Using Euler's Formula, given Edges = 12, Vertices = 8, how many Faces?

A. 10

B. 8

C. 6

D. 4

The short answer is c

C

Step-by-step explanation:

Euler's formula for polyhedra states that

F + V - E = 2 (F is faces, V vertices and E edges), thus

F + 8 - 12 = 2, that is

F - 4 = 2 (add 4 to both sides)

F = 6

The number of faces is 6