Prollipt
You are given a rectangular sheet of cardboard that measures 11 in. by 8.5 in. (see the diagram below). A small square of the
same size is cut from each corner, and each side folded up along the cuts to from a box with no lid.
1. Anya thinks the cut should be 1.5 inches to create the greatest volume, while Terrence thinks it should be 3 inches
• Explain how both students can determine the formula for the volume of the box.
• Determine which student's suggestion would create the larger volume.
• Explain how there can be two different volumes when each student starts with the same size cardboard.
2. Why is the value of x limited to 0 in. <x< 4.25 in. ?
8.5 in.
11 in.
.