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

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Senior DS Moderator
Joined: 27 Oct 2017
Posts: 1114
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)
A cube with a side of 3 inches is painted green and then sliced into s  [#permalink]

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03 Jul 2018, 07:50
00:00

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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Math Expert
Joined: 02 Sep 2009
Posts: 51072
Re: A cube with a side of 3 inches is painted green and then sliced into s  [#permalink]

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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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Intern
Joined: 23 Feb 2018
Posts: 11
Re: A cube with a side of 3 inches is painted green and then sliced into s  [#permalink]

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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
Director
Joined: 14 Dec 2017
Posts: 519
Location: India
Re: A cube with a side of 3 inches is painted green and then sliced into s  [#permalink]

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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.

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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