A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides.
a. Suppose the paper is 7"-wide by 9"-long.
i. Estimate the maximum volume for this box? (Hint: Use your graphing calculator.)
cubic inches
Preview
ii. What cutout length produces the maximum volume?
inches
Preview
b. Suppose we instead create the box from a 11"-wide by 13"-long sheet of paper.
i. Estimate the maximum volume for this box? (Hint: Use your graphing calculator.)
cubic inches
Preview
ii. What cutout length produces the maximum volume?
inches
Preview