Latest Wipro Aptitude Question SOLUTION: A cube painted yellow on all faces in cut in to 27 small cubes of equal sizes.How many cubes are painted on one face only? A)1 B)6 C)8 D)12

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A cube painted yellow on all faces in cut in to 27 small cubes of equal sizes.How many cubes are painted on one face only?
A)1 B)6 C)8 D)12

Asked In Wipro (12 years ago)

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Read Solution (3) :

rema  (8 years ago)

a cube is cut into 27 small cubes..
which means side=3
so one face will have =3*3=9 small cubes
from the 9 small cubes 8 are painted 2 or 3 sides..remaining is one
one face =1
6 face =6

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vamshi  (6 years ago)

each side has only one cube which is painted on one side. as cube has six faces, 6*1 =6.

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indranil das  (4 years ago)

The center square/cube will be painted on one face
The 4 cubes on 4 sides of this center cube are painted on 2 faces
The 4 cubes on the 4 corners of the center cube are painted on 3 faces

But we still have to look at the center slice of the cube.
Here we'll have a total of 4 center cubes with one face painted
And, 4 edge cubes painted on 2 faces

But this only adds to 26 cubes. The 27th cube is the very center of the Rubik's cube which is not painted at all.

So, in total, 6 cubes are painted on 1 face and 1 cube is not painted on any face.

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