 Glasses not required!.  A polyhedron is a 3-dimensional, closed object whose surface is made up of polygons.  Common examples: cubes and pyramids.

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Presentation transcript:

 Glasses not required!

 A polyhedron is a 3-dimensional, closed object whose surface is made up of polygons.  Common examples: cubes and pyramids

 Faces – the polygons on the outside of the polyhedron.  Edges – the lines that touch polygons to each other.  Vertices – the “corners” that connect edges to other edges

 32 faces (20 hexagons, 12 pentagons)  60 vertices (each connected to 2 hexagons and one pentagon)  90 edges

 Count the number of faces, edges, and vertices on each of the following polyhedra:  Cube  Triangular pyramid  Square pyramid

 Try and come up with a formula that relates the numbers of edges, faces, and vertices of a certain polyhedron, and see if it works for EVERY polyhedron.  Something maybe like: E + F = ????