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# A cube of side 3 cm is painted on all its sides

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Manager
Joined: 15 Nov 2017
Posts: 169
Location: India
Concentration: Operations, Marketing
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A cube of side 3 cm is painted on all its sides  [#permalink]

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30 Aug 2018, 04:33
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00:00

Difficulty:

35% (medium)

Question Stats:

63% (01:04) correct 38% (01:49) wrong based on 28 sessions

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A cube of side 3 cm is painted on all its sides. If it is sliced into 1 cubic centimeter cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?

A. 6
B. 18
C. 30
D. 54
E. 9

Source: Some GMAT prep material

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Joined: 07 Oct 2017
Posts: 253
Re: A cube of side 3 cm is painted on all its sides  [#permalink]

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30 Aug 2018, 04:48
aggvipul wrote:
A cube of side 3 cm is painted on all its sides. If it is sliced into 1 cubic centimeter cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?

A. 6
B. 18
C. 30
D. 54
E. 9

Source: Some GMAT prep material
The cubes at the corners have exactly 3 faces painted. The cube at the edges have exactly 2 faces painted. The cube in the center have exactly one face painted.

Therefore 1 cube on each side *6 sides =6 cubes. Answer is A

Thank you = Kudos
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Thank you =Kudos
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Re: A cube of side 3 cm is painted on all its sides  [#permalink]

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30 Aug 2018, 06:18
Top Contributor
aggvipul wrote:
A cube of side 3 cm is painted on all its sides. If it is sliced into 1 cubic centimeter cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?

A. 6
B. 18
C. 30
D. 54
E. 9

So, there are 27 cubes in total.

In the diagram above, we can see that the middle cube on each face is the only cube that will have exactly one painted side.
There are 6 faces in total, so there are 6 cubes with exactly one painted side.

Cheers,
Brent
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Re: A cube of side 3 cm is painted on all its sides   [#permalink] 30 Aug 2018, 06:18
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