Question

A polyhedron has 24 edges and 12 vertices. how many faces does it have?

Answer 1

According to Euler's formula, a polyhedron's vertices minus the number of edges plus the number of faces should equal 2.

V -E + F = 2

Therefore, the number of faces should equal 2 -vertices +number of edges.

So, a polyhedron with 24 edges and 12 vertices would have

2 -12 +24 faces or

14 faces

Explanation: