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March 29, 2017

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a polyhedron has 36 edges and 21 faces, how many vertices does it have?
thank you

  • math - ,

    You can use Euler's polyhedral formula:
    V+F-E = 2
    V=number of vertices
    F=number of faces
    E=number of edges

    Substitute
    E=36 and F=21 into the polyhedral formula and solve for V.

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