Question

7) Can a polyhedron have 10 faces, 20 edges and 15 verucas?
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Answer 1

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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\ne25

=2

Euler;s formula can't be proved.

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

Answer 2

Answer:

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Step-by-step explanation:

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\ne25

=2

Euler's formula can't be proved.

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