Latest Infosys Aptitude Question SOLUTION: Q. There is a 25 inch cube painted on all sides. This is cut down into of 5 inch cubes. What is the no of cubes which have no pointed sides

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Q. There is a 25 inch cube painted on all sides. This is cut down into of 5 inch cubes. What is the no of cubes which have no pointed sides

Asked In Infosys RagunathKC (10 years ago)

Unsolved Read Solution (10)

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Read Solution (10) :

Mani  (10 years ago)

assume that no of pieces 'n'
and for cube first u need to fine N
N=(n)^(1/3)
now formulaes are
3 sided color=8
2 sided color=12(N-2)
1 sided color=6(N-2)^2
no sided color=(N-2)^3
given that 25 inch cube and cutted into 5 inch cubes so
no of cubes formed n=5^3
now N=(5^3)^(1/3)
N=5
now question asked to find is no painted cubes
so (N-2)^3
(5-2)^3=27

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T.N.Girishkumar  (10 years ago)

27 is ans

Is this solution Helpfull? Yes (4) | No (2)  

nandish  (10 years ago)

dividing a cube yields totally 125 derived cubes.
corner cubes =4+4=8,
edged cubes=(3+3+3+3)*3=36,
facial cubes=9+9+9+9+9+9=54,

so painted cubes= 8+36+54=98,

remaining unpainted=125-98=27.

Is this solution Helpfull? Yes (4) | No (1)  

thangamani  (10 years ago)

27 cubes have no painted sides. Total no of small cubes are 125. painted outer layer cubes are 98. hence 125-98=27.

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Niketa Prakash  (10 years ago)

27...is correct

Is this solution Helpfull? Yes (1) | No   

Sanchit  (10 years ago)

how you got 98 as the painted sides ?

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Manisha Tripathi  (10 years ago)

please help me with these cube ques..........is there any trick to solve these kind of ques

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Swarnalatha Gadhivan  (10 years ago)

total no.of cubes of 5 inch =25
number of painted cubes=16
25-16=9
no. of cubes which have no paint are 9

Is this solution Helpfull? Yes | No (7)  

PRADEEP KUMAR NAYAK  (10 years ago)

there will have total 125 cubes if we cut with 5unit cubes each and the painted cubes among all would be (5X5)+(5X5)+(3X5X2)+2=82. so the unpainted cubes would be 125-82=43

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sribardhan  (10 years ago)

(N-2)^3
= (5-2)^3
=27 Ans

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