Question

Can I polyhedron have 12 faces a teenagers and 20 vertices give reason

Answer 1

Answer:

Possibility of this bring a polyhedron can be proved by Euler's formula, i.e

F+V-E=2

F=10 V=15 E=20

=10+15-20

=25-20

=5\ne2

Euler;s formula can't be proved.

Hence,a polyhedron can not have 10 faces,20 edges and 15 vertices.