Question

Using Eulers formula, how many edges does a polyhedron with 9 faces and 14 vertices have?

Answer 1

By Euler's Formula

F + V = E + 2

Solution

• F = 9

• V = 14

• E = ?

Substuting the values

⇨ 9 + 14 = E + 2

⇨ 23 = E + 2

⇨ 23 - 2 = E

⇨ 21 = E

Hence , the number of edges in polyhedron is 21.