Alyvia Molina

Mathematics

22 August, 23:55

Prompt

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 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 formulia 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 8,5 in.

Short Writing on how to solve this problem