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Rectangular Blocks - Stumped by this OG question

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Rectangular Blocks - Stumped by this OG question

by sreak1089 » Thu Dec 10, 2009 12:22 am
What is the maxiumum number of rectangular blocks, each with dimensions 12 centimers by 6 centimers by 4 centimeters, that will fit inside rectangular Box X?

(1) When Box X is filled with the blocks and rests on a certain side, there are 25 blocks in the bottom layer.

(2) The inside dimensions of Box X are 60 centimeters by 30 centimeters by 20 centimters.
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by varchar » Thu Dec 10, 2009 12:45 am
IMO : B
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by viju9162 » Thu Dec 10, 2009 1:11 am
Volume of blocks * number of blocks = volume of the Box X

(a) does not give much information about the dimensions of box X

(b) Gives the dimensions of box X

Therefore, 288*n = 60*30*20.

n = 125

B is sufficient
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