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# A cube of side 5cm is painted on all its side. If it is

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VP
Joined: 09 Jul 2007
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A cube of side 5cm is painted on all its side. If it is [#permalink]  17 Nov 2007, 15:23
A cube of side 5cm 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
Director
Joined: 08 Jun 2007
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Re: this is a gmat league question-cube [#permalink]  17 Nov 2007, 15:31
Ravshonbek wrote:
A cube of side 5cm 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

D.

Visualizing one side of the cube , we will be left 3X3 = 9 cubes having one side painted.
Since we have six surfaces , we should have 54 exactly one of sides painted
CEO
Joined: 17 Nov 2007
Posts: 3578
Concentration: Entrepreneurship, Other
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Expert's post
D. 54

O - 1-side 1cm3
X - 2- or 3-sides 1cm3

XXXXX
XOOOX
XOOOX 9 from one side => 6*9 from 5*5*5 cube.
XOOOX
XXXXX
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