In this chapter we are going to discuss the following topics with examples.

Introduction

Colored Cubes

Formula

Examples

### Introduction

In a cube there are six faces and its length, breadth and height are equal. Look at the below image to understand better.

### Colored Cubes 3×3 Cube

There are 27 small cubes in 3×3 cube. Among 27 cubes,

8 blocks with 3 sides painted

12 blocks with 2 sides painted

6 blocks with 1 side painted

1 blocks with 0 sides painted

(Refer below images for better understanding) ## If you are curious, you'll find the puzzles around you. If you are determined, you will solve them.

Erno Rubik

Formula to determine number of colored cubes ### Examples

Direction to solve Question no 1 to 4.

The following questions are based on the information given below:

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

1.  How many small cubes have only one face colored ?

a) 4      b) 8       c)16        d)24

2.  How many small cubes have no faces colored ?

a) 24      b)8          c)16        d)0

3.   How many small cubes are there whose three faces are colored?

a)4          b)8          c)16        d)24

4.  How many small cubes are there whose two adjacent faces are colored blue ?

a)0          b)8          c)16        d)24

Answers:

1-d)           2-b)8          3-b)8            4-d)24

Explanation :

Refer 4×4 cube in the above table.

Thus in this post we learned about the concepts of cubes and method to determine number of painted cubes.

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