Euler's Formula states that the sum of the number of faces F and vertices V of a polyhedron is two more than the number of its edges, E.
F+ V= E+2
We are given that a polyhedron has 6 vertices and 8 faces, and want to find the number of edges. To do so, we will use Euler's formula. Let x be the number of edges. We will substitute the given information into the formula and solve for x.