Question

9. Can a polyhedron have 1 face, 20 edges and 15 vertices?
- v​

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

$5 = 2$

Euler;s formula can't be proved.

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