Latest TCS Aptitude Question SOLUTION: All faces of a cube with 8m edge are painted red.if cube is cut into smaller cubes of 2m edge,how many of the 2m edge have paint on exactly on one face? a)24 b)36 c)60 d)48

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All faces of a cube with 8m edge are painted red.if cube is cut into smaller cubes of 2m edge,how many of the 2m edge have paint on exactly on one face?
a)24
b)36
c)60
d)48

Asked In TCS reema sharma (11 years ago)

Unsolved Read Solution (8)

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Read Solution (8) :

Sagar Patil  (11 years ago)

after we cut into 2cm smaller cube we have 16 faces each side.
small cube on edge have 2 colored faces.
so total 12 faces have 2 color on each side.
thus only 4 faces have 1 color on each side.
as all the side are colored total side=6
no of only 1colored faces= 6*4=24

Is this solution Helpfull? Yes (16) | No (1)  

Sagar Patil  (11 years ago)

@ reema
well reema on nextstep.tcs answer given as 48 as you say.
but according to me 24 is the correct solution. and you can
verify as in my above expl..

as we cut the 8m cube into 2m small cube -there are total 64
small cubes.out which 8 are with no color.all the small cube
which are on edge have 2 colored face.32 such faces are thr.
as i expl above there are 24 1 colored face.
8+32+24=64 cubes. so i think 24 is correct answer.

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

reema sharma  (11 years ago)

correct ansr is 48..plz help me..

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

Tarun Namdev  (11 years ago)

answer is 24. 4 face on one side so 6 side is there which is 24.

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

atla sneha  (11 years ago)

24
because cube has 6 faces and each face has 4 cubes painted as 1 side red..so 6*4=24

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

Jalesingh yadav  (11 years ago)

after the cuts each face of cube have 16 faces
in these faces only 4 faces which are not adjacent to main cube edges have only one side painted
n a cube have 6 sides so total number of one side colored faces = 6*4 => 24

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

riya  (11 years ago)

it will be 6(n-2)^2= 36
as only one face painted.. for better explanation visit this site http://mathandmultimedia.com/tag/painted-cube-investigation/..

Is this solution Helpfull? Yes | No (4)  

M Ganesh Babu  (11 years ago)

its simple dude..
if cube is cut into smaller cubes of 2m edge
then on each face there will be 8 2m cubes(imagine) that
are colored on one face..the remaining are colored
twice or not colored. got it.

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