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0 votes
1.3k views
in Mathematics by (106k points)

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

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1 Answer

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by (20.4k points)

If F = 10, V = 15 and E = 20.
Then, we know Using Euler’s formula, F + V – E = 2
L.H.S. = F + V – E
= 10 + 15 – 20
= 25 – 20
= 5
R.H.S. = 2
L.H.S. R.H.S.
Therefore, it does not follow Euler’s formula.

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