Optimal boxes. Imagine a lidless box with height h and a

Chapter 6, Problem 61e

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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.

                                                     

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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  .

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