Question

In a polyhedron, if the number of vertices is $8$ and the number of edges is twice as the number of faces, then the number of faces and edges of the polyhedron respectively is?

Answer 1

Let the number of faces $F=x$
The number of edges $E=2x$
By Euler’s formula
$F+V=E+2$
$x+8=2x+2$
$x=6$
The number of faces $=6$ and the number of edges $=12$.