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A cube with a side of 3 inches is painted green and then sliced into s

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A cube with a side of 3 inches is painted green and then sliced into s  [#permalink]

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New post 03 Jul 2018, 07:50
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Difficulty:

  35% (medium)

Question Stats:

68% (01:15) correct 32% (01:17) wrong based on 24 sessions

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A cube with a side of 3 inches is painted green and then sliced into smaller cubes with 1 inch sides. How many of the smaller cubes have exactly three painted sides?
A) 4
b) 6
C) 8
D) 10
E) 12

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Re: A cube with a side of 3 inches is painted green and then sliced into s  [#permalink]

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New post 03 Jul 2018, 08:05
gmatbusters wrote:
A cube with a side of 3 inches is painted green and then sliced into smaller cubes with 1 inch sides. How many of the smaller cubes have exactly three painted sides?
A) 4
b) 6
C) 8
D) 10
E) 12


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Re: A cube with a side of 3 inches is painted green and then sliced into s  [#permalink]

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New post 05 Jul 2018, 20:06
2
Hi,

Visualise the question by thinking of a rubiks cube(you can scale it up for questions with bigger dimensions)
3 faces will be painted only on the edge pieces ie 8 ie C
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Re: A cube with a side of 3 inches is painted green and then sliced into s  [#permalink]

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New post 05 Jul 2018, 23:31
gmatbusters wrote:
A cube with a side of 3 inches is painted green and then sliced into smaller cubes with 1 inch sides. How many of the smaller cubes have exactly three painted sides?
A) 4
b) 6
C) 8
D) 10
E) 12



The corner cubes will have 3 faces, when the larger cube is sliced into smaller faces.

The larger cube has 8 corners, hence 8 cubes will have 3 faces painted.


Answer C.


Thanks,
GyM
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Re: A cube with a side of 3 inches is painted green and then sliced into s &nbs [#permalink] 05 Jul 2018, 23:31
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A cube with a side of 3 inches is painted green and then sliced into s

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