Question

For a polyhedron having 5 faces and 3 vertices, find the number of edges.

• A. 6
• B. 4
• C. 3
• D. cannot be determined

Answer 1

The correct option is A

6

For any polyhedron,

F + V - E = 2

where F stands for number of faces, V stands for number of vertices and E stands for number of edges.

This relationship is called Euler's formula.

So, for F = 5, V = 3 we get E = 6.