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

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Here, F = 10, E = 20 and V = 15

We have;

F + V - E = 10 + 15 - 20

= 25 - 20 = 5

Hence, F + V - E 2

Thus, such a polyhedron is not possible.

Answered by  | 4th Jun, 2014, 03:23: PM

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