Question

can a polyhedron have 10 faces 20 edges and 15 vertices ​

Answer 1

Answer:

We have to use euler ' s formula here to verify it which is

F+V=E+2

10+15=20+2

25 is not equal to 22

Hence verified

That a polyhedron cannot have 10 faces 20 edges 15 verticies

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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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