HW 1 - Must be turned in at the beginning of class on 10/21 as we will go over these then.

1. Volume Decompositions

   Use this figure (a square pyramid inside a cube) and Geoblocks or models that you build to give a plausible explanation of why the volume of a square pyramid is one-third the height times the base.

   Can you find a similar decomposition relating a rectangular box and a rectangular pyramid? Explain.
   
   Can you find a similar decomposition relating a rectangular box and a triangular prism? Explain.
   
   
   
   
2. A ribbon that is wrapped around a box can be removed without cutting, stretching, or untying it (see below). Try to do so with an actual ribbon on a box. Then model this situation geometrically and explain why it works. It may be easier to explain first with a rectangle.
   
   
   
3. Read 6.7 and do (by hand) 6.7 numbers 5 and 6
   
   
4. Bring a baggy t-shirt to class that will fit over what you will wear.