Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid)

Solution:

A polyhedron is a three-dimensional solid made up of polygons. It has flat faces, straight edges, and vertices. The edges of a polyhedron meet at the vertices which are points. A polyhedron must have at least 4 faces. 

Yes. It is possible to have a polyhedron only when the number of faces is 4 or more than 4. The least number of faces in a polyhedron is 4. We cannot have a polyhedron with a number of faces to be less than 4.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 10

Video Solution:

Is it possible to have a polyhedron with any given number of faces?

Maths NCERT Solutions Class 8 Chapter 10 Exercise 10.3 Question 2

Summary:

Yes. It is possible to have a polyhedron only when the number of faces is 4 or more than 4

☛ Related Questions:

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• Verify Euler’s formula for these solids.
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• Can a polyhedron have 10 faces, 20 edges and 15 vertices?