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# How do we know what are the leght and width among 3 given

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Director
Joined: 22 Aug 2007
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How do we know what are the leght and width among 3 given [#permalink]  03 Sep 2007, 00:24
How do we know what are the leght and width among 3 given numbers, if need to know, of course.

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GMAT Club Legend
Joined: 07 Jul 2004
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What is the maximum number fo 4*4*4 cubes that can fit in a rectangular box measuring 10*12*16

If the rectangular box has a base 10*12, then it can fit only 3*2*4 = 24 cubes.
If the rectangular box has a base 10*16, then it can fit only 4*2*3 = 24 cubes.
If the rectangular box has a base 12*16, then it can fit only 4*3*2 = 24 cubes.

So the maximum is 24 cubes.
GMAT Club Legend
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Note: Common GMAT Volume Trick:
When fitting 3D objects into other 3D objects, knowing the respective volume is not enough. We must know the specific dimensions (length, width, height) of each object to determine if it can fit
Director
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ywilfred wrote:
Note: Common GMAT Volume Trick:
When fitting 3D objects into other 3D objects, knowing the respective volume is not enough. We must know the specific dimensions (length, width, height) of each object to determine if it can fit

Right, I got it, now.

Thank you.
CEO
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ywilfred wrote:
Note: Common GMAT Volume Trick:
When fitting 3D objects into other 3D objects, knowing the respective volume is not enough. We must know the specific dimensions (length, width, height) of each object to determine if it can fit

Yup. This is very relevant in regard to the cylinder inside a rectangular box question. It depends on the base of the box.
CEO
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Location: New York City
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Re: Cube and box [#permalink]  22 Dec 2007, 22:37
IrinaOK wrote:
How do we know what are the leght and width among 3 given numbers, if need to know, of course.

12
18
20
24
30

asked an engineering friend. he said it doesnt matter what the base is in this case. we divide out the dimensions by 4. there is no need to rearrange the dimensions because the divisor is the same (all are divided by 4)

16/4 * 10/4 * 12/4
4* 2.5 * 3
we cannot have half a cube. we can only have 2 cubes. we cannot round up a cube. it is impossible.

4*2*3 = 24 max
Re: Cube and box   [#permalink] 22 Dec 2007, 22:37
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