Question

In a solid if F = V = 5, then find the number of edges of the solid.

• A. 7
• B. 6
• C. 8
• D. 5

Answer 1

The correct option is C 8

By the Euler's Relation, we know that
F + V = E + 2.
Given F = 5 , V = 5
Let the number of edges be x.
Substituting these values in the Euler's Relation,
$\Rightarrow$ 5 + 5 = x + 2
$\Rightarrow$ 10 - 2 = x
$\Rightarrow$ x = 8
Hence, number of edges = 8.