Verbal Reasoning - Cube and Cuboid

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

Answer: Option C

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

Answer: Option D

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

Answer: Option B

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

Answer: Option A

Explanation:

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

= 4 + 4 + 2

= 10