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Boxes and container

  1. Dec 22, 2004 #1
    just got a interesting question from my friend...

    there is an empty container.
    different sizes of rectangular boxes are to put into it

    1.what is the maximum number of boxes can be put into it? and
    2.how to arrange them to optimize the number of boxes?

    Can anyone derive the formula on this questions ??

    it seems to me that an infinite amount of boxes can be put in it.. coz the question didnt limit the size.... so .. if the size of the boxes approahes 0........... the there can be unlimited number of boxes..............
    hmmm... what do u guys think?
  2. jcsd
  3. Dec 22, 2004 #2


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    Staff Emeritus
    Science Advisor

    That's and extremely difficult problem. Probably the most efficient way to answer the question is "actually do it and see"!
  4. Dec 22, 2004 #3


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    Science Advisor
    Homework Helper

    There are actually some classic puzzles based on packing balls into boxes which can be surprisingly difficult.
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