining a triangle as a polygon with three edges and vertices. Triangles are then classified based on their sides and angles. There are three types of triangles based on sides: equilateral triangles have three equal sides and three equal angles; isosceles triangles have two equal sides and two equal base angles; and scalene triangles have no equal sides and three unequal angles. Key properties of each triangle type are provided.
The document discusses various units of measurement for length, volume, mass, and temperature in both the metric and imperial systems. It provides examples to convert between units and explains how to measure quantities using tools like rulers, graduated cylinders, balances, and thermometers. Key metric units include meters, centimeters, millimeters, liters, milliliters, grams, and degrees Celsius.
This document defines and describes different types of quadrilaterals:
- A quadrilateral is a 2D polygon with four sides and four vertices.
- There are both regular and irregular quadrilaterals. A regular quadrilateral has four equal sides and four equal interior angles, while an irregular quadrilateral has unequal sides and/or interior angles.
- Specific types of quadrilaterals discussed include squares, rectangles, parallelograms, trapezoids, and kites. Each has distinct properties regarding their sides and angles. The document provides examples to help differentiate between the different quadrilateral types.
Area is the measure of the surface enclosed by a shape, while perimeter is the measure of the distance around a shape. The document provides examples of calculating area and perimeter for different shapes by multiplying length by width for area and adding up the sides for perimeter. It also includes practice problems and checks of calculations for area and perimeter.
The document discusses various ways in which geometry is used in daily life, such as the angles in stairs, clothing hangers, and ceiling fans, as well as how geometry allows objects to be thrown maximum distances and provides location concepts. Specific examples are also given of how geometry is applied to racing bike design for efficiency and in architectural structures to withstand forces of nature. Nature itself demonstrates geometric shapes that can be seen in leaves, lunar eclipses, and other natural phenomena.
The document discusses the circumference of circles. It defines circumference as the distance around a circle and diameter as the distance across a circle. It presents the formula for circumference which is C=πd, where C is circumference, d is diameter, and π is approximately 3.14. Several examples are given of using the formula to calculate the circumference given the diameter. The document also discusses using the alternative radius-based formula, C=2πr, to find circumference when given the radius instead of the diameter.
The document defines and describes various plane figures (two-dimensional shapes). It begins by defining what a plane figure is and then describes the key properties of circles, triangles, rectangles, rhombuses, squares, and trapezoids. For each shape, it provides the defining characteristics, such as a circle tracing a curve that is always the same distance from the center and a triangle being formed by 3 straight lines. It also classifies triangles based on their angles and sides. The document aims to teach the reader to define, identify, and draw the principal geometric plane figures.
The document discusses calculating the area of rectangles and irregular shapes. It explains that area is measured in square units like square centimeters and square meters. To find the area of a rectangle, you multiply its length by its width. For irregular shapes, you split the shape into multiple rectangles, calculate the area of each, and add them together to find the total area.
The document discusses the derivation of the formula for the area of a trapezoid. It begins by reviewing the formulas for the area of a triangle and parallelogram. It then shows that two trapezoids joined together form a parallelogram. Since a parallelogram's area is (base 1 + base 2) * height, and two trapezoids make one parallelogram, the area of a trapezoid must be half of that, or (base 1 + base 2) * height / 2. Examples are provided to demonstrate calculating the area of trapezoids using this formula.
This document discusses the concept of symmetry and lines of symmetry. It provides examples of cutting different shapes, like rectangles and triangles, into two equal parts that are mirror images of each other along a line. Students are assigned homework to find the lines of symmetry for various shapes.
This document discusses the area of triangles. It defines area as a quantity that expresses the extent of a two-dimensional surface. It then presents formulas for calculating the area of different types of triangles: the area of a general triangle is 1/2 * base * height; the area of an equilateral triangle is (1/2) * s^2 * √3, where s is the length of one side; the area of a right triangle is 1/2 * base * height, where the base is the side adjacent to the right angle and the height is the perpendicular distance from the opposite vertex to the base. Examples are given to demonstrate calculating the area of each type of triangle.
This document defines perimeter, circumference, and area of different shapes. It provides the following formulas:
Perimeter is the distance around a figure and is calculated by adding all the side lengths. Circumference is the distance around a circle and is calculated using the formula C=πd, where d is the diameter.
The area of a rectangle is calculated by multiplying its length and width (A=l×w). The area of a triangle is half the product of its base and height (A=1/2bh). The area of a circle is the product of π and the square of the radius (A=πr^2).
This document discusses how geometry is used in daily life and provides examples. It begins by defining basic geometric concepts like segments, congruent angles/shapes, midpoints, perpendicular lines, and obtuse angles. It then gives examples of how geometry is used in fields like computer graphics, computer-aided design, robotics, medical imaging, structural engineering, protein modeling, and physics/chemistry. Specific applications and images are provided. It concludes by highlighting how geometric shapes are used to construct man-made structures from buildings to vehicles.
This document discusses different types of symmetry, including line symmetry and rotational symmetry. It provides examples of line symmetry in letters of the alphabet and examples of rotational symmetry in shapes like triangles, squares, and pentagons. It also discusses symmetry in architecture, flags, and natural phenomena. Symmetry is a fundamental organizing principle in nature and art that involves preserving certain properties when an object is transformed in some way.
Rational numbers can be defined as any number that can be made by dividing one integer by another. This includes positive and negative numbers, whole numbers, fractions, and decimals.
To add or subtract fractions, they must first be converted to have a common denominator. This is done by finding the least common multiple of the denominators and using it as the new common denominator.
Multiplying and dividing fractions follows simple rules: for multiplication, multiply the numerators and multiply the denominators; for division, keep the first fraction the same, change the division symbol to multiplication, and flip the second fraction.
The document discusses various measurement systems and units, including:
1) Exact and inexact numbers, precision and accuracy, and how they are different concepts.
2) The English and metric systems of measurement as well as the International System of Units (SI) which is the modern form of the metric system.
3) The seven base units of the SI system including the kilogram, meter, second and more.
4) Common prefixes used with metric units like milli, centi, and kilo.
5) Examples of measuring length, mass, area, volume, and temperature in the metric and SI systems.
This document outlines 9 circle theorems:
1. The angle at the center of a circle is twice the angle at the circumference subtended by the same arc.
2. Every angle at the circumference of a semicircle that is subtended by the diameter is a right angle.
3. Opposite angles sum to 180 degrees in a cyclic quadrilateral.
4. Angles at the circumference in the same segment of a circle are equal.
5. A tangent is perpendicular to the radius drawn to the point of tangency.
6. Tangents from the same external point to a circle are equal in length.
7. A line joining an external point to the center of a circle
The document defines and provides brief descriptions of common two-dimensional shapes including circles, triangles, squares, rectangles, trapezoids, pentagons, hexagons, heptagons, octagons, and nonagons. It concludes by encouraging the reader to watch a video to learn about 2D shapes in a fun way.
A prism is a solid object that has two identical and parallel flat ends called bases, and has the same cross-sectional shape along its entire length. A cross-section is the shape made when cutting straight across an object. Prisms can have different cross-sectional shapes including triangles, rectangles, or other polygons. They are defined as having two identical, parallel bases connected by rectangular or polygonal faces.
Plane shapes are two-dimensional with measurements of length and breadth, while solid objects are three-dimensional with measurements of length, breadth, and height or depth. Common two-dimensional shapes include circles, squares, rectangles, quadrilaterals, and triangles, while common three-dimensional solids include cubes, cuboids, spheres, cylinders, cones, and pyramids. Solid shapes can be visualized through sketches from different angles like the front, side, and top views or by slicing the solid to view its cross-section.
NCV 3 Mathematical Literacy Hands-On Support Slide Show - Module 4Future Managers
This slide show complements the learner guide NCV 3 Mathematical Literacy Hands-On Training by San Viljoen, published by Future Managers. For more information visit our website www.futuremanagers.net
The document defines perimeter as the distance around a polygon and explains that to find the perimeter of a polygon you add up the lengths of all the sides. It provides examples of calculating the perimeter of various shapes including triangles, squares, rectangles, pentagons, and hexagons. Formulas and step-by-step workings are shown for finding the perimeter when given the measurements of the sides.
The document defines and describes different types of triangles. It begins by defining a triangle as a polygon with three edges and vertices. Triangles are then classified based on their sides and angles. There are three types of triangles based on sides: equilateral triangles have three equal sides and three equal angles; isosceles triangles have two equal sides and two equal base angles; and scalene triangles have no equal sides and three unequal angles. Key properties of each triangle type are provided.
The document discusses various units of measurement for length, volume, mass, and temperature in both the metric and imperial systems. It provides examples to convert between units and explains how to measure quantities using tools like rulers, graduated cylinders, balances, and thermometers. Key metric units include meters, centimeters, millimeters, liters, milliliters, grams, and degrees Celsius.
This document defines and describes different types of quadrilaterals:
- A quadrilateral is a 2D polygon with four sides and four vertices.
- There are both regular and irregular quadrilaterals. A regular quadrilateral has four equal sides and four equal interior angles, while an irregular quadrilateral has unequal sides and/or interior angles.
- Specific types of quadrilaterals discussed include squares, rectangles, parallelograms, trapezoids, and kites. Each has distinct properties regarding their sides and angles. The document provides examples to help differentiate between the different quadrilateral types.
Area is the measure of the surface enclosed by a shape, while perimeter is the measure of the distance around a shape. The document provides examples of calculating area and perimeter for different shapes by multiplying length by width for area and adding up the sides for perimeter. It also includes practice problems and checks of calculations for area and perimeter.
The document discusses various ways in which geometry is used in daily life, such as the angles in stairs, clothing hangers, and ceiling fans, as well as how geometry allows objects to be thrown maximum distances and provides location concepts. Specific examples are also given of how geometry is applied to racing bike design for efficiency and in architectural structures to withstand forces of nature. Nature itself demonstrates geometric shapes that can be seen in leaves, lunar eclipses, and other natural phenomena.
The document discusses the circumference of circles. It defines circumference as the distance around a circle and diameter as the distance across a circle. It presents the formula for circumference which is C=πd, where C is circumference, d is diameter, and π is approximately 3.14. Several examples are given of using the formula to calculate the circumference given the diameter. The document also discusses using the alternative radius-based formula, C=2πr, to find circumference when given the radius instead of the diameter.
The document defines and describes various plane figures (two-dimensional shapes). It begins by defining what a plane figure is and then describes the key properties of circles, triangles, rectangles, rhombuses, squares, and trapezoids. For each shape, it provides the defining characteristics, such as a circle tracing a curve that is always the same distance from the center and a triangle being formed by 3 straight lines. It also classifies triangles based on their angles and sides. The document aims to teach the reader to define, identify, and draw the principal geometric plane figures.
The document discusses calculating the area of rectangles and irregular shapes. It explains that area is measured in square units like square centimeters and square meters. To find the area of a rectangle, you multiply its length by its width. For irregular shapes, you split the shape into multiple rectangles, calculate the area of each, and add them together to find the total area.
The document discusses the derivation of the formula for the area of a trapezoid. It begins by reviewing the formulas for the area of a triangle and parallelogram. It then shows that two trapezoids joined together form a parallelogram. Since a parallelogram's area is (base 1 + base 2) * height, and two trapezoids make one parallelogram, the area of a trapezoid must be half of that, or (base 1 + base 2) * height / 2. Examples are provided to demonstrate calculating the area of trapezoids using this formula.
This document discusses the concept of symmetry and lines of symmetry. It provides examples of cutting different shapes, like rectangles and triangles, into two equal parts that are mirror images of each other along a line. Students are assigned homework to find the lines of symmetry for various shapes.
This document discusses the area of triangles. It defines area as a quantity that expresses the extent of a two-dimensional surface. It then presents formulas for calculating the area of different types of triangles: the area of a general triangle is 1/2 * base * height; the area of an equilateral triangle is (1/2) * s^2 * √3, where s is the length of one side; the area of a right triangle is 1/2 * base * height, where the base is the side adjacent to the right angle and the height is the perpendicular distance from the opposite vertex to the base. Examples are given to demonstrate calculating the area of each type of triangle.
This document defines perimeter, circumference, and area of different shapes. It provides the following formulas:
Perimeter is the distance around a figure and is calculated by adding all the side lengths. Circumference is the distance around a circle and is calculated using the formula C=πd, where d is the diameter.
The area of a rectangle is calculated by multiplying its length and width (A=l×w). The area of a triangle is half the product of its base and height (A=1/2bh). The area of a circle is the product of π and the square of the radius (A=πr^2).
This document discusses how geometry is used in daily life and provides examples. It begins by defining basic geometric concepts like segments, congruent angles/shapes, midpoints, perpendicular lines, and obtuse angles. It then gives examples of how geometry is used in fields like computer graphics, computer-aided design, robotics, medical imaging, structural engineering, protein modeling, and physics/chemistry. Specific applications and images are provided. It concludes by highlighting how geometric shapes are used to construct man-made structures from buildings to vehicles.
This document discusses different types of symmetry, including line symmetry and rotational symmetry. It provides examples of line symmetry in letters of the alphabet and examples of rotational symmetry in shapes like triangles, squares, and pentagons. It also discusses symmetry in architecture, flags, and natural phenomena. Symmetry is a fundamental organizing principle in nature and art that involves preserving certain properties when an object is transformed in some way.
Rational numbers can be defined as any number that can be made by dividing one integer by another. This includes positive and negative numbers, whole numbers, fractions, and decimals.
To add or subtract fractions, they must first be converted to have a common denominator. This is done by finding the least common multiple of the denominators and using it as the new common denominator.
Multiplying and dividing fractions follows simple rules: for multiplication, multiply the numerators and multiply the denominators; for division, keep the first fraction the same, change the division symbol to multiplication, and flip the second fraction.
The document discusses various measurement systems and units, including:
1) Exact and inexact numbers, precision and accuracy, and how they are different concepts.
2) The English and metric systems of measurement as well as the International System of Units (SI) which is the modern form of the metric system.
3) The seven base units of the SI system including the kilogram, meter, second and more.
4) Common prefixes used with metric units like milli, centi, and kilo.
5) Examples of measuring length, mass, area, volume, and temperature in the metric and SI systems.
This document outlines 9 circle theorems:
1. The angle at the center of a circle is twice the angle at the circumference subtended by the same arc.
2. Every angle at the circumference of a semicircle that is subtended by the diameter is a right angle.
3. Opposite angles sum to 180 degrees in a cyclic quadrilateral.
4. Angles at the circumference in the same segment of a circle are equal.
5. A tangent is perpendicular to the radius drawn to the point of tangency.
6. Tangents from the same external point to a circle are equal in length.
7. A line joining an external point to the center of a circle
The document defines and provides brief descriptions of common two-dimensional shapes including circles, triangles, squares, rectangles, trapezoids, pentagons, hexagons, heptagons, octagons, and nonagons. It concludes by encouraging the reader to watch a video to learn about 2D shapes in a fun way.
A prism is a solid object that has two identical and parallel flat ends called bases, and has the same cross-sectional shape along its entire length. A cross-section is the shape made when cutting straight across an object. Prisms can have different cross-sectional shapes including triangles, rectangles, or other polygons. They are defined as having two identical, parallel bases connected by rectangular or polygonal faces.
Plane shapes are two-dimensional with measurements of length and breadth, while solid objects are three-dimensional with measurements of length, breadth, and height or depth. Common two-dimensional shapes include circles, squares, rectangles, quadrilaterals, and triangles, while common three-dimensional solids include cubes, cuboids, spheres, cylinders, cones, and pyramids. Solid shapes can be visualized through sketches from different angles like the front, side, and top views or by slicing the solid to view its cross-section.
NCV 3 Mathematical Literacy Hands-On Support Slide Show - Module 4Future Managers
This slide show complements the learner guide NCV 3 Mathematical Literacy Hands-On Training by San Viljoen, published by Future Managers. For more information visit our website www.futuremanagers.net
Geometry is a branch of mathematics that deals with measurement and spatial relationships. It is used to calculate areas, perimeters, volumes, and other properties of shapes and spaces. Geometry is applied in many fields like carpentry, painting, gardening, engineering, surveying, astronomy, graphic design, and medical imaging. It allows people in these occupations to perform measurements and calculations essential to their work.
farm area perimeter volume technology and livelihood educationmamvic
area perimeter and volume lesson in mathematics technology and livelihood education helps students about mathematics in farm activities easy to understand lesson about area perimeter and volume. has something to do about how students will study and understand lesson related to technology and livelihood education and mathematics relationship.
Geometry is used in many areas of real life. It is primarily developed to measure lengths, areas, and volumes and is used for practical applications like carpeting, gardening, and conical hats. Geometry is also important in fields like computers, where software uses coordinate geometry as a basis. It has applications in photography through use of lighting angles, in stairs through inclined angles, and in physics through equations of motion. Geometry is key in graphics design, buildings, vehicles, cycles, surveying, and other areas involving shapes and spatial relationships.
This document discusses concepts of area, perimeter, and volume. It defines each concept and provides formulas to calculate these measurements for different shapes like rectangles, triangles, circles, cylinders, spheres and other irregular shapes. Area is the measure of surface enclosed by a shape. Perimeter is the distance around a shape. Volume measures space occupied by 3D shapes. Formulas to calculate these values are given for various regular shapes. The conclusion restates the importance of understanding these concepts for analyzing properties of shapes.
The document provides information about mensuration and clocks:
Mensuration deals with geometric shapes, their areas, volumes, and parameters. It discusses calculating areas and volumes of 2D and 3D shapes like rectangles, squares, triangles, circles, cubes, cylinders, and spheres. Practice questions with solutions are provided to help understand these concepts.
Clocks are also discussed. The key parts of a clock include the dial, hour and minute hands. Formulas are given to calculate the angle between the hands based on the time. Practice questions on clocks focus on reading times from analog clocks and calculating angles between the hands.
The document discusses teaching concepts related to shape and space for Year 4, including:
1. Two-dimensional shapes and calculating their perimeter and area, such as squares, rectangles, and triangles.
2. Three-dimensional shapes like cubes and cuboids, and calculating their volume.
3. Key formulas for calculating perimeter, area, and volume of different shapes. Examples of problems are provided to help teach these concepts.
This document provides an overview of the topics that will be covered in a unit on graphic expression and communication. It discusses the differences between artistic drawing and technical drawing, various drawing tools and what they are used for, and the differences between sketches, diagrams, and technical drawings. It also addresses scale, dimensions, and views of objects in technical drawings. Key terms are defined for drawing tools, types of paper, and how to use a ruler, protractor, set square, and compass.
This document discusses geometry concepts related to length, area, and volume. It includes examples of calculating perimeters of different shapes and composite figures. Conversions between different units of length are also covered. The document contains instructions for an origami investigation involving folding a square piece of paper into geometric shapes.
Geometry is a branch of mathematics concerned with measuring and studying the properties and relationships of points, lines, angles, surfaces and solids. It has many practical applications in areas like carpentry, painting, gardening, construction and more. Geometry is also used in many occupations including mechanical engineering, surveying, mathematics, astronomy, graphic design and computer imaging.
Geometry is a branch of mathematics that deals with measurement and spatial relationships. It is used in many fields to quantify real-world objects and phenomena. Some examples of everyday uses of geometry include calculating the area of rooms to determine carpet or paint needs, and finding the perimeter of gardens to fence them. Geometry is also used in occupations like engineering, surveying, astronomy, graphic design, and medicine through applications like trigonometry, mapping, modeling orbits, creating visually pleasing designs, and medical imaging. It underpins many areas of science, technology, and everyday life.
Mathematics form 1&2 short simple notes By Kelvin 2H/2017KelvinSmart2
This document provides notes on mathematics concepts for Form 1 and Form 2. For Form 1, it covers topics like operations, number sequences, fractions, measurements, angles, triangles, quadrilaterals, perimeter, area, geometric solids and their properties. For Form 2, it discusses directed numbers, squares, ratios, Pythagoras theorem, coordinates, circles, transformations, statistics and solid geometry. Formulas for calculating perimeter, area, volume, surface area and angles are also presented. The notes were prepared by Kelvin from Class 2H of SMJK Heng Ee on 28/10/2017 as a short simple revision guide.
Solids Shapes _Solid geometry_ in Maths & their types and Formulas.pdfTakshila Learning
This document discusses solid shapes in math and their properties. It defines solids as three-dimensional shapes and explains some key solid shapes like cubes, cuboids, spheres, cylinders and cones. It provides the properties of each shape like number of faces, edges and vertices. It also includes formulas to calculate the volume and total surface area of different solids. Some example calculations using these formulas are shown. Finally, it addresses some frequently asked questions about solid shapes.
SURFACE AREAS AND VOLUMES OF SOLID FIGURES - MENSURATIONindianeducation
This document discusses surface areas and volumes of solid figures. It begins by defining surface area as the measure of the boundary of a solid figure, while volume is the measure of the space enclosed. It then discusses cuboids and cubes, providing formulas for their surface areas and volumes. The surface area of a cuboid is 2(lb + bh + hl) and its volume is lbh. The surface area of a cube of side a is 6a2 and its volume is a3. Several examples are given applying these formulas to problems involving cuboids, cubes, and other solids.
This document defines and provides examples of 2D and 3D shapes. It discusses the basic geometric shapes including squares, triangles, circles, cubes, cylinders, cones, and spheres. It also covers regular and irregular 2D shapes. Examples and diagrams are provided for many of the shapes. Matching exercises are included to test understanding of different shapes.
This document defines and provides examples of 2D and 3D shapes. It discusses the basic geometric shapes including squares, triangles, circles, cubes, spheres and cylinders. It also covers regular and irregular shapes. Examples of regular shapes include squares, regular hexagons and regular pentagons, which have equal sides and angles. The document includes images to illustrate the different shapes and provides a worksheet with questions to test understanding.
MATEMÁTICA | SEMANA 35 | 2ª SÉRIE | ÁREA E VOLUME DE CILINDROS E PRISMASGoisBemnoEnem
The document discusses geometry, specifically focusing on spatial geometry, areas, perimeters, and volumes of prisms and cylinders. It defines key terms like area, perimeter, and volume. It provides formulas for calculating the area and volume of prisms and cylinders. It includes an example problem calculating the area, lateral area, and volume of a cylinder with a given height and radius.
Five year plans in India Goals and Achievements – CBSE Class 12.pdfTakshila Learning
Five-year plans in India Goals and Achievements: The Five-Year Plans were national economic programmes that were centralized and integrated. Joseph Stalin implemented the first such plan in the Soviet Union in 1928.
General Knowledge Questions for Kids – Our Earth.pdfTakshila Learning
Some of the important General Knowledge gk questions from Our Earth for class 5 Students which will help them to prepare for various school level entrance tests
Inside Our Earth _ Interior of the Earth – Class 7 Geography(Social Science)Takshila Learning
Interior of the Earth In this article, we will study the interior of the earth diagram, three layers of the earth Crust, Mantle, and Core chapter 2 of Class 7 Social science Geography Inside our earth class 7 notes
Cell The fundamental unit of life Class 9 Science Notes.pdfTakshila Learning
The fundamental unit of life notes A cell is a structural and fundamental unit of life A cell is capable of independent existence and can carry out all the functions which are necessary for a living being, Such as nutrition, respiration, excretion, transportation,
NCERT CBSE Class 5 Science Animal Organs for breathing in animals.pdfTakshila Learning
NCERT CBSE Class 5 Science Animal Every animal has unique characteristics and features They will have distinct ears, eyes, and skin Some might have horns, some long tails, some with a short bushy
CBSE NCERT For Solutions Class 5 Science Diseases.pdfTakshila Learning
CBSE NCERT For Solutions Class 5 Science Diseases Learn What is a disease, Causes of Diseases Like Malaria, Chickenpox Plague, Noncommunicable or deficiency Diseases
This worksheet is for Class 2 Science, comprising the topic of the Human Body Parts It will help students develop a better understanding of the Human Body
This document provides an English grammar practice worksheet on pronouns for class 1 students. It contains exercises for students to choose the correct pronouns to fill in blanks in sentences. It also contains exercises for students to rewrite sentences using pronouns instead of repeated nouns. The document advertises the website takshilalearning.com and provides links to download additional English worksheets for class 1 students on topics like prepositions, verbs, and more.
English Grammar Worksheet - A preposition is a term that shows how a noun is related to the other words in a sentence Download the free Preposition Worksheet for practice.
English Grammar for Class 5 - Common and Proper Nouns.pdfTakshila Learning
Common and Proper nouns worksheets with answers Proper nouns are the words that refer to a unique person, animal, or thing The easiest way to spot a proper noun is they always begin with a capital letter
Cyber security refers to the practice of protecting computer systems and networks from malicious outside interference Download Practice Grade 4 Computer Worksheet
NCERT & CBSE For Class 6 Science Parts of a plant Chapter – 7.pdfTakshila Learning
NCERT CBSE For Class 6 Science Parts of a plant Chapter 7 - Root, Features of a root, Type of root, Features of Stem, Parts of a Leaf, Parts of a flower. A typical plant has different parts in its body viz, Roots, stem, leaves, flowers and fruits. The part which is present under ground is known as roots
A keyboard is one of the most used input devices for entering text into a computer or any other electronic device. This worksheet is for Class 4 Computers, comprising the topic of keyboards. It will help students develop a better understanding of the keyboard and how and why it gets used.
Soil – Process of soil formation Class 7 Science.pdfTakshila Learning
The document discusses soil formation and types of soil. It explains that soil is formed through processes like physical weathering, chemical weathering, and biological weathering which break down rocks. There are three main types of soil - sandy soil which is light and drains quickly, clayey soil which is dense and retains water, and loamy soil which is a mix and balances the properties. Soil has various uses including in agriculture, pottery, medicine, and building.
Sentences and Their Types With Examples | Class 5 English WorksheetTakshila Learning
Sentences types worksheet A sentence is a set of words that completes a thought or an idea It starts with a capital letter and ends with a full stop. Download PDF
This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.
A workshop hosted by the South African Journal of Science aimed at postgraduate students and early career researchers with little or no experience in writing and publishing journal articles.
How to Setup Warehouse & Location in Odoo 17 InventoryCeline George
In this slide, we'll explore how to set up warehouses and locations in Odoo 17 Inventory. This will help us manage our stock effectively, track inventory levels, and streamline warehouse operations.
The simplified electron and muon model, Oscillating Spacetime: The Foundation...RitikBhardwaj56
Discover the Simplified Electron and Muon Model: A New Wave-Based Approach to Understanding Particles delves into a groundbreaking theory that presents electrons and muons as rotating soliton waves within oscillating spacetime. Geared towards students, researchers, and science buffs, this book breaks down complex ideas into simple explanations. It covers topics such as electron waves, temporal dynamics, and the implications of this model on particle physics. With clear illustrations and easy-to-follow explanations, readers will gain a new outlook on the universe's fundamental nature.
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar Kanvaria
How to Fix the Import Error in the Odoo 17Celine George
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
How to Build a Module in Odoo 17 Using the Scaffold MethodCeline George
Odoo provides an option for creating a module by using a single line command. By using this command the user can make a whole structure of a module. It is very easy for a beginner to make a module. There is no need to make each file manually. This slide will show how to create a module using the scaffold method.
বাংলাদেশের অর্থনৈতিক সমীক্ষা ২০২৪ [Bangladesh Economic Review 2024 Bangla.pdf] কম্পিউটার , ট্যাব ও স্মার্ট ফোন ভার্সন সহ সম্পূর্ণ বাংলা ই-বুক বা pdf বই " সুচিপত্র ...বুকমার্ক মেনু 🔖 ও হাইপার লিংক মেনু 📝👆 যুক্ত ..
আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
বিসিএস ও ব্যাংক এর লিখিত পরীক্ষা ...+এছাড়া মাধ্যমিক ও উচ্চমাধ্যমিকের স্টুডেন্টদের জন্য অনেক কাজে আসবে ...
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPRAHUL
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
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Mensuration class 6 worksheet – CBSE /ICSE/NCERT
This worksheet is for class 6 maths, comprising the topic of mensuration. It will
help students develop a better understanding of mensuration such as area and
perimeter.
The worksheet completion will make the students easily comprehend the
following:
1. Define Mensuration.
2. What are the types of mensuration?
3. Distinguish between Geometry and Mensuration.
What is Mensuration?
1. Define Mensuration.
Mensuration meaning: Mensuration is a mathematical concept that entails
calculating areas, perimeters, and volumes of various geometrical objects,
among other things. These shapes are either two dimensional or three.
Therefore, we learn to calculate the areas, perimeters and volumes of these 2D
and 3D shapes. We do so by using mathematical formulae and algebraic
equations.
As such, mensuration is the discipline of geometry concerned with the
measurement of sides and volumes. It covers the basics and characteristics of
numerous figures and shapes.
For example, mensuration can determine the length of a cloth needed for
sewing or the size of a wall to paint or the amount of water required to fill a tank.
2. What are Mensuration types?
Mensuration is of two types:
2D Mensuration
2D figures have only two dimensions, which are primarily length and width
because height (or depth) does not exist in a 2D figure. For 2D figures, only areas
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can be calculated, but not volume. In 2D figures, sides are made up of straight
lines, i.e. x-axis and y-axis.
Some 2D figures are:
Square
Rectangle
Circle
Triangles
Parallelogram
3D Mensuration
In 3D figures, length, breadth, and height (or depth) are the three dimensions.
Certain examples of 3D figures in our daily life are pencils, cylinders, books, and
many more. Since 3D shapes occupy space, so they have an area and volume.
The three dimensions of 3D shapes are the x-axis, y-axis, and z-axis.
Some 3D figures are:
Cube
Cuboid
Cylinder
Sphere
Cone
3. Distinguish between Geometry and Mensuration.
Mensuration
Mensuration is the study of the qualities and relationships of points and lines of
various shapes, whereas geometry is the computation of several parameters of
forms such as perimeter, area, volume, and so on.
Geometry
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Geometry is a branch of mathematics that deals with the angles, forms, sizes,
and dimensions of a broad variety of things that we see in our daily lives.
Mensuration is a notion in geometry. The size, area, and density of distinct 2D
and 3D shapes are all considered in mensuration.
Mensuration Worksheet for Class 6 with Answers
I) Fill in the blanks:
1. Perimeter is also known as ______ of the boundary.
2. With all sides, 6 cm, the area of a square is______.
3. If the perimeter of a square carom-board is 480 cm, then each side length is______.
4. _______ is the length of each side of a square if its area is 196 cm2.
5. With each side 12cm, perimeter of triangle is _______.
II) True or False
1. A normal octagon with a side of 5 cm has a perimeter of 40 cm.
2. When the side of a square is doubled, the area of the square is likewise doubled.
3. To build a compound wall around a house, an engineer must first figure out the
compound’s size.
4. To determine the cost of painting a wall, we must first determine the wall’s
perimeter.
5. To determine the cost of a photo frame, we must first determine the picture’s
perimeter.