Question

Can someone help me find the answer to the following?

Answer 1

To solve this, we'll use Euler's Polyhedral formula.

This formula states that in any polyhedron, the number of vertices V, faces F, and edges E, satisfy:

`V+F-E=2`

If we solve for the edges E, we'll get:

`V+F-2=E`

Using the data given,

`\begin{gathered} V+F-2=E \\ \rightarrow6+8-2=E \\ \rightarrow12=E \end{gathered}`

We get that the polyhedron would have 12 edges