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

1.

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

Answer»

No. of faces = 10

No. of edges = 20

No. of vertices = 15

According to Euler’s formula E = V + F – 2

⇒ 20 = 15 + 10 – 2

20 = 25 – 2

20 = 23 (False)

∴ A polyhedra doesn’t exist with 10 faces, 20 edges, 15 vertices.

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