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
Solution:
(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