Latest Infosys Aptitude Question SOLUTION: A large cube is painted on all sides with Red color. It is then cut into 27 small cubes. How many sides of the cube will have... a) 3 red faces. b) 2 red faces. c) 1 red face. d)

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A large cube is painted on all sides with Red color. It is then cut into 27 small cubes.
How many sides of the cube will have...
a) 3 red faces.
b) 2 red faces.
c) 1 red face.
d) No red faces.

Asked In Infosys Yashar (13 years ago)

Unsolved Read Solution (5)

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Read Solution (5) :

Harish N  (13 years ago)

3*3*3=27
ans:
a) 1*8=8 (1 small cube at each corner)
b) 1*12=12 (1 small cube at each edge)
c) 1*6=6 (1 small cube at each face)
d) 27-(8+12+6)=1

Is this solution Helpfull? Yes (12) | No (3)  

Dundi  (13 years ago)

A) 3 red faces

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Amrit  (13 years ago)

3red:8 all corners
2red:12
1red:6
no red:1(center)

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raghunath reddy  (13 years ago)

a) 8
b) 12
c) 6
d) 1

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haran  (10 years ago)

dividing the cube into 27 equal parts..=> side must be 3
Formula for these stuff is,
Colored on three faces = No of corners = 8
Colored on two faces = (n-2)*no of edges = 12(n-2)
Colored on one face = (n-2)^2 * no of surfaces = 6(n-2)^2
Colored on none = (n-2)^3
...So in the above question n=3..
Answers are, 8,12,6,1 respectively..

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