Latest TCS Aptitude Question SOLUTION: All faces of a cube with an 8medge are painted. When the cube is cut into two smaller cubes with 2m edge how many of the 2m cubes have paint on exactly one face?

• Placement Papers
• /
• TCS

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40025438) TCS question Keep an EYE

All faces of a cube with an 8medge are painted. When the cube is cut into two smaller cubes with 2m edge how many of the 2m cubes have paint on exactly one face?

Asked In TCS karthika (10 years ago)

Unsolved Read Solution (8)

Is this Puzzle helpful?   (4)   (1) Submit Your Solution

Read Solution (8) :

Vishwadeep Solpankhi  (10 years ago)

when 8m cube is cutted into 2m cubes then each surface gives 4 cubes of exactly one face printed.
and cube has 6 faces then
no. of smaller cubes of exactly one face painted = 6*4 = 24

Is this solution Helpfull? Yes (30) | No   

Arun  (10 years ago)

Formula for finding exactly one face painted in cube is
6(n-2)^2
So that 4 cubes are lies on edge when cutting 2m edged cube from 8m edge

6(4-2)^2=24

Is this solution Helpfull? Yes (8) | No (1)  

Shivrasj R Chaudhari  (10 years ago)

Cutting the cube into smaller cubes of 2m edge,leaves 4 one faced color cubes.
so on 6 side there will be total 24 cubes with only single face colored.

Is this solution Helpfull? Yes (3) | No   

Ann Mary Jolly  (10 years ago)

When an 8m cube is cut into 2m cubes,there will be 4^3 = 64 cubes.
Out of this,(2*2)*6 = 24 cubes would be painted exactly on one face.
The reason is that,taking any square face,of the big cube and imagining that it
constitutes of 4*4 = 16 squares,except those outer squares,rest will be
painted exactly on one face,ie. each face has 2*2=4 such cubes.
So in total,there would be 6*4 = 24 such cubes.

Is this solution Helpfull? Yes (3) | No (1)  

Arth Gupta  (10 years ago)

4 on each face so total= 24

Is this solution Helpfull? Yes (3) | No   

rakesh  (10 years ago)

Only the CENTER four faces on each side will have a Single colour..
therefore 6*4=24.

Is this solution Helpfull? Yes (2) | No   

Arjun  (10 years ago)

Ans=24;
we know that all faces in cube are 6 ;
Here only 1 face painted are 4 on each face;
so total =6*4 = 24 ;

Is this solution Helpfull? Yes (1) | No   

Kunal Verma  (10 years ago)

each edge of a cube would be having 16 small cube faces....of these 16 faces located at boundaries (12 such) would have more than 1 faces painted......this leaves us with 4 faces....and a cube has 6 edges so total nos of facees = 6*4=24

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.