# 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

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.