Question

If a convex polyhedron has 6 vertices and 8 faces then it has _____ edges?

Answer 1

You could use Euler's polyhedron formula:


`V-E+F=2`

where V - numbers of vertices, E - numbers of edges and F - numbers of faces. In this case we have V = 6 and F = 8 so:


`V-E+F=2\\\\6-E+8=2\\\\E=6+8-2\\\\\boxed{E=12}`

Polyhedron has 12 edges.