Aconvex polyhedron has (8a) faces, (6a + 6) vertices, and (15a) edges. what is the value of a?

euler’s formula: v + f = e + 2

a =

4

Step-by-step explanation:

Given: A convex polyhedron has (8a) faces, (6a + 6) vertices, and (15a) edges.

Euler’s formula:

, where V is number of vertices , F is number of faces and E is number of edges in a polygon.

Substituting the given values of V,E and F in the Euler's formula, we get

Subtract 14a and 2 on both the sides, we get