1. Not finding help here? Sign up for a free 30min 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!

Surface Area help

  1. Apr 14, 2012 #1
    1. The problem statement, all variables and given/known data
    Imagine you have a rectangular piece of cardboard measuring 3 feet by 4 feet. You know that if you cut a square out of each corner, you can fold the pieces together and tape them together to make an object that looks like a shoe box:http://www.omahamathtutor.com/wp-content/uploads/2012/03/shoebox.png
    What is the outside surface area of this shoe box shape that maximize the volume?



    2. Relevant equations
    2ab + 2bc + 2ac


    3. The attempt at a solution
    Not sure where to start
     
  2. jcsd
  3. Apr 14, 2012 #2
    V = L*W*H

    Then express the length, width, and height in terms of x after you remove those four squares from the 4 x [STRIKE]12[/STRIKE] 3 rectangle.
     
    Last edited: Apr 14, 2012
  4. Apr 14, 2012 #3
    Could you show me how to do that?
     
  5. Apr 14, 2012 #4
    The length is originally 4, then you cut off two segments of length x from both ends of that side, so L = 4 - 2x. Same thing for the width.

    After cutting out the four squares, you have four flaps that fold up; what would be the height of these flaps?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Surface Area help
Loading...