  Math Central - mathcentral.uregina.ca  Quandaries & Queries    Q & Q    Topic: max min problems   start over

One item is filed under this topic.    Page1/1            The box of maximum volume 2006-02-01 From Elizabeth:A box factory has a large stack of unused rectangular cardboard sheets with the dimensions of 26 cm length and 20 cm width. The question was to figure what size squares to remove from each corner to create the box with the largest volume. I began by using a piece of graph paper and taking squares out. I knew that the formula L X W X H would give me volume. After trial and error of trying different sizes I found that a 4cm X 4cm square was the largest amount you can take out to get the largest volume. My question for you is two parts First: Why does L X H X W work? And second, is their a formula that one could use, knowing the length and width of a piece of any material to find out what the largest possible volume it can hold is without just trying a bunch of different numbers until you get it. If there is, can you explain how and why it works. Answered by Penny Nom.      Page1/1    Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.    about math central :: site map :: links :: notre site français