Question

Question 75

A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.

Answer 1

By using Euler's formula for polyhedron,
F + V - E = 2 [where, F = faces, V = vertices, E = edges]
Given, faces (F) = 20, vertices (V) = 12
$\Rightarrow$ 20 + 12 - E = 2
$\Rightarrow$ 32 - E = 2
$\Rightarrow$ E = 32 - 2
$\Rightarrow$ E = 30
Hence, the edges of the polyhedron are 30.