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16 Sep 2014, 01:18
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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
A. 12
B. 18
C. 20
D. 24
E. 30
16 Sep 2014, 01:18
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Official Solution:
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
To determine the maximum number of 4x4x4 cubes that can fit in a rectangular box measuring 10x12x16, we must first calculate how many of these smaller cubes can fit in each dimension.
In the length dimension, we can fit a maximum of 10/4 = 2.5 cubes, but since we cannot cut the cubes, we must round down to the nearest whole number, which gives us 2 cubes.
In the width dimension, we can fit a maximum of 12/4 = 3 cubes.
In the height dimension, we can fit a maximum of 16/4 = 4 cubes.
Therefore, the maximum number of 4x4x4 cubes that can fit in the rectangular box is the product of the number of cubes that fit in each dimension, which is 2*3*4 = 24 cubes.
Note that this is not a Geometry question. While it uses basic knowledge of lines and figures, it is classified as a Word Problem. There are 8 questions within GMAT Prep Focus Edition that use similar principles. Here is one example and here is another example.
Answer: D
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
To determine the maximum number of 4x4x4 cubes that can fit in a rectangular box measuring 10x12x16, we must first calculate how many of these smaller cubes can fit in each dimension.
In the length dimension, we can fit a maximum of 10/4 = 2.5 cubes, but since we cannot cut the cubes, we must round down to the nearest whole number, which gives us 2 cubes.
In the width dimension, we can fit a maximum of 12/4 = 3 cubes.
In the height dimension, we can fit a maximum of 16/4 = 4 cubes.
Therefore, the maximum number of 4x4x4 cubes that can fit in the rectangular box is the product of the number of cubes that fit in each dimension, which is 2*3*4 = 24 cubes.
Note that this is not a Geometry question. While it uses basic knowledge of lines and figures, it is classified as a Word Problem. There are 8 questions within GMAT Prep Focus Edition that use similar principles. Here is one example and here is another example.
Answer: D
19 Mar 2015, 17:45
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As you see in the image I attached.
total 6 cubes (4*4*4 size) can get fit at level 1.
For H = 16 , there will be 4 level.
isn't it?
so total cubes that can fit in the rectangular box will be 6 x 4 = 24.
I hope this helps.
total 6 cubes (4*4*4 size) can get fit at level 1.
For H = 16 , there will be 4 level.
isn't it?
so total cubes that can fit in the rectangular box will be 6 x 4 = 24.
I hope this helps.
Attachments
Cube problem.png [ 10.26 KiB | Viewed 17577 times ]
