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QUICK QUESTION: Minimizing Restrictions

  • Thread starter banfill_89
  • Start date
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1. Homework Statement

Question: a box with a square base and no top must have a volume of 10,000cm^3. if the smallest dimensions in any direction is 5cm, the determine the dimensions of the box that minimize the amount of material used.

2. Homework Equations

V=x^2&y
SA=x^2+4xy
(isolate for y using given volume in V equation to obtain y=10,000/x^2)


3. The Attempt at a Solution

SA=x^2+4x(10,000/x^2)

when solved....x=27.1
y= 13.6


I have an answer on what the dimensions are, but what do i use as my limitations besides what my x values are. I know i have to use x>or=5....for some reason i can never figure these limitations/restrictions out...
 
Last edited:

Answers and Replies

334
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"must have a volume of 10,000cm^3" Sounds like a restriction to me.
 

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