Latest Infosys Aptitude Question SOLUTION: A big cube painted red on all the sides. It was cut into 27 smaller cubes by 6 straight lines. How many of the smaller cubes painted on all 3 sides, on 2 sides, on 1 side and no fa

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(#M40000554) INFOSYS Logical Reasoning question big cube infosys puzzle Keep an EYE

A big cube painted red on all the sides. It was cut into 27 smaller cubes by 6 straight lines. How many of the smaller cubes painted on all 3 sides, on 2 sides, on 1 side and no faces painted?

Asked In Infosys Aditi Sharma (13 years ago)

Solved mukesh ranjan mallick Read Solution (7)

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Read Solution (7) :

mukesh ranjan mallick  (13 years ago)

as 27 small cubes to be of same volume then
A(side of big cube) = 3*a(side of small cude)
so we can take side of small cubes to be 1 cm , then side of big cube = 3cm, and volume becomes 27cm cube.
then taking a cube of 27cm cube the first dividing it into 3parts(with three straight lines) with three lines and then dividing into again into three part with three line each producing 9 parts, 27 parts at total.
NOW
1)SIDES WITH 3 SIDES PAINTED IS PRODUCED BE 8 CORNERS. SO ANSWER FOR FIRST IS 8
SIMILARLY PROCCEDING WE WILL GET--12,6,1 as answer.

Is this solution Helpfull? Yes (22) | No (6)  

charan  (8 years ago)

The Cube is cut 3 times horizontally and 3 times vertically to get 27 cubes
so n=3
no of smaller cubes with 3 sides painted= 8 always
no of smaller cubes with 2 sides painted= 12*(n-2)--->12*(3-2)= 12
no of smaller cubes with 1 side painted= 6*(n-2)^2--->6*(3-2)^2= 6
no of smaller cubes with no sides painted= (n-2)^3=1

So, answer is 8,12,6,1

Is this solution Helpfull? Yes (9) | No (1)  

sreeparnadey  (10 years ago)

pls suggest from where i can study for this cube paint problems.I don't know how to solve this.my mailid sreeparnadey2008@gmail.com.pls help me how to prepare for infosys

Is this solution Helpfull? Yes (2) | No (3)  

manikandan  (13 years ago)

3 sides= 8
2 sides= 8
1 sides= 6
0 sides= 1

Is this solution Helpfull? Yes | No (24)  

Jakkana Sravani  (9 years ago)

please send the link where i can find problems on cubes.......

Is this solution Helpfull? Yes | No (1)  

tammana aparna  (8 years ago)

27=3^3
3sides so corners=8
2sides so edges=12
1side faces=6
no faces=1

Is this solution Helpfull? Yes | No   

B.Nooka raju  (8 years ago)

27=3^3
3sides so corners=8
2sides so edges=12
1side faces=6

Is this solution Helpfull? Yes | No   

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