Verbal Reasoning - Cube and Cuboid - Discussion

The following questions are based on the information given below:

  1. There is a cuboid whose dimensions are 4 x 3 x 3 cm.
  2. The opposite faces of dimensions 4 x 3 are coloured yellow.
  3. The opposite faces of other dimensions 4 x 3 are coloured red.
  4. The opposite faces of dimensions 3 x 3 are coloured green.
  5. Now the cuboid is cut into small cubes of side 1 cm.

4. 

How many small cubes will have only one face coloured ?

[A]. 10
[B]. 12
[C]. 14
[D]. 18

Answer: Option A

Explanation:

Number of small cubes having only one face coloured = 2 x 2 + 2 x 2 + 2 x 1

= 4 + 4 + 2

= 10


Roshan said: (Nov 7, 2011)  
Can someone explain it more clearly ?

Dhana said: (Jan 9, 2012)  
I did not understand.

Gaurav said: (Sep 28, 2013)  
For red 2 from top and 2 from bottom.

For green 1 from side and 1 from backside.

For yellow 2 from front and 2 from back.

Therefore, 4+2+4=10.

Rahim said: (Dec 2, 2014)  
Can we use any formula?

Sabiar said: (May 12, 2016)  
Anybody give me the actual formula to solve this problem.

Mahesh said: (Nov 21, 2016)  
The new l,b,h is (L-2),(b-2),(h-2), then perform lb +bh+hl.
After that multiply by 2 for this question new l,b,h after subtracting it from 2 is, 2, 1, 2....2 * 1 + 1 * 1 + 1* 2 = 5 multiply it by two (5 * 2 = 10 ans).

Alina said: (Dec 13, 2017)  
We can simplify it as;

5 [(l-2). (b-2) +(b-2). (h-2)+(h-2). (l-2)] .
*this formula is applied only if the small cube formed has its side as unity.

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