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Homework Help: QUICK QUESTION: Minimizing Restrictions

  1. Apr 7, 2008 #1
    1. The problem statement, all variables and given/known data

    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. Relevant equations

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

    3. The attempt at a solution


    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: Apr 7, 2008
  2. jcsd
  3. Apr 8, 2008 #2
    "must have a volume of 10,000cm^3" Sounds like a restriction to me.
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