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 2022-2023 free. All the questions of class 8 Maths chapter 10 are done step by step easy to understand. Videos also helps to understand the questions of exercise 10.2 of class 8th mathematics. These solutions are useful not only for CBSE board but the state board also.
Class 8 Maths Chapter 10 Exercise 10.2 Solution
|Chapter: 10||Visualising Solid Shapes|
|Exercise: 10.2||PDF and Videos Solutions|
CBSE NCERT Class 8 Maths Chapter 10 Exercise 10.2 Solution in Hindi and English Medium
Class 8 Maths Chapter 10 Exercise 10.2 Solution in Videos
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.
A solid whose two faces are parallel plane polygons and the side faces are rectangles is called a 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.
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.
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!