This worksheet is designed to replace a lecture on finding the maximum volume of an open-top rectangular box. It includes a 1 cm X 1 cm grid so that each group can create one box, and we can compare the volumes of each box. Once students see a very short, flat box, compared to a very tall, narrow box, they quickly see that the optimal boxes are somewhere in between.
Make sure you run off the two pages separately, so the worksheet and the grid are separate.
The rest of the worksheet "holds th