Latest CTS Aptitude Question SOLUTION: cube is coloured pink on 1face and orange on opposite.brown on ane face and silver on adjacent to brown.cut into 125 small cubes. how many cubes have all the faces uncoloured?

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cube is coloured pink on 1face and orange on opposite.brown on ane face and silver on adjacent to brown.cut into 125 small cubes. how many cubes have all the faces uncoloured?

Asked In CTS Shruti Ghosh (12 years ago)

Unsolved Read Solution (14)

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Read Solution (14) :

dolly  (12 years ago)

ans : 27
(solution :
formula for faces uncoloured = (n-2)^3
cube root of 125(n) = 5
no face coloured = (5-2)^3 =27.)

Is this solution Helpfull? Yes (31) | No (22)  

Jason  (12 years ago)

3*4*4= 48
because only 4 faces are painted.

Is this solution Helpfull? Yes (18) | No (2)  

Ashu  (12 years ago)

As only 4 faces are coloured, 48 cubes will be uncoloured.

Is this solution Helpfull? Yes (8) | No (2)  

Keerthana  (10 years ago)

Uncolored :45
80 cubes has colored on a-least one side in each faces,

Is this solution Helpfull? Yes (8) | No (1)  

Sathya Priya S  (12 years ago)

Jason can you explain me clearly

Is this solution Helpfull? Yes (3) | No   

Srinivasa Vamsi Krishna Dodda  (10 years ago)

First check this link : http://jwilson.coe.uga.edu/EMT668/emt668.student.folders/SeitzBrian/EMT669/painted.cube/painted.html

.. Now My solution is

No. of Unpainted Sides = 27 (From above link)
No . of 2 sides painted are = 36 (dive by 6(Since 6 sides))=6 *2 (Since 2 un painted) = 12
So toatal Unpainted = 27+12 = 39

Is this solution Helpfull? Yes (1) | No (1)  

bhageeratha reddy  (8 years ago)

Cubes with 3 sides colored = 8
Cubes with 2 sides colored = 12 * (N-2)
Cubes with 1 sides colored = 6 * (N-2)^2
Cubes with 3 sides colored = (N-2)^3
cube =5*5*5=125 ; so N=5
so ans is 3^3 =27

Is this solution Helpfull? Yes (1) | No   

Haq nawaz khan  (10 years ago)

ans:105
5*4=20 will colored 5 from each face...
there are 4 color face

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nancee sumathy  (9 years ago)

ans:48
3*4*4

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Amritha  (9 years ago)

the answer wil be 48 . this is the correct answer

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Shamik Maity  (9 years ago)

FIRST OF ALL THERE WILL BE (5-2)^3=27 CUBES UNCOLORED EVEN IF ALL SIX FACES WERE COLORED BUT HERE ONLY 4 FACES ARE COLORED, SO CLEARLY THERE WILL BE MORE NO OF CUBES UNPAINTED THAN 27...
THE ANS WILL BE 2*3*4+27= 51 CUBES...
DUE TO THE TWO SIDES UNPAINTED EACH OF THEM WILL CONTAIN 3*4 UNPAINTED CUBES.

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Misti Kumar  (9 years ago)

there have no cubes where all the faces uncoloured.
because of in cube 4 faces are coloured.

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niranjan  (8 years ago)

3*4*4=48 faces uncolored

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Vinnu  (8 years ago)

50 =25+25
Each side 4 cuts so 5 pieces
(4+1)(4+1)(4+1)=125
uncoloured faces 2 so=25*2=50

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