Question

If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______.

Answer 1

If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is 30.

Explanation:

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

Given, faces, F = 12, vertices, V = 20

Now, on putting the value of F and V in the Euler’s formula, we get

12 + 20 – E = 2

⇒ 32 – E = 2

⇒ 32 – 2 = E

⇒ E = 30

Hence, the number of edges = 30