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OG 12 q 18

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OG 12 q 18

by kullayappayenugula » Mon Nov 05, 2012 1:26 am
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.

How to make sure that maximum number of boxes fit in the given box? Do we have any condition which will ensure that we have maximum number of boxes in side the given bigger box?
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by Jim@StratusPrep » Mon Nov 05, 2012 8:55 am
The main condition that you need is the size of the Box. When you have that you can calculate the max number. Only 2 gives you this.

B
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by FLUID » Tue Nov 06, 2012 12:10 am
kullayappayenugula wrote: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.

How to make sure that maximum number of boxes fit in the given box? Do we have any condition which will ensure that we have maximum number of boxes in side the given bigger box?

Maximum boxes = Total volume of the Box/ Volume of each block

Maximum boxes = 60 * 30 * 20/ 12 * 6* 4 = 125.

Option (B) gives inside dimension of the box.
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