# Verbal Reasoning - Cube and Cuboid

Exercise : Cube and Cuboid - Cube and Cuboid 4

- Cube and Cuboid - Introduction
- Cube and Cuboid - Cube and Cuboid 1
- Cube and Cuboid - Cube and Cuboid 2
- Cube and Cuboid - Cube and Cuboid 3
- Cube and Cuboid - Cube and Cuboid 4
- Cube and Cuboid - Cube and Cuboid 5
- Cube and Cuboid - Cube and Cuboid 6
- Cube and Cuboid - Cube and Cuboid 7
- Cube and Cuboid - Cube and Cuboid 8
- Cube and Cuboid - Cube and Cuboid 9

*Directions to Solve*

The following questions are based on the information given below:

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

1.

How many small cubes have only one face coloured ?

Answer: Option

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 ?

Answer: Option

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 ?

Answer: Option

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 ?

Answer: Option

Explanation:

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

= (4 - 2) x 12

= 24

Quick links

Quantitative Aptitude

Verbal (English)

Reasoning

Programming

Interview

Placement Papers