Question

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

(c) 8

We have,

Euler’s formula for any polyhedron is, F + V – E = 2

Given, F = V = 5

Where, face (F) = 5, Vertex (V) = 5, Edge (E) =?

Then,

5 + 5 – E = 2

10 – E = 2

10 – 2 = E

Edges (E) = 8