A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. Suppose the paper is 7"-wide by 9"-long: Estimate the maximum volume for this box? (Hint: Use your graphing calculator:) cubic inches What cutout length produces the maximum volume? inches Suppose we instead create the box from a 11"-wide by 13"-long sheet of paper: Estimate the maximum volume for this box? (Hint: Use your graphing calculator:) cubic inches What cutout length produces the maximum volume? inches
Added by James B.
Step 1
The volume of the box can be found by multiplying the length, width, and height of the box. Since we are cutting squares from the corners, the length and width of the box will be reduced by twice the length of the cutout. Let's call the length of the cutout "x". Show more…
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