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Painted Cube

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by N:Dure » Sun Dec 12, 2010 11:00 am
A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have paint on exactly 2 sides?


A. 30
B. 24
C. 12
D. 8
E. 6


I got the answer to be 12, is this correct?

Cause the cubes with exactly 2 sides painted will be in the middle vertical rows ( 4x2 = 8) and the middle horizontal row (4) all = 12
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by shovan85 » Sun Dec 12, 2010 11:24 am
N:Dure wrote:A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have paint on exactly 2 sides?


A. 30
B. 24
C. 12
D. 8
E. 6


I got the answer to be 12, is this correct?

Cause the cubes with exactly 2 sides painted will be in the middle vertical rows ( 4x2 = 8) and the middle horizontal row (4) all = 12
Cube with side as 6 painted pink when split into cubes of side 2 then there will be 6^3/2^3 = 3^3 = 27.

Two sides pained pink will be the middle cubes those are of side 2 in the sides of the cube side 6.

As there are 12 sides of a cube the answer is 12.
If the problem is Easy Respect it, if the problem is tough Attack it
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by kutkut » Tue Jul 07, 2015 3:14 am
EVEN I CAN NOT UNDERSTAND THE QUESTION . CAN YOU PLZ MAKE A PICTURE FOR ME?
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