Verbal Reasoning - Cube and Cuboid - Discussion

The following questions are based on the information given below:

  1. All the faces of cubes are painted with red colour.
  2. The cubes is cut into 64 equal small cubes.

2. 

How many small cubes have no faces coloured ?

[A]. 24
[B]. 8
[C]. 16
[D]. 0

Answer: Option B

Explanation:

Number of small cubes having only one faces coloured = (x - 2)3

Here, x = side of big cube / side of small cube

x = 4 /1

x = 4

Required number = (4 -2)3

= 8


Fathima said: (Jun 21, 2013)  
I can't understand. But they gave the condition like "All the faces of cubes are painted with red colour". Please explain me.

Thanks in Advance.

Alen said: (Sep 28, 2013)  
Its talks about the small CUBES which is inside the BIG CUBE, a 2X2X2 cube will be there inside the big cube remain unpainted !hence the answer 8. hope its helpful :)

Anjali said: (Jun 8, 2020)  
The number of cubes with 0 side painted = (x-2)^3.
As x=4(∛64) ,ans is (4-2)^3=8.

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