Question

Question 76

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

Answer 1

By using Euler's formula for polyhedron
F + V - E = 2
Given, faces (F) = 40, edges (E) = 60.
$\Rightarrow$ 40 + V - 60 = 2
$\Rightarrow$ V - 20 = 2
$\Rightarrow$ V = 2 + 20 = 22
Hence, the vertices of the solid are 22.