Results 1 to 2 of 2

Thread: Maximum Volume...

  1. #1
    Newbie
    Joined
    Feb 2014
    From
    Australia
    Posts
    2

    Maximum Volume...

    Maximum Volume...-capture.jpg
    So I know that the width would be (80- x), the height would be (x) and the length would be (60-x)
    So what are the constraints? on the L, W and H...? I don't know how to find them... And the dimensions...?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    4,945
    Thanks
    2074

    Re: Maximum Volume...

    look at the total length and width of your unfolded tank as shown in the picture.
    compare that the the size of the sheet of material you have.
    That gets you 2 constraint equations.

    You use 2 Lagrange multipliers and solve the system of 5 equations.

    P = vol - a*length_constraint - b*width_constraint

    solve

    dP/dh=0, dP/dl=0, dP/dw=0, dP/da=0, dP/db=0
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Maximum possible volume?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Nov 18th 2009, 02:38 PM
  2. What maximum volume?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Nov 18th 2009, 02:12 PM
  3. Maximum Volume
    Posted in the Calculus Forum
    Replies: 3
    Last Post: Nov 13th 2009, 10:30 AM
  4. Maximum volume of a box
    Posted in the Calculus Forum
    Replies: 3
    Last Post: Jul 30th 2009, 08:00 AM
  5. Maximum Volume
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: Oct 2nd 2007, 09:29 PM

Search Tags


/mathhelpforum @mathhelpforum