Latest TCS Aptitude Question SOLUTION: 2. Find the minimum number of cubes with which one can construct a cube of dimension 25m x 20m x 15m a) 12 b) 20 c) 25 d) 17

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2. Find the minimum number of cubes with which one can construct a cube of dimension 25m x 20m x 15m

a) 12
b) 20
c) 25
d) 17

Asked In TCS ASD (10 years ago)

Unsolved Read Solution (14)

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Read Solution (14) :

ankit  (10 years ago)

first of all please correct your question ..beacuse length,height and width are always same in cube

Is this solution Helpfull? Yes (21) | No   

Smuti ranjan mahapatra  (10 years ago)

asit please answer the dimension of small cube.
i think 25*20*15 it should div by small cube i.e 5
if we take 5 then 60 cube required.

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

Asit Shukla  (10 years ago)

Is The Answer 20

Is this solution Helpfull? Yes (7) | No (1)  

Akshatha  (10 years ago)

ans is 12.
25x20x15=7500
if we factorize it, we get (2^2)*(3)*(5^4)
Hence min no.of cubes required are 12 of dimension 25mX5mX5m

Is this solution Helpfull? Yes (4) | No (7)  

shankar narayan v  (10 years ago)

C.25 because volume=7500 => 7500/25=300

Is this solution Helpfull? Yes (2) | No (1)  

SHIVANI  (10 years ago)

whats the ans ? my ans is 25
25*20*15= (5^4)*(2^2)*(3^1)=7500
total factors of 7500=(4+1)*(2+1)*(1+1)=30
now total no. of cubes would be 30-5 =25
here 5 cubes are subtracted because 6 cubes will have same dimensions of 25m,20m,15m therefore considered only one.

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Rishabh  (10 years ago)

It cant be a cube... as l*b*h is not same.. Are u kidding me..!

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ravishankar  (10 years ago)

according to option given it will be 17
17^3=4913 and the given vol of cuboid is 7500
no other option satisfies this as if we consider 12 then the no of cube will be more according to question it should be minimum.

ans is 17

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Akshatha  (10 years ago)

can any one solve this...

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sai venkata shiva  (10 years ago)

akshata how you got 12?

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smrutipurna   (10 years ago)

i donot get it.....plse expain it again plse

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Vishnu Kant Sharma  (10 years ago)

Firstly we had to find out length of a side of cube as cube will be made with cuboids having dimensions 25*20*15 so length of cube is=L.C.M.(25,20,15)=300.
so volume of such formed cube=300^3.
now volume of given cuboid is =25*20*15
therefore no. of cuboid required is (300^3)/(25*20*15)=3600 cuboids required.
so all options mentioned above are unfortunately wrong.

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Guru Pranav  (10 years ago)

Lol i think since smallest number is given,
20 cubes of 25m x 15m are required. But question is mistaken !!!

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RAHUL PRASAD  (9 years ago)

Ans is a...
Bciz 25*20*15=7500
It is divisible by 12 which is min..

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