Question

Find the number of faces of a polyhedron having 12 edges and 6 vertices.

• A. 7
• B. 8
• C. 9
• D. 10

Answer 1

The correct option is B 8

As we know, Euler's Formula is
F + V = E + 2 (where F represents the number of faces, V represents the number of vertices and E represents the number of edges).
Given: Number of edges = 12
Number of vertices = 6
Let the number of faces = x
Using Euler's Formula, we get
F + V = E + 2
$⟹x+6=12+2$
$⟹x=14-6=8$
Number of faces = 8