- A Box Is Formed By Cutting Squares From The Four Corners Of A Sheet Of Paper And Folding Up The Sides A Suppose The Pa 1 (62.85 KiB) Viewed 30 times
A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. a. Suppose the pa
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A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. a. Suppose the pa
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 11"-wide by 13"-long. Let e represent the length of the side of the square cutout (in inches), and let V represent the volume of the box (in cubic inches). i. Write a formula that expresses V in terms of r. V= ii. If the cutout length increases from 0.4 to 2.3 inches, how much does the volume of the box change by? cubic inches Preview 111. Estimate the maximum volume for this box? Tip: Use a graphing tool like www.Desmos.com cubic inches Preview iv. What cutout length produces the maximum volume? inches Preview а b. Suppose we instead create the box from a 5"-wide by 7"-long sheet of paper. i. Estimate the maximum volume for this box? Tip: Use a graphing tool like www.Desmos.com a Preview cubic inches Preview ii. What cutout length produces the maximum volume? Preview inches Preview
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