Latest TCS Aptitude Question SOLUTION: All faces of a cube with an eight - meter edge are painted red. If the cube is cut into smaller cubes with a two - meter edge, how many of the two meter cubes have paint on exactly

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All faces of a cube with an eight - meter edge are painted red. If the cube is cut into smaller cubes with a two - meter edge, how many of the two meter cubes have paint on exactly one face?
(a) 24
(b) 36
(c) 60
(d) 48
05

Asked In TCS souvik das (11 years ago)

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Uday Aditya  (11 years ago)

no. of cubes(2 metre)per face = 16 so each face has 12 parts which have faces shared with other lateral sides of cube i.e left over 2m cubes on each
face = 16-12=4
no. of faces = 6
total 2m cubes with only one face painted = 4*6 =24

I am a learner if u find this solution wrong. U can always correct me. Thanks in advance.

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RAHUL BHUSHAN  (11 years ago)

on each side of the cube there remains 4 cube which are not shared by any other cube; since the cube has 6 sides, so total no of the cube which are painted exactly on a side is=>4x6=24

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yeginati haribabu  (11 years ago)

length of cube=8 mts
length of each small cube=2 mts
now consider n=8/2=4
so, total no.of small cubes=n^3=4^3=64
no.of cubes have paint on exactly one cube=12(n-2)=12*2=24

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teza  (11 years ago)

total number of cubes with one side painting is given by 6×(n−2)2. Here side of the bigger cube is 8, and small cube is 2. So there are 4 cubes lie on an edge. Hence answer = 24(n=4)

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