1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Maximazi volume of the box

  1. Aug 6, 2010 #1
    1. The problem statement, all variables and given/known data

    A box with a square base is to have an open top. The area of the material in the box is 60 sr in. What are the dimensions when the volume is maximized?

    2. Relevant equations



    3. The attempt at a solution
    A=x2+4xy
    V=x2y

    x2+4xy=60
    4xy=60-x2
    y=(60-x2)/4x

    Where do I go from here?
     
  2. jcsd
  3. Aug 6, 2010 #2
    Have you done this kind of maximization problem before? You want to get an function for volume in terms of a single variable (which you are about to do). Then you differentiate the function and set the derivative equal to zero.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook