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26 February, 11:08

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

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  1. 26 February, 12:33
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    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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