Question

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

Answer 1

Answer:

No.It can't have 10 faces , 20 edges, and 15 vertices as The formula i.e. Euler's formula isn't being satisfied. ... Therefore,A polyhedron cannot have 10 faces , 20 edges, and 15 vertices.

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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