Latest CTS Aptitude Question SOLUTION: Q. A cube of sides 9 is first painted red and then cut into smaller cubes of side 3. How many of the smaller cube have painted on exactly 2 sides? Option A) 30 B) 24 C) 12 D) 8

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Q. A cube of sides 9 is first painted red and then cut into smaller cubes of side 3. How many of the smaller cube have painted on exactly 2 sides?
Option
A) 30
B) 24
C) 12
D) 8

Asked In CTS Soumya Ranjan Sahoo (10 years ago)

Solved Vivek Read Solution (5)

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Read Solution (5) :

Pradeep   (10 years ago)

n=side of big cube/side of small cube
and no. Of smaller cubes with two surfaces painted is (n-2)*12
(3-2)*12=12 ans

Is this solution Helpfull? Yes (7) | No (2)  

nandish  (10 years ago)

the question is,cube with 9units(9cm,9m..etc)painted with red,when divided into smaller cubes of 3units,what number of cubes has its two faces painted?

so answer is,only edged cubes will have 2 faces painted.That counts to 8 cubes,1 each in the edge of large cube.

Is this solution Helpfull? Yes (3) | No (2)  

Vivek  (10 years ago)

@NANDISH...sorry bro, read the question carefully. It asked to find out the no of smaller cubes which hav painted on xactly 2 sides.

Answer is 12.
Bcoz, corner part hav painted 3 sides.
Only middle part is painted xactly 2 side.

Means, six sides and 2 cubes we will get for each side.

So, answer is 12.

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

shalu singh  (10 years ago)

ans:24
(n-2)12
(3-2)12=12

Is this solution Helpfull? Yes (2) | No (6)  

Aparupa Mishra  (10 years ago)

Shalu ji can u explain this solution plz..

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