If you were to fold all the boxes with different sizes of
squares removed, you will have a set of boxes like those in the picture
Are there differences among the volumes of these
Which box holds the largest volume?
you folded all 12 of the possible boxes, you would have a set like
those in the picture above. Now, which one has the largest
volume? Assume that the volume only reaches as high as the edges. That
is, a tall pile above the edges does not count.
Talk with the others in your group about these questions. Are
all the volumes the same? Why? Why not? How
would you go about determining the volume of the different boxes?