Questions about Platonic Solids


    Directions:    Answer the following questions in the space provided.  Click on the send button to turn in your work.
 
  1.     The tetrahedron, octahedron, and icosohedron are the only regular polyhedrons with faces bounded by triangles.  How many faces are at the vertex of each of these solids?

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  3.     The hexahedron is the only regular polyhedron with aces bounded by squares, and the dodecahedron is the only regular polyhedron with faces bounded by pentagons.  How many faces are at each vertex of each solid?

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  5.     Show:  No regular polyhedron could have faces bounded by regular polygons with more than five sides. (Hint)

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