Verbal Reasoning - Cube and Cuboid - Discussion

The following questions are based on the information given below:

  1. A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.
  2. Two sides measuring 5 cm x 4 cm are coloured in red.
  3. Two faces measuring 4 cm x 3 cm are coloured in blue.
  4. Two faces measuring 5 cm x 3 cm are coloured in green.
  5. Now the block is divided into small cubes of side 1 cm each.

3. 

How many small cubes will have no faces coloured ?

[A]. None
[B]. 2
[C]. 4
[D]. 6

Answer: Option D

Explanation:

Required number of small cubes = (5 - 2) x (4 - 2) x (3 - 2)

= 3 x 2 x 1

= 6


Gowtham Reddy said: (Jan 15, 2012)  
All sides and faces are coloured. I did, t understand that where is the cube with out colour. Please explain me.

Shalini Sivanandam said: (Dec 26, 2013)  
Inner layer of the cube is not colored.

Priya said: (May 28, 2015)  
Please explain more.

Shofi said: (Jan 20, 2016)  
Its very easy.

No face colour formula (x-2)^3 this formula use only same cube value. But now we have L = 4, b = 3, c = 5.

So we have use (L-2)*(b-2)*(c-2).

Then apply the value (4-2)*(3-2)*(5-2) = 2*1*3 = 6.

Kannan said: (Dec 2, 2020)  
Then the formula for cube no face painted is? Please, anyone, explain.

Lokii said: (Dec 7, 2021)  
@All.

I think it should be 12 then because inside we have uncolored 6x2 cubes.

Correct me, if I am wrong.

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