Question

If a polyhedron is having 5 faces and 6 vertices, then find the number of edges.

• A. 7
• B. 8
• C. 9
• D. 10

Answer 1

The correct option is C 9

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 = 5
Number of vertices = 6
Let the number of edges = x
Using Euler's Formula, we get
F + V = E + 2
$⟹5+6=x+2$
$⟹x=11-2=9$
Number of edges = 9.