Surface area and volume...
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This document provides formulas for calculating the surface area and volume of basic geometric shapes including cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. It lists the formulas for total surface area and lateral surface area where applicable. Similarly, it provides the formulas for calculating the volume of each shape. The shapes covered are among the most common for which surface area and volume are calculated in math, science, and engineering applications.
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Surface areas and volume
The document contains geometric formulas for calculating the surface areas and volumes of various 3D shapes including:
- Cuboids: Surface area is 2(lb + bh + hl) and volume is l x b x h
- Cubes: Surface area is 6a^2 and volume is a^3
- Cylinders: Curved surface area is 2πr(h+r), circular base area is πr^2, and volume is πr^2h
- Cones: Curved surface area of a sector is πrl, total surface area is πr^2 + πrl, and volume is 1/3πr^2h
surface area and volume ppt for class 10
The PowerPoint presentation covers the surface areas and volumes of various shapes including cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. For each shape, it provides the formulas to calculate total surface area, lateral surface area, and volume. Surface area formulas are given for cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. Volume formulas are also provided for each of these shapes.
Surface Area And Volume
1. The document defines and provides formulas for calculating the surface areas and volumes of various 3D shapes including cubes, cuboids, cylinders, cones, spheres, and hemispheres.
2. Surface area is the total area of a shape's faces and curved surfaces, while volume is the space inside a shape.
3. Formulas are provided for calculating the lateral surface area, total surface area, and volume of cubes, cuboids, cylinders, cones, spheres, and hemispheres.
Surface areas and volume
This document is a maths project that discusses different solid figures including their surface areas and volumes. It provides formulas and explanations for calculating the surface areas and volumes of cubes, cuboids, cylinders, cones, spheres, and hemispheres. For each solid figure, it defines the shape, provides relevant diagrams, and derives the formulas for their lateral surface areas, total surface areas, and volumes.
Surface area and volume
The document provides information on the volumes and surface areas of various 3D shapes including cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. For each shape, the key formulas for calculating volume and/or surface area are presented using variables like length, width, height, radius, diameter, and slant height. Diagrams are included to illustrate the geometric features used in the formulas.
surface area and volume class 10
1. The document provides formulas and examples for calculating surface areas and volumes of various 3D shapes including cubes, cuboids, cylinders, cones, and spheres.
2. Formulas given include lateral surface area, total surface area, and volume of cubes; lateral surface area, total surface area, and volume of cuboids; curved surface area, total surface area, and volume of cylinders; curved surface area, total surface area, and volume of cones; and surface area and volume of spheres.
3. Examples provided demonstrate using the formulas to calculate dimensions or quantities for various word problems involving the different 3D shapes.
Volume and Surface Areas
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Cubolid
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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
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Surface areas and volume
The document contains geometric formulas for calculating the surface areas and volumes of various 3D shapes including:
- Cuboids: Surface area is 2(lb + bh + hl) and volume is l x b x h
- Cubes: Surface area is 6a^2 and volume is a^3
- Cylinders: Curved surface area is 2πr(h+r), circular base area is πr^2, and volume is πr^2h
- Cones: Curved surface area of a sector is πrl, total surface area is πr^2 + πrl, and volume is 1/3πr^2h
surface area and volume ppt for class 10
The PowerPoint presentation covers the surface areas and volumes of various shapes including cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. For each shape, it provides the formulas to calculate total surface area, lateral surface area, and volume. Surface area formulas are given for cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. Volume formulas are also provided for each of these shapes.
Surface Area And Volume
1. The document defines and provides formulas for calculating the surface areas and volumes of various 3D shapes including cubes, cuboids, cylinders, cones, spheres, and hemispheres.
2. Surface area is the total area of a shape's faces and curved surfaces, while volume is the space inside a shape.
3. Formulas are provided for calculating the lateral surface area, total surface area, and volume of cubes, cuboids, cylinders, cones, spheres, and hemispheres.
Surface areas and volume
This document is a maths project that discusses different solid figures including their surface areas and volumes. It provides formulas and explanations for calculating the surface areas and volumes of cubes, cuboids, cylinders, cones, spheres, and hemispheres. For each solid figure, it defines the shape, provides relevant diagrams, and derives the formulas for their lateral surface areas, total surface areas, and volumes.
Surface area and volume
The document provides information on the volumes and surface areas of various 3D shapes including cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. For each shape, the key formulas for calculating volume and/or surface area are presented using variables like length, width, height, radius, diameter, and slant height. Diagrams are included to illustrate the geometric features used in the formulas.
surface area and volume class 10
1. The document provides formulas and examples for calculating surface areas and volumes of various 3D shapes including cubes, cuboids, cylinders, cones, and spheres.
2. Formulas given include lateral surface area, total surface area, and volume of cubes; lateral surface area, total surface area, and volume of cuboids; curved surface area, total surface area, and volume of cylinders; curved surface area, total surface area, and volume of cones; and surface area and volume of spheres.
3. Examples provided demonstrate using the formulas to calculate dimensions or quantities for various word problems involving the different 3D shapes.
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Cylinder
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This document discusses cones and provides formulas for calculating properties of cones. It defines a cone as a solid with a circular base and single vertex. Formulas are given for calculating the total surface area, lateral surface area, and volume of a cone. Examples of cones used in daily life include ice cream cones, birthday hats, firework packaging, machine parts, and pen ends.
surface area and volume ppt
1. The document defines various 3D shapes including cubes, cuboids, cylinders, cones, spheres, and hemispheres.
2. It provides the formulas to calculate the surface area and volume of each shape. For cubes, cuboids, cylinders and cones it gives the formulas for total surface area. For spheres and hemispheres it provides the formulas for total surface area, curved surface area, and volume.
3. The document was created collaboratively by several students, with each person responsible for explaining different shapes.
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The document defines and provides formulas for calculating surface areas and volumes of common 3D shapes including cuboids, cylinders, cones, spheres, and hemispheres. It states that a cuboid has six rectangular faces and formulas for its lateral, total surface area, and volume. It describes a cylinder as having a curved surface and two parallel circular bases, providing formulas for its curved surface area, total surface area, and volume. It defines a cone as tapering from a circular base to a vertex at a 90 degree angle and includes formulas for its curved surface area, total surface area, and volume. It says a sphere is made of points equidistant from its center and provides formulas for its surface area and volume. It describes a
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This document defines and provides information about common 3D shapes including cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. It describes their key properties such as the number of faces, edges, and vertices. It also provides formulas to calculate the surface area and volume of each shape.
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The document discusses different geometry concepts related to mensuration including cubes, cuboids, cylinders, cones, spheres and hemispheres. It defines key terms like total surface area, lateral surface area and volume. Formulas are provided to calculate surface areas and volumes of cubes, cuboids, cylinders, cones, spheres and hemispheres. Examples are given to illustrate concepts like hollow cylinders and spherical shells.
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This document discusses the formulas for calculating the surface areas and volumes of various 3D shapes. It covers cubes, cuboids, cylinders, cones, spheres, and hemispheres. For each shape, it provides the relevant formulas to calculate surface area (total and lateral) and volume based on attributes like length, width, height, radius, diameter, and slant height.
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The document provides formulas for calculating the surface area of various 3D geometric shapes like cubes, cuboids, spheres, cylinders, cones, and combinations of shapes. The key information summarized is:
1) Formulas are given for surface area of individual shapes like cubes (6a^2), cuboids (2(lb+lh+bh)), spheres (4πr^2), cylinders (2πrh+2πr^2), and cones (πr(l+2h)).
2) Formulas are also provided for combinations of shapes, for example when two cubes are joined to form a cuboid the surface area is 10a^2.
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The document defines and provides formulas for calculating surface areas and volumes of various 3D shapes including cuboids, cubes, cylinders, cones, spheres, and hemispheres. It states that a cuboid is a 3D shape with right angles and equal opposite faces. The surface area of a cuboid is 2(length x breadth + breadth x height + height x length). The volume of a cuboid is length x breadth x height.
Surface area and volume
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1) The document discusses the formulas for calculating the surface area and volume of cylinders, cones, and spheres.
2) The surface area of a cylinder is calculated as 2πrh + 2πr^2, the surface area of a cone is πr(l+r), and the surface area of a sphere is 4πr^2.
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The document contains four applications involving calculations of surface area and volume:
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This document discusses the formulas for calculating the surface areas and volumes of various 3D shapes. It covers cubes, cuboids, cylinders, cones, spheres, and hemispheres. For each shape, it provides the relevant formulas to calculate surface area (total and lateral) and volume based on attributes like length, width, height, radius, diameter, and slant height.
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The document provides formulas for calculating the surface area of various 3D geometric shapes like cubes, cuboids, spheres, cylinders, cones, and combinations of shapes. The key information summarized is:
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Surface area and volume
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1) The document discusses the formulas for calculating the surface area and volume of cylinders, cones, and spheres.
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Cylinders are 3D shapes with circular bases of radius r that are parallel to each other and separated by a height h. The surface area of a cylinder has three components: the area of the two circular bases, which is 2πr^2, the lateral surface area between the bases, which is 2πrh, and the total surface area, which is the sum of the other two areas, or 2πr(r+h).
Area and Volume
This document defines and provides formulas for calculating surface areas and volumes of various 3D shapes including cubes, cuboids, cylinders, cones, spheres, and hemispheres. It states that the total surface area of a cube is 6 times the area of one face, and the volume is the cube of the edge length. The total surface area of a cuboid is 2 times the sum of the area of the base and lateral faces, and the volume is length times breadth times height.
Mensuration and its applications
This document provides formulas and definitions for calculating measurements of various geometric shapes including triangles, squares, rectangles, parallelograms, trapezoids, circles, cuboids, cubes, cylinders, cones, spheres, and their applications. It includes formulas to calculate the perimeter, area, surface area, volume, and diagonals of these shapes. Some key applications mentioned are finding land area, paving area, fencing length, material volumes, wrapping/covering area, and painting costs.
Surface area and volume of cube, cuboid and cylinder
This document provides formulas for calculating the surface areas and volumes of rectangles, cuboids, cubes, cylinders, and circles. It states that the surface area of a cuboid is 2(lb + bh + hl) and its volume is LBH, where L is length, B is breadth, and H is height. The surface area of a cube is 6a2 and its volume is a3, where a is the length of an edge. The curved surface area of a cylinder is 2πrh and its total surface area is 2πr(r+h), where r is the radius and h is the height.
Basic formula
The document provides formulas for calculating the surface areas and volumes of basic 3D shapes including cubes, cuboids, cylinders, cones, spheres, hemispheres, and spherical shells. It lists the key measurements needed such as length, width, height, radius, and slant height. Formulas given include calculating the volume, total surface area, curved surface area, and diagonals or slant heights for each shape.
Formulae on mensuration
This document provides formulas for calculating the surface areas of various geometric solids and combinations of solids. It lists the formulas for cubes, cuboids, cylinders, cones, spheres, hemispheres, and several combinations such as a cylinder surmounted by a cone, a hemisphere attached to a cone, and a hollow cylinder surmounted by a hemisphere. For each shape, it explains the components needed to calculate the total surface area.
Glory twinkle
Presented by :
Anggun Nugraha Oktaviani
Deti Nur Karina
Fiona Salfadilla
Rifda Nadifah
Umroh Indah Lestari
Math ppt
Let there be a cuboid of length l, breadth b and height h.
(i) Total surface area of the cuboid = 2 (lb + bh + lh)
(ii) Lateral surface area of the cuboid = 2 (l + b) h
(iii) If the length of each edge of a cube is 1 unit, then the total surface area of the cube is 6 units squared and the lateral surface area is 4 units squared.
Volume and surface area
The document discusses the volume and surface area of different shapes. It defines volume as the space occupied by an object and surface area as the area of a face. It provides the formulas for calculating the volume of a cylinder as πr^2h, a cone as 1/3πr^2h, and a sphere as 4/3πr^3. Examples are given of applying the formulas to find the volume of each shape using given radius and height values.
mensuration class 9.ppt
This document provides information about common plane and 3D figures including their names, formulas for calculating area, perimeter/surface area, and volume. For plane figures it covers square, rectangle, trapezium, circle, and parallelogram. For 3D figures it covers cube, cuboid, cylinder, sphere, and cone. It lists the key formulas for calculating measurements of each shape.
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Surface area and volume...
- 2. CONTENTS Cube Cuboid cylinder Cone Sphere Hemisphere frustum
- 4. SURFACE AREA OF CUBE Total surface area of cube- 6(side)² Lateral surface area of cube-4(side)²
- 5. VOLUME OF CUBE Volume of cube- (side)³
- 7. SURFACE AREA OF CUBOID Total Surface Area Of cuboid = 2(lb+bh +lh) Lateral Surface of Cuboid: 2(l+b)h
- 8. VOLUME OF CUBOID volume of cuboid – l*b*h
- 10. SURFACE AREA OF CYLINDER Curved surface area: 2Пrh Total surface area: Пrh +2Пr2 =2Пr(h+r)
- 11. VOLUME OF CYLINDER… Volume of a cylinder: Пr2h
- 13. SURFACE AREA OF CONE… Total surface area of cone- ∏r(l+r) Lateral surface area of cone- ∏rl
- 14. VOLUME OF CONE…. Volume of cone-1/3 Пr²h
- 16. SURFACE AREA OF SPHERE… Surface area of a sphere: 4Пr2
- 17. VOLUME OF SPHERE
- 19. SURFACE AREA OF HEMISPHERE… Total surface area of a hemisphere: 3Пr 2 Curved surface area of a hemisphere: 2Пr 2
- 20. VOLUME OF HEMISPHERE… Volume of A cube: 2/3 Пr 3
- 22. SURFACE AREA OF FRUSTUM… Total Surface Area Of A Frustum: П(r+R)l + Пr 2 + ПR 2 =П(r+R)l + П(r 2+ R2) Curved Surface Area Of A Frustum: П(r+R)l
- 23. VOLUME OF FRUSTUM.. Volume Of A Frustum: 1/3 Пh(r 2+R 2+Rr)
- 24. Thank you…