A polyhedron has 25 faces and 36 edges. How many vertices does it have?

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02-03-2017
Mathematics

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A polyhedron has 25 faces and 36 edges. How many vertices does it have?

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DanJS DanJS · Answer 1 · 2017-03-02T05:15:39+01:00

DanJS DanJS

02-03-2017

You can use Euler's Polyherdron Formula as seen here;
https://plus.maths.org/content/eulers-polyhedron-formula

The number of vertices minus the number of edges plus the number of Faces will equal 2.

V - E + F = 2
V - 36 + 25 = 2
V = 13

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