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Polynomial Word Problem

  1. Sep 22, 2014 #1
    1. The problem statement, all variables and given/known data
    A package sent by a courier has the shape of a square prism. The sum of the length of the prism and the perimeter of its base is 100cm. Write a polynomial function to represent the volume V of the package in terms of x.
    width and height are in x centimeters, length is in y centimeters

    3. The attempt at a solution

    4x+y=100
    4x+y-100
    V(x)=(x^2)(y)(4x+y-100)
    V(x)=(4x^3y + x^2y^2 - 100x^2y)
    V(x)=x^2y(4x+y-100)

    This is as far as I got, am I going in the right direction? Where did I go wrong?
     
  2. jcsd
  3. Sep 22, 2014 #2

    Mark44

    Staff: Mentor

    From your first equation above, solve for y to get the length of the prism in terms of x.

    Your formula for volume is incorrect, I believe, but I don't know how the problem is defining the term "prism." Is it just a rectangular box? If so, the volume is length x width x height. The volume shouldn't also include the perimeter.
     
  4. Sep 22, 2014 #3
    Thank you very much, I was able to solve the question. And yes, it was just a rectangular box.
     
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