NCERT Solutions for Class 8 Maths Chapter 10 Exercise 10.2

NCERT Solutions for Class 8 Maths Chapter 10 Exercise 10.2 (Ex. 10.2) Visualising Solid Shapes in Hindi and English Medium updated for CBSE Session 2021-2022 free. All the questions of class 8 Maths chapter 10 are done step by step easy to understand.

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Class 8 Maths Chapter 10 Exercise 10.2 Solution

Class: 8 Mathematics
Chapter: 10Visualising Solid Shapes
Exercise: 10.2PDF and Videos Solutions

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Class 8 Maths Chapter 10 Exercise 10.2 Solution in Videos

Class 8 Maths Chapter 10 Exercise 10.2 Solution
Class 8 Maths Chapter 10 Exercise 10.2 Explanation

Cube:

A cuboid whose length, breadth and height are equal is called a cube. Dice, sugar cubes, ice cubes, etc., are all examples of a cube. In the adjoining figure, ABCDEFGH is a cube.

(i) Faced of a cuboid:

A cuboid has 6 faces. The 6 faces of the cuboid are: ABCD, EFGH, ADHE, BCGF, ABFE and DCGH.

(ii) Vertices of a cuboid:

A cuboid has 8 vertices. The 8 vertices of the cuboid are: A, B, C, D, E, F, G, H.

(iii) Edges of a cuboid:

A cuboid has 12 edges. The 12 edges of the cuboid are: AB, BC, CD, DA, EF, FG, GH, HE, AE, DH, BF, CG.
Note: Here, we shall talk about right prism and regular pyramid.

PRISM:

A solid whose two faces are parallel plane polygons and the side faces are rectangles is called a prism.



Triangular prism:

A triangular prism is made up of two parallel end-faces each one of which is a triangle and three lateral faces each one of which is a rectangle. For example: ABCDEF is a triangular prism.

(i) Faces of a Triangular prism:

A triangular prism has 2 triangular faces and 3 rectangular faces.
2 triangular faces are ABC and DEF. 3 rectangular faces are ABCD, ADFC and CBEF.

(ii) Vertices of a Triangular Prism:

A triangular Prism has 6 vertices. The 6 vertices of the triangular prism are A, B, C, D, E, F.

(iii) Edges of a Triangular Prism:

A triangular prism has 9 edges. The 9 edges of the triangular prism are: AB, BC, CA, DE, EF, FD, AD, BE, CF.

Note: A cuboid is also called a rectangular prism.

Square Prism:

A prism is called a square prism, if it has two identical square faces and four rectangular faces. It has 8 vertices and 12 edges.

PYRAMID:

A pyramid is a solid whose base is a plane rectilinear figure and whose side faces are triangles having a common vertex, called the vertex of the pyramid.



(a) Square Pyramid

Square Pyramid It is a solid whose base is a square and whose side faces are triangles having a common vertex. In the adjoining figure, OABCD is a square pyramid with its vertex at O.

(i) Vertices of a square pyramid:

A square pyramid has 5 vertices. OABCD is a square pyramid having O, A, B, C, D as its vertices.

(ii) Faces of a square pyramid:

A square pyramid has 5 faces one of which is a square face and the rest four are triangular faces. OABCD is a square pyramid having ABCD as its square face and OAD, OCD, OBC and OAB as its triangular faces.

(iii) Edges of a square pyramid:

A square pyramid has 8 edges. The square pyramid OABCD has 8 edges, namely, AB, BC, CD, DA, OA, OB, OC AND OD.

(b) Rectangular Pyramid

It is a solid whose base is a rectangle and whose side faces are triangles having a common vertex. OABCD is a rectangular pyramid.
(i) It has 5 vertices, namely O, A, B, C, D.
(ii) It has 1 rectangular face, namely ABCD, and 4 triangular faces, namely OAD, ODC, OAB, OBC.
(iii) It has 8 edges, namely AB, BC, CD, DA, OA, OB, OC, OD.

(c) Triangular Pyramid (Tetrahedron)

It is a solid whose base is a rectangle and whose side faces are triangles having a common vertex. In the adjoining figure. OABC is a triangular pyramid. (i) It has 4 vertices, namely O, A, B, C. (ii) It has 4 triangular namely ABC, OAB, OAC and OBC. (iii) It has 6 edges, namely OA, OB, OC, AB, AC, BC.

What are 3 things pyramids and prisms have in common?

Similarities: Common Features
Prisms and pyramids are three-dimensional solid shapes that contain sides and faces that are polygons — two-dimensional shapes with straight sides. Both shapes fall under the large category — polyhedrons — because the sides and bases are polygons.

Why is a cube a prism and not a pyramid?

In math, a prism is a polyhedron made up of parallel top and bottom bases and rectangular side faces. Pyramids have one base and triangular side faces, which meet at a central vertex point. A dice or cube is an example of a prism.

How many sides does a pyramid prism have?

A triangular prism has 5 sides all together.

What do all pyramids have in common?

All pyramids are named upon the shape of their base, which is always a polygon (such as a square, triangle, rectangle, pentagon, etc.) Though pyramids may have different bases, they have one thing in common: all of the lateral faces of pyramids are “triangular” in shape.

Is Cube a prism?

A cube is still a prism. A cube is just a special case of a square prism, and. A square prism is just a special case of a rectangular prism, and. They are all cuboids!

NCERT Solutions for Class 8 Maths Chapter 10 Exercise 10.2 in pdf
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