Question

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

Answer 1

For any polyhedron, 

F + V – E = 2 

Here, F = 40, V = ?, E = 60 

Using above formula, 

40 + V - 60 = 2

V - 20 = 2

V = 2 + 20 = 22

Hence, the vertices of the solid are 22.