SOLUTION: write an equation using f for the number of faces, e for the number of edges and v for the number of vertices. What is the relationship of the number of edges and the number of

Algebra ->  Equations -> SOLUTION: write an equation using f for the number of faces, e for the number of edges and v for the number of vertices. What is the relationship of the number of edges and the number of       Log On


   



Question 402316: write an equation using f for the number of faces, e for the number of edges and v for the number of vertices.
What is the relationship of the number of edges and the number of vertices in a cube?

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
There is a formula named after Euler that says that F + V - E = 2, for any polyhedron. A cube has six faces, eight vertices, and twelve edges, and satisfies, since 6 + 8 - 12 = 2. An interesting fact is that Euler's formula can be applied to higher dimensions, including 4-, 5-, ... dimensional manifolds.