# How Cube Numbers Bring the Real World to Life

In this lesson, you will understand what Cube Numbers are and how you can use them. Plus, you’ll learn how to work out simple calculations for cube numbers and the special notation used.

## How Do You Make Cube Numbers Anyway?

Look at this example:

Suppose you have one cube on the table:

You can add 7 more to make a larger cube having 8 small cubes

And add another 19 to make an even larger cube:

## Finding the Number of Cubes

You can find the total number of cubes in the 3^{rd} cube number like this:

The base of this cube has 3 × 3 = 9 cubes.

And since there are three layers we get 9 × 3 = 27 cubes.

## The 4^{th} Cube Number

Similarly, to find the 4^{th} cube number you find 4 x 4, which is 16 and multiply that by 4.

So 16 x 4 = 64 is the 4^{th} cube number.

The first four cube numbers are therefore 1, 8, 27, 64.

## Cubing Notation

We can find the 3^{rd} cube number by finding 3x3x3, which comes to 27.

This can be written like this: 3^{3} = 27.

Because 3^{3} means 3x3x3.

Similarly, 4^{3} = 4x4x4, which comes to 64.

So you can find the 4^{th} cube number by finding 4^{3}.

And the 5^{th} cube number by finding 5^{3}.

## Summary of Sequences

Here are the four number sequences we’ve studied so far.

**Prime Numbers:** 2, 3, 5, 7, 11, 13 . . .

**Square numbers:** 1, 4, 9, 16, 25, 36 . . .

**Triangle Numbers:** 1, 3, 6, 10 . . .

**Cube Numbers:** 1, 8, 27, 64 . . .

These are among the most basic number patterns to understand. There are several more types of numbers sequences like these ones above.

In fact, mathematics is all about patterns.

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Jayashree MohanI enjoy doing this with techniques such as number splitting, etc. that you taught for speedy mental calculations as the numbers get bigger.

KWYou can learn many powerful techniques at Math2020. Be sure to look out for our new posts. You might like to check this Math2020 Kindle book on Amazon:

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