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

1.

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

Answer»

Since, F + V = E + 2

As 10 + 15 ≠ 20 + 2

∴ A polyhedron cannot have 10 faces, 20 edges and 15 vertices.

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