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# A 5 cubic centimeter cube is painted on all its side. If it

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Director
Joined: 02 Mar 2006
Posts: 575

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Location: France
A 5 cubic centimeter cube is painted on all its side. If it [#permalink]

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21 Sep 2006, 08:32
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A 5 cubic centimeter cube is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?

A. 9
B. 61
C. 98
D. 54
E. 64

Kudos [?]: 128 [0], given: 0

SVP
Joined: 01 May 2006
Posts: 1794

Kudos [?]: 166 [0], given: 0

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21 Sep 2006, 08:36
For me (D)

We have to take only 3*3 (removed all cube at edges) on each surface of the cube.

Thus, 3*3*6 = 54

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Director
Joined: 02 Mar 2006
Posts: 575

Kudos [?]: 128 [0], given: 0

Location: France
Re: PS - Sliced cube [#permalink]

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21 Sep 2006, 11:09
karlfurt wrote:
A 5 cubic centimeter cube is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?

A. 9
B. 61
C. 98
D. 54
E. 64

You are all right but I have a fundamental question:

I thought that a 5cc cube is a cube with side s has a volume of s*s*s = s^3=5 so s=cubic root(5)cm=1,7cm.
If the cube has a side=5, then its volume wd be 5*5*5=125cc....

Like a square with an area of 25 cm2 has a side s=sqrt(25)=5cm.

Can you please explain where I'm wrong?

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GMAT Instructor
Joined: 04 Jul 2006
Posts: 1259

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21 Sep 2006, 12:24
You're not wrong- the question was wrongly worded-a 5 cubic centimetre cube cannot be sliced into several 1 cubic centimetre cubes.

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Director
Joined: 06 May 2006
Posts: 791

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21 Sep 2006, 12:27
A 5cc cube can be cut only into 5 pieces of 1cc each. You are right. Whats the source of the problem?
_________________

Uh uh. I know what you're thinking. "Is the answer A, B, C, D or E?" Well to tell you the truth in all this excitement I kinda lost track myself. But you've gotta ask yourself one question: "Do I feel lucky?" Well, do ya, punk?

Kudos [?]: 39 [0], given: 2

SVP
Joined: 01 May 2006
Posts: 1794

Kudos [?]: 166 [0], given: 0

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21 Sep 2006, 12:31
Kaplan 2007 Kevincan?

Sorry... I did not resist Kevincan

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VP
Joined: 02 Jun 2006
Posts: 1258

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21 Sep 2006, 14:01
Another one for D. 54.

Although Karl brings up a good point. Thought about 5cc vol cube. Should be 5cm side cube.

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Director
Joined: 02 Mar 2006
Posts: 575

Kudos [?]: 128 [0], given: 0

Location: France

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21 Sep 2006, 16:58
The source was a 4gmat.
Im feeling better, I thought I had to see again the very basic of math!

Kudos [?]: 128 [0], given: 0

21 Sep 2006, 16:58
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