Verbal Reasoning - Cube and Cuboid

The following questions are based on the information given below:

  1. All the faces of cubes are painted with red colour.
  2. The cubes is cut into 64 equal small cubes.
1. 

How many small cubes have only one face coloured ?

A. 4
B. 8
C. 16
D. 24

Answer: Option D

Explanation:

Number of small cubes having only one face coloured = (x - 2)2 x No. of faces

= (4 - 2)2 x 6

= 24


2. 

How many small cubes have no faces coloured ?

A. 24
B. 8
C. 16
D. 0

Answer: Option B

Explanation:

Number of small cubes having only one faces coloured = (x - 2)3

Here, x = side of big cube / side of small cube

x = 4 /1

x = 4

Required number = (4 -2)3

= 8


3. 

How many small cubes are there whose three faces are coloured ?

A. 4
B. 8
C. 16
D. 24

Answer: Option B

Explanation:

Number of small cubes having three faces coloured = No. of corners = 8


4. 

How many small cubes are there whose two adjacent faces are coloured red ?

A. 0
B. 8
C. 16
D. 24

Answer: Option D

Explanation:

Number of small cubes having two adjacent faces coloured red = (x - 2) x No. of edges

= (4 - 2) x 12

= 24