An Introduction to Cube Numbers

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 3rd 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 4th Cube Number

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

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

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

Cubing Notation

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

This can be written like this: 33 = 27.

Because 33 means 3x3x3.


Similarly, 43 = 4x4x4, which comes to 64.

So you can find the 4th cube number by finding 43.

And the 5th cube number by finding 53.

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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