Question

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

Answer 1

Given:

`\begin{gathered} Faces,F=6 \\ Vertices,V=8 \\ Edges=E \end{gathered}`

Using the Euler's formula of polyhedron,

`\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}`

Therefore, the number of edges is 12.