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knight247
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What is the maximum number of rectangular blocks, each with dimensions 12 centimeters by 6 centimeters 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 centimeters.
This one is from the OG. Problem is pretty simple. OA is [spoiler]B[/spoiler]
Statement one is insufficient because we don't know on which side the rectangular blocks are resting.
About statement two, If I take the following
approach let z be the number of blocks
60*30*20=z*12*6*4
z=125. Is equating their volumes and find the value of z sufficient considering that we know the individual dimensions of both Box X and the blocks? Would this approach work for problems where we only know the volume but not the individual sides. Or when we know some of the dimensions but not all? Hope my questions didn't seem too complicated. Thanks
(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 centimeters.
This one is from the OG. Problem is pretty simple. OA is [spoiler]B[/spoiler]
Statement one is insufficient because we don't know on which side the rectangular blocks are resting.
About statement two, If I take the following
approach let z be the number of blocks
60*30*20=z*12*6*4
z=125. Is equating their volumes and find the value of z sufficient considering that we know the individual dimensions of both Box X and the blocks? Would this approach work for problems where we only know the volume but not the individual sides. Or when we know some of the dimensions but not all? Hope my questions didn't seem too complicated. Thanks
