Question

Find the number of edges of the polyhedron having 7 faces and 10 vertices.

• A. 14
• B. 15
• C. 13
• D. 11

Answer 1

The correct option is B 15

By the Euler's relation for polyhedron, we know that
Number of faces + Number of vertices = Number of edges + 2
or F + V = E + 2
Given: Number of faces = 7
Number of vertices = 10
Let the number of edges = x
Now substituting these values in the Euler's relation,
$F+V=E+2$
$\Rightarrow 7+10=x+2$
$\Rightarrow x=7+10-2$
$\Rightarrow x=15.$