A solid has forty faces and, sixty edges. Find the number of vertices of the solid.

Solution:

Given, F = 40

E = 60

We have to find the number of vertices 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, 40 + V - 60 = 2

V - 20 = 2

V = 20 + 2

V = 22

Therefore, the number of vertices is 22.

✦ Try This: A solid has forty five faces and sixty eight edges. Find the number of vertices of the solid.

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

NCERT Exemplar Class 8 Maths Chapter 6 Problem 76

A solid has forty faces and, sixty edges. Find the number of vertices of the solid.

Summary:

A solid has forty faces and, sixty edges. The number of vertices of the solid are 22.

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