# Verbal Reasoning - Cube and Cuboid

### Exercise :: Cube and Cuboid - Cube and Cuboid 2

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.
1.

How many small cubes will have only two faces coloured ?

 A. 12 B. 24 C. 16 D. 12

Explanation: Number of small cubes having only two faces coloured = 6 from the front + 6 from the back + 2 from the left + 2 from the right

= 16

2.

How many small cubes have three faces coloured ?

 A. 24 B. 20 C. 16 D. 8

Explanation: Such cubes are related to the corners of the cuboid and there are 8 corners.

Hence, the required number is 8.

3.

How many small cubes will have no face coloured ?

 A. 1 B. 2 C. 4 D. 8

Explanation: Number of small cubes have no face coloured = (4 - 2) x (3 - 2) = 2 x 1 = 2

4.

How many small cubes will have only one face coloured ?

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

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

= 4 + 4 + 2

= 10