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Geometry

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Show that Euler's formula holds for a right pentagonal prism.

  • Geometry -

    His formula for polyhedra is
    Vertices - Edges + Faces = 2

    Sketch two congruent pentagons, one above the other.
    Join corresponding vertices, perhaps with dotted lines for the lines that are hidden.
    You should have a nice drawing of your solid.

    Number of vertices = 10
    number of edges = 15
    number of faces = 7

    is 10 - 15 + 7 = 2 ??

    YES!!!!

  • Geometry -

    Thank you!

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