Question

Using Euler's formula find the number of faces of polyhedron having 6 vertices and 12 edges.

Answer 1

Solution: Given: V=6, E=12, F=?
Euler's formula is :V−E+F=2
plugging given values, we get
$6-12+F=2$
$\Rightarrow -6+F=2$
$\Rightarrow F=2+6$
$\therefore F=8$
So, number of faces=8.