# Verbal Reasoning - Cube and Cuboid

### Exercise :: Cube and Cuboid - Cube and Cuboid 4

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

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

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

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

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

= (4 - 2) x 12

= 24