A polyhedron has 60 edges and 40 vertices. Find the number of its faces.

Solution:

Given, E = 60

V = 40

We have to find the number of faces of the given polyhedron.

Euler’s formula for any polyhedron is given by

F + V – E = 2

Where F stands for number of faces,

V for number of vertices

E for number of edges.

Now, F + 40 - 60 = 2

F - 20 = 2

F = 20 + 2

F = 22

Therefore, the number of faces is 22.

✦ Try This: A polyhedron has 50 edges and 30 vertices. Find the number of its faces.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 10

NCERT Exemplar Class 8 Maths Chapter 6 Problem 73

A polyhedron has 60 edges and 40 vertices. Find the number of its faces.

Summary:

A polyhedron has 60 edges and 40 vertices. The number of its faces are 22.

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