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29-07-2017
Mathematics

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If a convex polyhedron has 18 edges and 12 vertices, then how many faces does it have?

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koziadam koziadam

29-07-2017

Use Euler's characteristic.

V - E + F = 2

Now substitute and solve for F.

V - E + F = 2
12 - 18 + F = 2
-6 + F = 2
F = 8

Therefore the polyhedron has 8 faces.

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