You are given a rectangular shoot of cardboard that measures 11 in by 85 in (see the diagram below). A small square of the
same size is cut from each comer, 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
in 8,5 in.
11 in.