Question

A solid has $40$ faces $60$ edges how many vertices does it have.

Answer 1

To find vertices, we will use Euler's Formula.

Euler's formula: $F+V-E=2$

where, $F=$ Number of Faces, $V=$ Number of Vertices, $E=$ Number of edges

We have, $F=40$, $E=60$

$\therefore 40+V-60=2$

$\Rightarrow V=2+20=22.$

There will be $22$ vertices.