Latest TCS Aptitude Question SOLUTION: A hollow cube of size 5 cm is taken,with a thichness of 1 cm.It is made of smaller cube of size 1 cm.if 4 faces of the outer surface of the cube are painted,total how many faces o

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A hollow cube of size 5 cm is taken,with a thichness of 1 cm.It is made of smaller cube of size 1 cm.if 4 faces of the outer surface of the cube are painted,total how many faces of the smaller cube remain unpainted?

Asked In TCS Ananya Banerjee (12 years ago)

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Pavithra  (12 years ago)

The big cube is completely hollow.. But, the thickness of
its side is 1cm & this is made up of smaller cubes.

Just like the walls of a room. The room is hollow, but, its
thickness is due to smaller bricks. The 4 walls of this room
is painted from the outside. And, you are asked totally how
many sides of all the bricks are now unpainted.

First, you need to know how many bricks (small cubes) are there.

Size of big cube = 5cm
Total volume of the big cube = 5*5*5 = 125cm^3

Size of the hollow cube inside the big cube = 3cm
Volume of the hollow space inside the big cube = 3*3*3 = 27cm^3

Therefore, volume occupied by small cubes (or volume of
thickness) = 125 - 27 = 98cm^3

Size of each small cube = 1cm
Volume of each small cube = 1*1*1 = 1cm^3
Total number of small cubes in wall = 98 / 1 = 98

In short, 98 small cubes make up the wall of the big cube.
Each cube has 6 faces, so 98 cubes have = 98*6 faces = 588

The four sides of the big cube have 100 painted faces.
Because each big side has 25 faces of the small cubes.

Therefore, total unpainted faces = 588 - 100 = 488

Is this solution Helpfull? Yes (13) | No   

Praveen J  (12 years ago)

The answer is 488.

Is this solution Helpfull? Yes (4) | No (1)  

Germanjit Randhawa  (12 years ago)

bigger cube is hollow
so smaller cube will be made up of only surface material of bigger cube
4 faces of bigger cube got painted before
2 faces left
material from dese two faces will get us number f unpainted faces
area of one face= 5*5= 25
dere r 2 faces
so answer is 50

Is this solution Helpfull? Yes (2) | No (5)  

Ramya  (12 years ago)

50. Each surface has 25 small surfaces. Thus 25 x 2=50.

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

ashish  (12 years ago)

50 or 10 ,each surface has either 10 or 50 small cube

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

trusha koranne  (12 years ago)

answer is 2

Is this solution Helpfull? Yes | No (6)  

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