Question

If a polyhedron is having 12 faces and 20 vertices, then find the number of edges.

• A. 30
• B. 20
• C. 40
• D. 10

Answer 1

The correct option is A 30

As we know, Euler's Formula is
F + V = E + 2 (where F represent the number of faces, V represent the number of vertices and E represent the number of edges).
Given: Number of faces = 12
Number of vertices = 20
Let the number of edges = x
Using Euler's Formula, we get
F + V = E + 2
$⟹12+20=x+2$
$⟹x=32-2=30$
Number of edges = 30.