Answer: 18 edges
Step-by-step explanation:
Euler's formula states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) are related by the equation:
V - E + F = 2
Given that the polyhedron has 8 faces (F = 8) and 12 vertices (V = 12), we can rearrange Euler's formula to solve for the number of edges (E):
E = V + F - 2
Substituting the given values:
E = 12 + 8 - 2
E = 18
So, the polyhedron with 8 faces and 12 vertices has 18 edges.
