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# What is the maximum number of 27 cubic centimetre cubes that can fit

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What is the maximum number of 27 cubic centimetre cubes that can fit  [#permalink]

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03 Dec 2014, 02:21
1
6
00:00

Difficulty:

55% (hard)

Question Stats:

53% (01:15) correct 47% (01:11) wrong based on 154 sessions

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What is the maximum number of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ?

A. 36
B. 32
C. 24
D. 21
E. 15

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SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1793
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: What is the maximum number of 27 cubic centimetre cubes that can fit  [#permalink]

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03 Dec 2014, 21:40
4
3

$$\frac{8 * 9 * 12}{3*3*3} =$$

$$\frac{8}{3} = 2$$ (Ignore Decimal; SPACE utilized CANNOT be adjusted. That's wasted)

$$\frac{9}{3} = 3$$

$$\frac{12}{3} = 4$$

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##### General Discussion
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Re: What is the maximum number of 27 cubic centimetre cubes that can fit  [#permalink]

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03 Dec 2014, 04:35
27 cubic centimetre cubes gives side = 3cm
so if:
L*W*H is 9*12*8, then max. cube we can have are 3*4*2 = 24
L*W*H is 9*8*12, then max. cube we can have are 3*2*4 = 24
L*W*H is 12*8*9, then max. cube we can have are 4*2*3 = 24
L*W*H is 12*9*8, then max. cube we can have are 4*3*2 = 24
L*W*H is 8*12*9, then max. cube we can have are 2*4*3 = 24
L*W*H is 8*9*12, then max. cube we can have are 2*3*4 = 24

In all cases we get 24 cubes.
Ans. C
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Re: What is the maximum number of 27 cubic centimetre cubes that can fit  [#permalink]

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14 Sep 2018, 19:39
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Re: What is the maximum number of 27 cubic centimetre cubes that can fit   [#permalink] 14 Sep 2018, 19:39
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