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Posted by on Thursday, February 10, 2011 at 10:55am.

Use Euler’s formula to answer the question.

A polyhedron has 12 edges and 6 faces, how many vertices does it have?

  • Math-Geomety - , Thursday, February 10, 2011 at 11:40am

    Euler's formula state that for a polyhedrons,
    V+F=E+2
    V=number of vertices
    E=number of edges
    F=number of faces

    Take a tetrahedron, which has
    6 edges, 4 vertices and 4 faces
    4+4=6+2

    For the given polyhedron,
    E=12
    F=6
    So solve for V in
    F+V=E+2

    Post your answer for a check if you wish.

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