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March 29, 2017

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If a polyhedron has 13 vertices and 21 faces, how many edges does it have? I can't figure this one out.

  • GEOMETRY - ,

    Use Euler's formula which says that
    V+F=E+2
    where
    V=vertices
    F=faces
    E=edges
    For example, a cube has 8 vertices, 6 faces and 12 edges, so
    8+6=12+2

  • GEOMETRY - ,

    ok thanks!!

  • GEOMETRY :) - ,

    You're welcome!

  • GEOMETRY - ,

    For a given polyhedron, there are 24 vertices and 32 faces. How many edges does the polyhedron have? [Hint: V + F = E + 2.]

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