Question

Use Euler’s Formula to find the number of vertices in a polyhedron with 6 square faces and 12 edges.

A. 6
B. 8
C. 10
D. 12

Answer 1

B

Explanation:

Euler's formula for polyhedra states that

F + V - E = 2

(F is faces, V is vertices and E is edges )

Here F = 6 and E = 12, thus

6 + V - 12 = 2, that is

V - 6 = 2 ( add 6 to both sides )

V = 8 → B