# 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.

2.

How many small cubes will have only one face coloured ?

 [A]. 12 [B]. 28 [C]. 22 [D]. 16

Explanation: 2 from the front + 2 from the back + 3 from the left + 3 from the right + 6 from the top + 6 from the bottom = 22

 Santhosh said: (Jan 1, 2012) But according to l*2 + b*2 + h*2 =24???

 Lalit Ku Sahu said: (May 27, 2014) For cube: One face coloured= 6*(n-2)^2. = 6*(n-2)*(n-2). Similarly for CUBOID (4*3*5): One face coloured = 2*(L-2)*(B-2)+2*(B-2)*(H-2)+2*(H-2)*(L-2). =2*(4-2)*(3-2)+2*(3-2)*(5-2)+2*(5-2)*(4-2). = 2*2*1 + 2*1*3 + 2*3*2. = 4 + 6 + 12. = 22 ANSWER.

 Mohit said: (Aug 1, 2020) @Lalit. Why you subtracting 2?