Question

Question 8

In a solid if F = V = 5, then the number of edges in this shape is
(a) 6
(b) 4
(c) 8
(d) 2

Answer 1

Let F = faces, V= vertices and E = edges.
Then, Euler's formula for any polyhedron is
F + V - E = 2
Given, F = V = 5
On putting the values of F and V in the Euler's formula, we get
5 + 5 - E = 2
$\Rightarrow$ 10 - E = 2 $\Rightarrow$ E = 8