Question

If a prism has 8 vertices, 12 edges, then how many faces do it have?

Answer 1

Euler's polyhedron formula:

Number of vertices- number of edges+number of faces= 2
                V-E+F=2
Therefore,    8-12+F=2
                        -4+F=2
                             F= 2+4
                             F=6

Therefore the prism has 6 faces.