Question

A polyhedron has 30 edges and 20 vertices . how many faces does this polyhedron have?

Answer 1

We can solve it easily by Euler's formula.

Euler's formula:
V - E + F = 2
Here E= 30
V = 20


So we get
20-30+F=2
So, F = 12


Therefore no of faces= 12

Answer 2

The the faces of polyhedron will be 12.

Step-by-step explanation:

As given in question that a polyhedron has 30 edges and 20 vertices.

We have to find the faces of polyhedron.

We know that,

By Euler's formula:

F + V - E = 2       Where, F is faces of polyhedron.

                                      V is vertices of polyhedron.

                                       E is the edges of polyhedron.

F + 20 - 30 = 2

F - 10 = 2

F = 2 + 10

∴ F = 12

Thus the the faces of polyhedron will be 12.