Question

If a 3D solid has 8 faces and 8 vertices, find the number of edges in it.

Answer 1

Faces (F) = 8, Vertices (V) = 8
Using Euler’s formula, $F+V–E=2$
$8+8–E=2$
$16-E=2$
$E=16-2$
$\Rightarrow E=14$
Therefore, there are $14$ edges in a polyhedron.