Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Build garden boxes this summer

  1. Mar 22, 2014 #1
    Im trying to build garden boxes this summer and Im trying to determine the dimensions through optimization. Its been a long time since ive done this and I cant seem to model this mathematically.

    Id like a box where the volume=13.5ft^3 and the height of the frame to be 8 inches or .66ft. Id like to minimize the amount of material used.
    I guess im more bothered that this is a fairly simple problem and I cant remember how to model it. Im more concerned with the method than the answer.

    Thanks.
     
  2. jcsd
  3. Mar 22, 2014 #2

    Stephen Tashi

    User Avatar
    Science Advisor

    It isn't a simple problem in the real world. For example, materials such as lumber are usually available only in standard lengths. If you need a 5 ft board from 8 ft lumber and don't use the 3 ft "scrap" left over then you must account for what is wasted in your tally of "amount of material".

    If you ignore such real world aspects you can begin by writing the expression for the total amount of material in terms of variables representing the (as yet unknown) dimensions of the box. Do that and someone can help you proceed. (For example, we don't know if your box has a bottom or whether it is just a "frame".)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Build garden boxes this summer
  1. Box Muller transform (Replies: 1)

  2. Calculus 2 for summer? (Replies: 3)

Loading...