Optimization Problem: Finding Largest Possible Volume

starish

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Apr 21, 2022
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A box with a square base and open front side is given. If 486 in^2 of material is available to produce the box, find the largest possible volume of the box.
 
Hello. Where do you need help with this exercise? Please follow the forum guidelines, and share with the tutors how far you got.

If you're looking for lessons, then you may google keywords maximum volume open box. Otherwise, please explain why you're stuck. Thank you!

 
What are the dimensions of the open box? Hint: Since the base is a square, why not call its dimension x by x.
What is the dimension of the top?
What is the dimension of the left side? The right side?
How about the dimension of the back side?

I am sure that you know the answer to some of these! Post back with your answers.
 
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