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Minumum surface for a given volume

  1. Jan 11, 2010 #1
    1. The problem statement, all variables and given/known data
    An open tank is constructed with a square base and vertical sides to hold 32 cubic metres of water. Find the dimensions of the tank if the area of sheet metal used to make it is to have a minimum value

    2. Relevant equations

    3. The attempt at a solution
    i just know i need to find the second derivatives of it, but dont know the purpose of it
  2. jcsd
  3. Jan 11, 2010 #2


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    Homework Helper

    Re: Differentiation

    If the base has dimension x and the height is h, what is the volume of the tank? What is the area of the tank, A , equal to in terms of x and h?
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