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Optimal boxes. Imagine a lidless box with height h and a
Chapter 6, Problem 61e(choose chapter or problem)
Optimal boxes:. Imagine a lidless box with height and a square base whose sides have length . The box must have a volume of 125 ft3.
a. Find and graph the function that gives the surface area of the box for all values of .
b. Based on your graph in part (a), estimate the value of that produces the box with a minimum surface area.
Questions & Answers
QUESTION:
Optimal boxes:. Imagine a lidless box with height and a square base whose sides have length . The box must have a volume of 125 ft3.
a. Find and graph the function that gives the surface area of the box for all values of .
b. Based on your graph in part (a), estimate the value of that produces the box with a minimum surface area.
ANSWER:
Step 1 of 5
Given,
A lidless box with height and a square base whose sides have length .