This document provides information about plane (2D) and 3D figures, including their definitions, examples, and formulas to calculate their areas and volumes. Plane figures are flat shapes that can be made of straight lines, curved lines, or both. 3D figures have height, depth and width and do not lie entirely in a plane. Examples of plane figures include squares, rectangles, trapezoids and circles, while 3D figures include cubes, cuboids, cylinders, cones, spheres and hemispheres. Formulas are given to calculate the areas of common plane shapes like squares, rectangles, triangles and circles, as well as the volumes and surface areas of various 3D solids.
Research methodology (Philosophies and paradigms) in ArabicAmgad Badewi
Explaining research philosophies and paradigms. Explaining the ontology, epistemology and of different research paradigms. In addition, explaining how to innovate in research using pragmatic research. Finally, explaining Grounded Theory at the end of it.
Mathematics can be divided into various branches based on different classification schemes. A traditional division is into pure mathematics, which is studied for its own interest, and applied mathematics, which can be directly applied to real world problems. Some key branches include:
Arithmetic, the oldest branch involving the study of numbers and basic operations between them.
Algebra, which studies the properties of numbers and methods to solve equations, leading to abstract algebra and concepts like vectors.
Mathematical analysis, concerning continuous change and theories like differentiation, integration and limits.
Combinatorics, focused on discrete collections and their structures, including graph theory and counting objects.
Geometry and topology, dealing with spatial relationships using axioms
about daliy life using math in this ppt you will learn about volume and suraface area etc.3d shapes and many more new thing you can learn from this ppt
This document summarizes a seminar paper on incorporating ethnomathematics into school curriculums. It defines ethnomathematics as the mathematics practiced in cultural groups, and discusses how mathematics competencies learned at home are lost when formal schooling begins. The paper explores how to address ethnomathematics in curriculums, which cultural contents would be best, and how to teach them to diverse students. Integrating an ethnomathematical perspective could make mathematics more accurate and inclusive, while helping students respect other communities and view themselves as capable learners.
This document discusses the differences between two-dimensional (2D) and three-dimensional (3D) shapes. It provides examples of common 2D shapes like circles, squares, and triangles. It also lists 3D solids such as spheres, cubes, cylinders, cones, and pyramids. The document explains properties of shapes like dimension, length, area, surface area, and volume. Dimension describes whether a shape has depth. Length refers to the measure of edges. Area applies to 2D shapes while surface area is the total area of all faces of 3D solids. Volume measures the space inside 3D shapes.
This document provides information about mensuration and geometry topics such as trapezoids, rhombuses, cubes, cuboids, cylinders, and their formulas for area, surface area, and volume. It includes definitions and examples of each shape. There are also example problems, tables summarizing the formulas, and a multiple choice and short answer question bank related to mensuration. The document was created by Arnav Gosain of VIII-C at Tagore International School for the purpose of learning about geometry topics involving area, surface area, and volume calculations.
The document summarizes the meeting between writer Firdaus Kanga and scientist Stephen Hawking. Kanga, who uses a wheelchair due to brittle bones, was excited to meet Hawking, another disabled man who is confined to a wheelchair. During their meeting, Hawking advises disabled people to concentrate on things they are good at, rather than what they cannot do. Kanga supports this message, recalling how he embarrassed himself trying to learn guitar instead of focusing his talents. Both men find beauty and ability within themselves despite their physical disabilities.
This document provides information about plane (2D) and 3D figures, including their definitions, examples, and formulas to calculate their areas and volumes. Plane figures are flat shapes that can be made of straight lines, curved lines, or both. 3D figures have height, depth and width and do not lie entirely in a plane. Examples of plane figures include squares, rectangles, trapezoids and circles, while 3D figures include cubes, cuboids, cylinders, cones, spheres and hemispheres. Formulas are given to calculate the areas of common plane shapes like squares, rectangles, triangles and circles, as well as the volumes and surface areas of various 3D solids.
Research methodology (Philosophies and paradigms) in ArabicAmgad Badewi
Explaining research philosophies and paradigms. Explaining the ontology, epistemology and of different research paradigms. In addition, explaining how to innovate in research using pragmatic research. Finally, explaining Grounded Theory at the end of it.
Mathematics can be divided into various branches based on different classification schemes. A traditional division is into pure mathematics, which is studied for its own interest, and applied mathematics, which can be directly applied to real world problems. Some key branches include:
Arithmetic, the oldest branch involving the study of numbers and basic operations between them.
Algebra, which studies the properties of numbers and methods to solve equations, leading to abstract algebra and concepts like vectors.
Mathematical analysis, concerning continuous change and theories like differentiation, integration and limits.
Combinatorics, focused on discrete collections and their structures, including graph theory and counting objects.
Geometry and topology, dealing with spatial relationships using axioms
about daliy life using math in this ppt you will learn about volume and suraface area etc.3d shapes and many more new thing you can learn from this ppt
This document summarizes a seminar paper on incorporating ethnomathematics into school curriculums. It defines ethnomathematics as the mathematics practiced in cultural groups, and discusses how mathematics competencies learned at home are lost when formal schooling begins. The paper explores how to address ethnomathematics in curriculums, which cultural contents would be best, and how to teach them to diverse students. Integrating an ethnomathematical perspective could make mathematics more accurate and inclusive, while helping students respect other communities and view themselves as capable learners.
This document discusses the differences between two-dimensional (2D) and three-dimensional (3D) shapes. It provides examples of common 2D shapes like circles, squares, and triangles. It also lists 3D solids such as spheres, cubes, cylinders, cones, and pyramids. The document explains properties of shapes like dimension, length, area, surface area, and volume. Dimension describes whether a shape has depth. Length refers to the measure of edges. Area applies to 2D shapes while surface area is the total area of all faces of 3D solids. Volume measures the space inside 3D shapes.
This document provides information about mensuration and geometry topics such as trapezoids, rhombuses, cubes, cuboids, cylinders, and their formulas for area, surface area, and volume. It includes definitions and examples of each shape. There are also example problems, tables summarizing the formulas, and a multiple choice and short answer question bank related to mensuration. The document was created by Arnav Gosain of VIII-C at Tagore International School for the purpose of learning about geometry topics involving area, surface area, and volume calculations.
The document summarizes the meeting between writer Firdaus Kanga and scientist Stephen Hawking. Kanga, who uses a wheelchair due to brittle bones, was excited to meet Hawking, another disabled man who is confined to a wheelchair. During their meeting, Hawking advises disabled people to concentrate on things they are good at, rather than what they cannot do. Kanga supports this message, recalling how he embarrassed himself trying to learn guitar instead of focusing his talents. Both men find beauty and ability within themselves despite their physical disabilities.
The SAFE Act aims to establish a national strategy to protect fish, wildlife, and plants from the impacts of climate change. It creates a working group of federal and state agencies to oversee the strategy. The working group will develop and periodically revise local adaptation plans in collaboration with stakeholders. The plans will aim to maintain species' resilience by improving habitat and adjusting conservation efforts in response to climate impacts. Measuring the success of conservation actions will allow plans to evolve based on the latest scientific understanding of climate change effects on biodiversity. The SAFE Act provides a framework for coordinated action across jurisdictions to safeguard natural resources and ecosystem services.
Este documento resume los orígenes y la evolución de los videojuegos desde las primeras décadas de 1950 hasta la actualidad. Explica que los videojuegos permiten a los jugadores interactuar con entornos virtuales para alcanzar objetivos dentro de reglas determinadas. Describe los principales géneros de videojuegos como la acción, estrategia y rol, así como las plataformas más populares como las consolas, ordenadores y dispositivos portátiles. También destaca el auge reciente de los videojuegos independientes desarrollados por pequeños
El documento describe el PANAS, un sistema de navegación personal español para paracaidistas militares. El PANAS guía de forma segura a grupos a sus objetivos mediante un sistema de navegación portátil y una estación en tierra. El sistema permite alcanzar objetivos en condiciones adversas minimizando riesgos y maximizando la seguridad.
Este documento resume la información de una estudiante llamada Miriam Alcira Yumi Fernández que cursa el séptimo nivel en la sede de Riobamba, Ecuador. Describe el proceso de planificación nacional de Ecuador, incluyendo la participación ciudadana a través de talleres y consultas con diferentes grupos para definir políticas que promuevan la equidad e inclusión. El objetivo es integrar las aspiraciones de la sociedad en la planificación y optimizar los recursos entre los diferentes niveles de gobierno.
Sistema de instrumentación para la monitorización y grabación de buses digitales tanto embarcados en avión como dispuestos en bancos de ensayos en tierra
ACEP TCPI's Support and Alignment Network (SAN) Informationmichelleclin
ACEP's newest quality improvement initiative, funded by the Center for Medicare & Medicaid Innovation (CMMI) and part of the Transforming Clinical Practice Initiative (TCPI).
Este periódico del siglo XVIII informa sobre las relaciones amorosas de famosos de la época. Incluye una sección de clasificados sobre el amor y busca un actor para una telenovela sobre el tema. También habla de un deportista que admite problemas en su matrimonio y rumores sobre las intenciones económicas de una pareja al casarse.
An Interpretative Study Of Physicians’ Perception Of Spirituality With Specia...iosrjce
This document presents the results of a qualitative study exploring physicians' perceptions of spirituality and obstacles to integrating spirituality into Iran's medical care system. In-depth interviews were conducted with 20 physicians from Shiraz University of Medical Sciences. The analysis identified 3 types of spirituality perceptions among physicians: 1) religion-based spirituality, 2) transcendental spirituality, and 3) horizontal spirituality. Five main obstacles to integrating spirituality were also identified: 1) lack of common spirituality discourse, 2) time constraints due to high patient volumes, 3) doubts about political motivations, 4) biomedical education focusing on science, and 5) lack of training in humanities. The study provides insights into how spirit
[Challenge:Future] PANSOPHY - SYSTEM OF UNIVERSAL KNOWLEDGEChallenge:Future
The document describes a futuristic world where augmented reality and quantum computing have advanced technology to the point where people can access all information and control devices with their thoughts. An entrepreneur discusses running their successful startup and how the business world of the future focuses on attracting talented individuals by offering flexibility, challenging work, and opportunities for innovation and entrepreneurship within companies. Education is also focused on developing soft skills like leadership and creativity to create successful entrepreneurs.
This 3 sentence summary provides the essential information from the document:
This certificate is awarded to Michelle Rowland for having successfully completed the training and course work for the XERO Basic Course, as certified by Shashi Sharma, Senior Trainer at Bizmate Limited on August 21, 2013 in Auckland, New Zealand.
Rumbo a la Ocupación Global - Gary H. KahEbo Black
English version (CLICK - Ebo Black)
El enlace de alto rango en el gobierno Gary Kah advierte que la soberanía nacional pronto será cosa del pasado. Las fuerzas políticas de alrededor del mundo están ahora cooperando de modo sin precedente para lograr su meta de unir a la población de este planeta bajo un "Nuevo Orden Mundial".
This document is a Certificate of Achievement awarded to Michelle Rowland for successfully completing a MYOB Payroll course. The certificate was issued by Shashi Sharma, a Senior Trainer at Bizmate Pty Limited, and was dated April 23, 2013.
Medical Education and Social Media Overview by Dr. David Marcusmichelleclin
This document provides a six step guide to achieving academic independence through free open access medical education (FOAM). The six steps are: 1) Join Twitter, 2) Read medical blogs, 3) Listen to podcasts/vodcasts, 4) Join GMEP.org, 5) Use aggregator websites to organize content, and 6) Use essential apps like Pulse and Feedly to stream new posts and QXMD Read to access academic journals. Following these steps allows lifelong learning through online resources that provide the latest medical knowledge, discussions, and insights.
Modelling 3D structures such as ponds, swales, channels and embankments is a relatively new advancement in the industry. Presented at the CIWEM Urban Drainage Group Conference this paper looks specifically at advances that have been made in hydraulic modelling techniques.
ENFOQUE GLOBAL Y SISTÉMICO DE LA MOTRICIDAD ( Guía para entender el lugar de ...hugomedina36
Este documento describe el componente curricular de Educación Física. Explica que aunque no se trata como una asignatura, la Educación Física es fundamental para el desarrollo integral de los estudiantes, especialmente para APRENDER A CONVIVIR. Luego, detalla el área de Desarrollo Corporal y Salud, dividiéndola en tres ejes: Corporeidad, Motricidad y Creatividad. Finalmente, enumera los propósitos de esta área, que incluyen desarrollar la motricidad individual, la autonomía y
Sistema de instrumentación para la monitorización y grabación de buses digita...englobe
Sistema de instrumentación para la monitorización y grabación de buses digitales MIL-STD-1553B tanto embarcados en avión como dispuestos en bancos de ensayos en tierra.
This document discusses mensuration, which is the use of formulas to calculate perimeters, areas, and volumes of plane and solid shapes. It provides formulas and examples for calculating the areas of rectangles, triangles, trapezoids, circles, and composite figures. It also discusses surface area and volume formulas for three-dimensional shapes like boxes, cylinders, prisms, pyramids, cones, spheres, and solids in general. Diagrams and step-by-step examples are provided to demonstrate calculating measurements of various shapes.
The document discusses different types of three-dimensional shapes studied in solid geometry. It provides definitions and examples of cubes, rectangular prisms, cylinders, spheres, cones, and pyramids. It also gives the formulas for calculating the volume and surface area of these shapes. For each shape, it provides examples of applying the formulas to solve volume and surface area problems.
Classify three-dimensional figures according to their properties.
Use nets and cross sections to analyze three-dimensional figures.
Extend midpoint and distance formulas to three dimensions
Here are the steps to solve this problem:
1) Area of square = s^2 = 4^2 = 16 cm^2
2) Area of shaded region 1 = 1/2 * 4 * 4 = 8 cm^2
3) Area of shaded region 2 = 1/4 * 4 * 4 = 4 cm^2
So the total area of the shaded regions is 8 + 4 = 12 cm^2.
The SAFE Act aims to establish a national strategy to protect fish, wildlife, and plants from the impacts of climate change. It creates a working group of federal and state agencies to oversee the strategy. The working group will develop and periodically revise local adaptation plans in collaboration with stakeholders. The plans will aim to maintain species' resilience by improving habitat and adjusting conservation efforts in response to climate impacts. Measuring the success of conservation actions will allow plans to evolve based on the latest scientific understanding of climate change effects on biodiversity. The SAFE Act provides a framework for coordinated action across jurisdictions to safeguard natural resources and ecosystem services.
Este documento resume los orígenes y la evolución de los videojuegos desde las primeras décadas de 1950 hasta la actualidad. Explica que los videojuegos permiten a los jugadores interactuar con entornos virtuales para alcanzar objetivos dentro de reglas determinadas. Describe los principales géneros de videojuegos como la acción, estrategia y rol, así como las plataformas más populares como las consolas, ordenadores y dispositivos portátiles. También destaca el auge reciente de los videojuegos independientes desarrollados por pequeños
El documento describe el PANAS, un sistema de navegación personal español para paracaidistas militares. El PANAS guía de forma segura a grupos a sus objetivos mediante un sistema de navegación portátil y una estación en tierra. El sistema permite alcanzar objetivos en condiciones adversas minimizando riesgos y maximizando la seguridad.
Este documento resume la información de una estudiante llamada Miriam Alcira Yumi Fernández que cursa el séptimo nivel en la sede de Riobamba, Ecuador. Describe el proceso de planificación nacional de Ecuador, incluyendo la participación ciudadana a través de talleres y consultas con diferentes grupos para definir políticas que promuevan la equidad e inclusión. El objetivo es integrar las aspiraciones de la sociedad en la planificación y optimizar los recursos entre los diferentes niveles de gobierno.
Sistema de instrumentación para la monitorización y grabación de buses digitales tanto embarcados en avión como dispuestos en bancos de ensayos en tierra
ACEP TCPI's Support and Alignment Network (SAN) Informationmichelleclin
ACEP's newest quality improvement initiative, funded by the Center for Medicare & Medicaid Innovation (CMMI) and part of the Transforming Clinical Practice Initiative (TCPI).
Este periódico del siglo XVIII informa sobre las relaciones amorosas de famosos de la época. Incluye una sección de clasificados sobre el amor y busca un actor para una telenovela sobre el tema. También habla de un deportista que admite problemas en su matrimonio y rumores sobre las intenciones económicas de una pareja al casarse.
An Interpretative Study Of Physicians’ Perception Of Spirituality With Specia...iosrjce
This document presents the results of a qualitative study exploring physicians' perceptions of spirituality and obstacles to integrating spirituality into Iran's medical care system. In-depth interviews were conducted with 20 physicians from Shiraz University of Medical Sciences. The analysis identified 3 types of spirituality perceptions among physicians: 1) religion-based spirituality, 2) transcendental spirituality, and 3) horizontal spirituality. Five main obstacles to integrating spirituality were also identified: 1) lack of common spirituality discourse, 2) time constraints due to high patient volumes, 3) doubts about political motivations, 4) biomedical education focusing on science, and 5) lack of training in humanities. The study provides insights into how spirit
[Challenge:Future] PANSOPHY - SYSTEM OF UNIVERSAL KNOWLEDGEChallenge:Future
The document describes a futuristic world where augmented reality and quantum computing have advanced technology to the point where people can access all information and control devices with their thoughts. An entrepreneur discusses running their successful startup and how the business world of the future focuses on attracting talented individuals by offering flexibility, challenging work, and opportunities for innovation and entrepreneurship within companies. Education is also focused on developing soft skills like leadership and creativity to create successful entrepreneurs.
This 3 sentence summary provides the essential information from the document:
This certificate is awarded to Michelle Rowland for having successfully completed the training and course work for the XERO Basic Course, as certified by Shashi Sharma, Senior Trainer at Bizmate Limited on August 21, 2013 in Auckland, New Zealand.
Rumbo a la Ocupación Global - Gary H. KahEbo Black
English version (CLICK - Ebo Black)
El enlace de alto rango en el gobierno Gary Kah advierte que la soberanía nacional pronto será cosa del pasado. Las fuerzas políticas de alrededor del mundo están ahora cooperando de modo sin precedente para lograr su meta de unir a la población de este planeta bajo un "Nuevo Orden Mundial".
This document is a Certificate of Achievement awarded to Michelle Rowland for successfully completing a MYOB Payroll course. The certificate was issued by Shashi Sharma, a Senior Trainer at Bizmate Pty Limited, and was dated April 23, 2013.
Medical Education and Social Media Overview by Dr. David Marcusmichelleclin
This document provides a six step guide to achieving academic independence through free open access medical education (FOAM). The six steps are: 1) Join Twitter, 2) Read medical blogs, 3) Listen to podcasts/vodcasts, 4) Join GMEP.org, 5) Use aggregator websites to organize content, and 6) Use essential apps like Pulse and Feedly to stream new posts and QXMD Read to access academic journals. Following these steps allows lifelong learning through online resources that provide the latest medical knowledge, discussions, and insights.
Modelling 3D structures such as ponds, swales, channels and embankments is a relatively new advancement in the industry. Presented at the CIWEM Urban Drainage Group Conference this paper looks specifically at advances that have been made in hydraulic modelling techniques.
ENFOQUE GLOBAL Y SISTÉMICO DE LA MOTRICIDAD ( Guía para entender el lugar de ...hugomedina36
Este documento describe el componente curricular de Educación Física. Explica que aunque no se trata como una asignatura, la Educación Física es fundamental para el desarrollo integral de los estudiantes, especialmente para APRENDER A CONVIVIR. Luego, detalla el área de Desarrollo Corporal y Salud, dividiéndola en tres ejes: Corporeidad, Motricidad y Creatividad. Finalmente, enumera los propósitos de esta área, que incluyen desarrollar la motricidad individual, la autonomía y
Sistema de instrumentación para la monitorización y grabación de buses digita...englobe
Sistema de instrumentación para la monitorización y grabación de buses digitales MIL-STD-1553B tanto embarcados en avión como dispuestos en bancos de ensayos en tierra.
This document discusses mensuration, which is the use of formulas to calculate perimeters, areas, and volumes of plane and solid shapes. It provides formulas and examples for calculating the areas of rectangles, triangles, trapezoids, circles, and composite figures. It also discusses surface area and volume formulas for three-dimensional shapes like boxes, cylinders, prisms, pyramids, cones, spheres, and solids in general. Diagrams and step-by-step examples are provided to demonstrate calculating measurements of various shapes.
The document discusses different types of three-dimensional shapes studied in solid geometry. It provides definitions and examples of cubes, rectangular prisms, cylinders, spheres, cones, and pyramids. It also gives the formulas for calculating the volume and surface area of these shapes. For each shape, it provides examples of applying the formulas to solve volume and surface area problems.
Classify three-dimensional figures according to their properties.
Use nets and cross sections to analyze three-dimensional figures.
Extend midpoint and distance formulas to three dimensions
Here are the steps to solve this problem:
1) Area of square = s^2 = 4^2 = 16 cm^2
2) Area of shaded region 1 = 1/2 * 4 * 4 = 8 cm^2
3) Area of shaded region 2 = 1/4 * 4 * 4 = 4 cm^2
So the total area of the shaded regions is 8 + 4 = 12 cm^2.
Heron's formula provides a method to calculate the area of any triangle using only the lengths of the three sides. It states that the area of a triangle is equal to the square root of the semi-perimeter (half the perimeter) multiplied by the semi-perimeter minus each side, one at a time. This formula is useful when it is difficult to determine the triangle's height to use the standard area formula of one-half base times height. It also allows calculating the areas of certain quadrilaterals. The formula was derived by the ancient Greek mathematician Heron of Alexandria around 10 AD.
This document presents information about various geometric shapes and formulas for calculating dimensions such as perimeter, area, surface area, and volume. It defines length, width, and height. Formulas are provided for calculating the perimeter and area of rectangles, squares, triangles, parallelograms, trapezoids, and circles. Surface area and volume formulas are given for cubes, cuboids, cylinders, cones, spheres, and other three-dimensional shapes.
The document discusses Heron's formula for calculating the area of a triangle. Heron's formula uses the lengths of the three sides of a triangle to calculate its area, rather than requiring the base and height. The formula is defined as the square root of s(s-a)(s-b)(s-c), where s is the semi-perimeter (half the perimeter) and a, b, c are the three side lengths. The formula is useful when it is difficult to measure the base and height of a triangle directly. An example problem demonstrates calculating the area of a triangle with side lengths 3cm, 4cm, and 5cm using Heron's formula.
Measurement of Three Dimensional Figures _Module and test questions.Elton John Embodo
This is a fort-folio requirement in my Assessment in Student Learning 1...It consists of module about the measurement of Three Dimensional Figures and test questions like Completion, Short Answer, Essay, Multiple Choice and Matching Type.
This document provides information about measuring and calculating dimensions of 3D geometric shapes. It defines various 3D shapes like polyhedrons, prisms, pyramids, cylinders, cones and spheres. It also provides formulas to calculate the surface area and volume of these shapes. Surface area is defined as the total area of the outer surfaces, while volume is the space enclosed within the shape. Formulas are given for surface area of cubes, rectangular prisms, cylinders, cones, spheres and volume of rectangular prisms, triangular prisms, square pyramids, cylinders, cones and spheres.
The document provides information on surface area and volume formulas and calculations for basic 3D shapes including prisms, cubes, cylinders, cones, and spheres. It defines key terms like surface area and volume and provides example calculations and formulas for finding the surface area and volume of cubes, rectangular prisms, cylinders, cones, and spheres. Diagrams and examples are included to illustrate the different shapes and how to set up the surface area and volume calculations.
The document discusses surface area of 3D solids including prisms, pyramids, and cylinders. It defines total surface area, lateral surface area, and provides formulas for calculating the surface area of different solids. An example problem compares the surface area of a can and box, and another calculates the surface area of the glass pyramid at the Louvre museum entrance.
Surface Area_Volume of Solid Figures.pptLuisSalenga1
The document provides information about calculating the surface area of cylinders and cones. It begins by defining a cylinder and its components. It then derives the formula for the surface area of a cylinder by imagining unrolling the cylinder surface. The formula is presented as SA=2πr(r+h). An example problem applying this formula is shown. Methods for finding the surface area of cones are also presented, with the formula given as the area of the base plus the lateral area. Several examples problems demonstrate applying the surface area formulas for cylinders and cones.
This document defines and provides examples of different geometric shapes and how to calculate their areas. It discusses circles, including calculating area using the radius. It also covers polygons like triangles, quadrilaterals, and regular polygons. Formulas are provided for calculating the areas of circles, triangles, parallelograms, trapezoids, and finding missing side lengths using the Pythagorean theorem. Examples of applying these formulas to solve for areas and side lengths are also included.
1. The document provides formulas and concepts related to geometry including triangles, quadrilaterals, circles, and other shapes.
2. It includes formulas for calculating the areas of various shapes such as rectangles, triangles, parallelograms, trapezoids, circles, and composite figures.
3. Several solved examples applying these formulas are given at the end to demonstrate calculations of lengths, widths, areas, and perimeters of different geometric shapes.
E2209310017_Mathematics_B.Ed II Year.pptssuser917ddb
This document discusses the formulas for calculating the area and perimeter of various shapes. It defines area as the space within a shape and perimeter as the distance around the shape. Formulas are provided for calculating the area and perimeter of squares, rectangles, parallelograms, triangles, and circles. An example calculation is shown for each shape. The key concepts are that area is measured in square units and perimeter is measured in the same units as the shape's sides.
3-D shapes have length, width, and height. A cube has 6 faces, 12 edges, and 8 vertices. The surface area of a cube can be found by calculating the area of each face, which is the length squared, and multiplying by 6 since there are 6 faces. The surface area of other 3-D shapes like cuboids and cylinders can be found by calculating the total area of all faces, such as using the formula for a cuboid of 2 times the length times width plus 2 times the height times width plus 2 times the length times height. The surface area of a cylinder is 2 times pi times the radius times the height plus 2 times pi times the radius squared.
Symmetry and Surface Area.pptxpptxpptxpptxJakeMamala
Symmetry and surface area are two distinct geometric concepts, but they are often considered in various contexts, such as geometry, mathematics, and even physics or engineering. Let's explore each concept:
### Symmetry:
**Symmetry** refers to a balanced and proportionate arrangement of parts or elements on either side of a dividing line or plane. In geometry, there are several types of symmetry:
1. **Line Symmetry (Reflection Symmetry):** A shape has line symmetry if one half of it is the mirror image of the other half when divided along a line. Common examples include squares, circles, and many letters of the alphabet.
2. **Rotational Symmetry:** A shape has rotational symmetry if it can be rotated about a point so that it looks exactly the same in multiple positions. For example, a circle has infinite rotational symmetry.
3. **Point Symmetry:** A shape has point symmetry if it looks the same when rotated 180 degrees about a central point. Not all shapes have point symmetry.
Symmetry is a fundamental concept in geometry and has applications in various fields, including art, design, and science.
### Surface Area:
**Surface Area** is the measure of the total area that covers the surface of a three-dimensional object. The formulas for calculating the surface area of common geometric shapes include:
1. **Cuboid or Rectangular Prism:**
\[SA = 2lw + 2lh + 2wh\]
2. **Cylinder:**
\[SA = 2\pi r^2 + 2\pi rh\]
3. **Sphere:**
\[SA = 4\pi r^2\]
4. **Cone:**
\[SA = \pi r^2 + \pi r \sqrt{r^2 + h^2}\]
5. **Pyramid:**
\[SA = \frac{1}{2}Pl + B\]
where \(P\) is the perimeter of the base, \(l\) is the slant height, and \(B\) is the base area.
Understanding surface area is crucial in various fields, especially in engineering, architecture, and physics, where it is essential for calculating materials needed for construction, heat transfer, and other physical properties.
In some cases, symmetry can simplify the calculation of surface area. For instance, symmetrical objects may have repeated patterns that can be leveraged to simplify the surface area calculation.
Both symmetry and surface area play important roles in geometry and have practical applications in real-world problem-solving.
The document summarizes formulas for calculating the volume and surface area of basic three-dimensional geometric shapes like prisms, pyramids, cylinders, and cones. It provides the general volume formulas for prisms and pyramids, which are used to calculate the volume of rectangular and circular prisms. The surface area formulas are also outlined, explaining that surface area is the total two-dimensional area on the outside of a three-dimensional figure, calculated by finding the area of each face and adding them together. Examples are worked through applying the formulas to specific shapes with given dimensions.
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.
Main Java[All of the Base Concepts}.docxadhitya5119
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
How to Add Chatter in the odoo 17 ERP ModuleCeline George
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
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.
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 ...।
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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.
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.
This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
17. Solution
(a) T. S. A. = Area of the 2 triangles +
Area of rectangle 1 + Area of rectangle 2
+ Area of rectangle 3
= 2 (½ x 6 x 8) + (6 x 5.5) + (10 x 5.5) + (8 x 5.5)
= (2 x 24) + 33 + 55 + 44
= 48 + 33 + 55 + 44
Therefore T. S. A. = 180cm²
(b) V = Base area x height = 24 x 5.5 V = 132cm³
6cm
8cm
5.5cm
10cm
A triangular prism has a base in form of a right-angled triangle, with sides 6cm, 8cm and
10cm. If the height of the prism is 5.5cm, sketch the prism and calculate,
(a) its total surface area,
(b) its volume.
Example