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MathGroup Archive 2004

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Re: SOLVING A CUBE

  • To: mathgroup at smc.vnet.net
  • Subject: [mg48922] Re: SOLVING A CUBE
  • From: Bill Rowe <readnewsciv at earthlink.net>
  • Date: Wed, 23 Jun 2004 02:51:31 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

On 6/22/04 at 5:31 AM, stergios.papadakis at jhuapl.edu (Stergios J.
Papadakis) wrote:

>Alexey Semenov wrote:

>>I would greatly appreciate if you can help me with a link to a
>>modeling software program or a formula for calculating the
>>following:

>>I have piece of rock which equals to 1 cubic meter
>>(length/height/width- one meter each side). I need to cut pieces
>>that equal to 45cm X 45cm X 3cm (length/width/height). How many of
>>these pieces i can get out of a 1 cubic meter stone?

>Am I missing something or is it just
>IntegerPart[L/l]*IntegerPart[W/w]*IntegerPart[H/h]?

This would be correct if all of the small boxes had the same orientation. Consider, you can get 16 of the small boxes in a space 45 x 45 x 48 by laying one 45 x 45 x 3 box on top of the other 15 so that the 3 cm side is perpendicular to the 3 cm sides of the other boxes. Your formula above predicts only 15 can be stored in this space.

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