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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
9 Nov 2021

Given information

A box with a square base and open top must have a volume of .

Step-by-step explanation

Step 1.

Let is the length of the sides on the square base and let be the height of the box.

Then the volume of the box is given by

 

Therefore,  

     

Now, the surface area of the box is

   

Putting the value of in equation   we get: 

 

   

In other words, our goal is to minimize the function

 

 

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