For the polygon use Euler’s formula to find the missing number?

Solution:
Given:
[tex]\begin{gathered} Faces,F=6 \\ Vertices,V=8 \\ Edges=E \end{gathered}[/tex]Using the Euler's formula of polyhedron,
[tex]\begin{gathered} V-E+F=2 \\ \\ Substitute\text{ the given values;} \\ 8-E+6=2 \\ \\ Collect\text{ the like terms;} \\ 8+6-2=E \\ 12=E \\ E=12 \end{gathered}[/tex]Therefore, the number of edges is 12.