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:
[tex]V+F-E=2[/tex]
If we solve for the edges E, we'll get:
[tex]V+F-2=E[/tex]
Using the data given,
[tex]\begin{gathered} V+F-2=E \\ \rightarrow6+8-2=E \\ \rightarrow12=E \end{gathered}[/tex]
We get that the polyhedron would have 12 edges
