Verbal Reasoning - Cube and Cuboid

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.
1. 

How many small cubes will have will have three faces coloured ?

A. 14
B. 8
C. 10
D. 12

Answer: Option B

Explanation:

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

Hence, the required number of small cubes is 8.


2. 

How many small cubes will have only one face coloured ?

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

Answer: Option C

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


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


4. 

How many small cubes will have two faces coloured with red and green colours ?

A. 12
B. 8
C. 16
D. 20

Answer: Option A

Explanation:

Required number of small cubes = 6 from the top and 6 from the bottom = 12