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What is the maximum number of 4x4x4 cubes

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by buoyant » Fri Jan 10, 2014 11:44 am
What is the maximum number of 4x4x4 cubes that can fit in a rectangular box measuring 10x12x16 ?

A) 12
B) 18
C) 20
D) 24
E) 30

[spoiler]OA: D

[/spoiler]

will be wonderful if someone can explain with a diagram
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by GMATGuruNY » Fri Jan 10, 2014 1:09 pm
buoyant wrote:What is the maximum number of 4x4x4 cubes that can fit in a rectangular box measuring 10x12x16 ?

A) 12
B) 18
C) 20
D) 24
E) 30
Determine the maximum number of times each dimension of the cube (4 * 4 * 4) can divide into each corresponding dimension of the box (10 * 12 * 16):
(10 * 12 * 16) / (4 * 4 * 4) = 2 * 3 * 4 = 24.

The correct answer is D.
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