(i) How are prisms and cylinders alike?
(ii) How are pyramids and cones alike?

Solution:

A prism is a polyhedron whose base and top are congruent polygons and whose other faces, i.e., lateral faces are flat in shape. A pyramid is a polyhedron whose base is a polygon (of any number of sides) and whose lateral faces are triangles with a common vertex.

(i) A prism and a cylinder are alike because it can be considered as a circular prism having a curved face. Thus the opposite faces are congruent and parallel.

(ii) A pyramid and a cone are alike because it can be considered as a circular pyramid having a vertex at the top with a lateral curved face.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 10

Video Solution:

(i) How are prisms and cylinders alike? (ii) How are pyramids and cones alike?

Maths NCERT Solutions Class 8 Chapter 10 Exercise 10.3 Question 4

Summary:

(i) A prism and a cylinder are alike because it can be considered as a circular prism having a curved face. (ii) A pyramid and a cone are alike because it can be considered as a circular pyramid having a vertex at the top with a lateral curved face.

☛ Related Questions:

• Is a square prism same as a cube? Explain.
• Verify Euler’s formula for these solids.
• Using Euler’s formula find the unknown.
• Can a polyhedron have 10 faces, 20 edges and 15 vertices?