Question

Euler's formula, V – E + F = 2 relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedron. How many faces does a polyhedron with 5 vertices and 8 edges have?

Answer 1

5 faces

Explanation:

V – E + F = 2

We know that V = 5 and E = 8

Substitute these into the equation

5 -8+F = 2

-3+F =2

Add 3 to each side

-3+F+3 = 2+3

F=5