Question

If a polyhedron is having 8 faces and 6 vertices, then find the number of edges.

• A. 10
• B. 11
• C. 12
• D. 13

Answer 1

The correct option is C 12

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 faces = 8
Number of vertices = 6
Let the number of edges = x
Using Euler's Formula, we get
F + V = E + 2
$⟹$ 8 + 6 = x + 2
$⟹$ x = 14 - 2 = 12
Number of Edges = 12.