Latest Infosys Aptitude Question SOLUTION: There is a 4 inch cube painted on all sides. This is cut into no of 1 inch cubes. What is the no of cubes which have no painted sides.

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There is a 4 inch cube painted on all sides. This is cut into no of 1 inch cubes. What is the no of cubes which have no painted sides.

Asked In Infosys (14 years ago)

Solved Tijo Jose Read Solution (9)

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Read Solution (9) :

Tijo Jose  (14 years ago)

8 cubes.

The original cube is cut into 64 pieces. Removing all cubes from any two opposite pairs of faces leaves total 32 cubes, as one face contains 16 cubes each. It can be seen that in the remaining two layers, only four each from each layer have no sides painted. So total = 2*4=8 cubes.

Is this solution Helpfull? Yes (17) | No (7)  

mounika  (9 years ago)

no painted cube formula=(n-2)^3
since it is 4X4 cube so n=4;(4-2)^3=2^3=8

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

SHYAAM KISHOR  (8 years ago)

total no of cubes = 64 cubes
3 Face painted = 8 cubes
2 Face painted = 24 cubes
1 Face painted = 24 cubes
So, NO Face painted will be = [64-(8+24+24)] = 8 cubes

Is this solution Helpfull? Yes (7) | No   

Wafa  (14 years ago)

4

Is this solution Helpfull? Yes (3) | No (11)  

Tijo Jose  (14 years ago)

To be exact, there will be 8 small cubes with 3 faces painted, 24 small cubes with 2 faces painted, 24 small cubes with 1 face painted and 8 small cubes with no faces painted. Try drawing the image on a paper.

Is this solution Helpfull? Yes (3) | No (3)  

Gokul M Nair  (14 years ago)

only the 4 cubes which occupied the core portion of the 4inch cube will be totaly unpainted...

Is this solution Helpfull? Yes (1) | No (5)  

priyanka kumari  (9 years ago)

0 cubes... All cubes are painted.

Is this solution Helpfull? Yes | No (4)  

maharaja  (9 years ago)

8 ans...i solve it oraly....

Is this solution Helpfull? Yes | No (4)  

Rajaboina Radhika  (6 years ago)

8 cubes

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