NCERT Class 8 Mathematics Solutions: Chapter 10 – Visualising Solid Shapes Exercise 10.3 Part 2

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Faces, Edges and vertices are given

Faces, Edges and Vertices Are Given

Question 4:

(i) How are prisms and cylinders alike?

(ii) How are pyramids and cones alike?

Answer:

(i) A cylinder can be thought of as a circular prism, i.e. a prism that has a circle as its base.

(ii) A cone can be thought of as a circular pyramid i.e. a pyramid that has a circle as its base.

Question 5:

Is a square prism same as a cube? Explain.

Answer:

A square prism has a square as its base. However, its height is not necessarily same as the side of square. Thus, a square prism can also be cuboid.

Question 6:

Verity Euler’s formula for these solids.

Formula for these Solids

Formula for These Solids

Answer:

(i) Figure contains 7 faces, 10 vertices and 15 edges.

Using Euler’s formula, we see

Putting

(ii) Figure contains 9 faces, 9 vertices and 16 edges.

Using Euler’s formula, we see .