Is a square prism same as a cube? Explain

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.

No, a square prism does not have to necessarily be a cube, as a square prism has a square base but the height need not be of the same dimension. A cube is a three-dimensional solid shape that has equal length, breadth, and height. Hence, a square prism can also be a cuboid.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 10

Video Solution:

Is a square prism same as a cube? Explain

Maths NCERT Solutions Class 8 Chapter 10 Exercise 10.3 Question 5

Summary:

A square prism is not the same as a cube. It can be a cuboid as well since the height of a square prism need not be the same as the length and the breadth of the square face.

☛ Related Questions:

• Can a polyhedron have for its faces (i) 3 triangles? (ii) 4 triangles? (iii) a square and four triangles?
• Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid).
• Which are prisms among the following?(i) How are prisms and cylinders alike? (ii) How are pyramids and cones alike?
• (i) How are prisms and cylinders alike? (ii) How are pyramids and cones alike?