Question

If a polyhedron is having 8 faces and 18 edges, then find the number of vertices.

• 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 represent the number of faces, V represent the number of vertices and E represent the number of edges).
Given: Number of faces = 8
Number of edges = 18
Let the number of vertices = x
Using Euler's Formula, we get
F + V = E + 2
$⟹8+x=18+2$
$⟹x=20-8=12$
Number of vertices = 12.