Question

A regular polyhedron has 30 edges and 12 vertices. How many faces does it have?

Answer 1

The general formula to find the face of a polyhedron given the number of edges and vertices is as follows:

V - E + F = 2

V = Vertex
E = Edges
F = Faces

In this case, E = 30 and V = 12, therefore we insert those values into the formula and solve for F as follows:

12 - 30 + F = 2
12 + F = 32
F = 32 - 12
F = 20

Therefore, the polyhedron has 20 faces.

Answer 2

Thanks hero. What if I was only given 1 of the variables, is there a different formula for that?

Answer 3

That's a good question. If you only have one variable, good luck

Answer 4

Alright