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Thread: Use a standard A4 paper to form a largest volume block

  1. #1

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    Use a standard A4 paper to form a largest volume block

    how to Use a standard A4 paper to form a largest volume block ?

  2. #2
    Fanatic Member twanvl's Avatar
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    Re: Use a standard A4 paper to form a largest volume block

    You mean the block X so that X has an A4 paper as its surface, and has the maximum volume?

    The area of a sheet of A4 paper is 2-4 m2 = 0.0625 m2.
    To get the maximum volume you use a cube (a sphere would be better, but that is not a 'block').
    The six sides will each have area A=0.0625/6 m2.
    The sides are the square roots of that, s=sqrt(A)≈0.0104.
    The volume is s3≈0.00106 m3.

    Of course, whether you can actually fold a sheet of paper this way is a different matter, but by (possibly infinite) cutting and pasting it is possible.

  3. #3
    Hyperactive Member
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    Re: Use a standard A4 paper to form a largest volume block

    From working in typesetting, I can assure you that an A4 sheet of paper is precisely 0.21 m by 0.297 m = 0.06237 m2. Not that it makes a huge difference here...

  4. #4
    Conquistador
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    Re: Use a standard A4 paper to form a largest volume block

    Weren't those cube templates always something similar to this:

    (Assuming you had to cut it out, and weren't allowed to paste)

    Code:
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       _ 
      |  |
       _ 
    | |  |  |
      |  |
       _
    forgive the crude drawing..
    lol

    basically a line of four squares, with two more equal sized squares coming off the line..

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