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How much space, in cubic units, is left vacant when maximum number of

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How much space, in cubic units, is left vacant when maximum number of  [#permalink]

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New post 01 Nov 2019, 05:54
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A
B
C
D
E

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Question Stats:

66% (02:07) correct 34% (01:43) wrong based on 62 sessions

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Concentration: Entrepreneurship, Marketing
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Re: How much space, in cubic units, is left vacant when maximum number of  [#permalink]

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New post 01 Nov 2019, 06:12
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Bunuel wrote:
How much space, in cubic units, is left vacant when maximum number of 4x4x4 cubes are fitted in a rectangular box measuring 10x12x16 ?

A. 0
B. 36
C. 180
D. 216
E. 384


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Total space = 10x12x16
In any orientation, space used will be 12x16x8
—> Space left out = 12x16x10 - 12x16x8 = 12x16x2 = 384

IMO Option E

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Re: How much space, in cubic units, is left vacant when maximum number of  [#permalink]

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New post 02 Nov 2019, 02:38
Bunuel wrote:
How much space, in cubic units, is left vacant when maximum number of 4x4x4 cubes are fitted in a rectangular box measuring 10x12x16 ?

A. 0
B. 36
C. 180
D. 216
E. 384


Are You Up For the Challenge: 700 Level Questions


total volume of the box ; 12*16*10
total volume of the cube which can fit into the box ; 12*16*8
8 because that is the max dimension of the cube of 4 can cover for space of 10
so ∆ will be 12*16*10- 12*16*8 = 384
IMO E
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Re: How much space, in cubic units, is left vacant when maximum number of   [#permalink] 02 Nov 2019, 02:38
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How much space, in cubic units, is left vacant when maximum number of

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