Question

Can a polyhedron have 10 faces,20 edges and 15 vertices?​

Answer 1

Answer:

No

Step-by-step explanation:

Because  F + V = E + 2 according to Eular's formula.

10+15-20=2

25-20=2

$25\neq 2$

Hope it helped

Answer 2

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We have:

Vertices - 15

Faces - 10

Edges - 20

Euler’s Formula = V + F -vE = 2

=> 15 + 10 - 20

=> 25 - 20 = 5

=> 5 ≠ 2

Hence, it is not possible to have a polyhedron with the above data.

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