Cubes 1 to 20
The cubes of numbers from 1 to 20 range from 1³ = 1 to 20³ = 8000. A cube number is a whole number multiplied by itself three times (n × n × n). The full table is below.
Cubes of 1 to 20 (n and n³)
| Number (n) | Cube (n³) |
|---|---|
| 1 | 1 |
| 2 | 8 |
| 3 | 27 |
| 4 | 64 |
| 5 | 125 |
| 6 | 216 |
| 7 | 343 |
| 8 | 512 |
| 9 | 729 |
| 10 | 1000 |
| 11 | 1331 |
| 12 | 1728 |
| 13 | 2197 |
| 14 | 2744 |
| 15 | 3375 |
| 16 | 4096 |
| 17 | 4913 |
| 18 | 5832 |
| 19 | 6859 |
| 20 | 8000 |
What is a cube number?
A cube number is a whole number multiplied by itself three times. The cube of 4 is 4 × 4 × 4 = 64, written 4³. It is called a 'cube' because that many unit blocks can be stacked into a perfect cube — 64 blocks make a 4-by-4-by-4 cube.
Cubes appear in volume calculations, cube roots, and many algebra identities, so having 1³ to 20³ ready saves time throughout senior maths.
A useful pattern
The sum of the first n cubes equals the square of the sum of the first n numbers. For example 1³ + 2³ + 3³ = 36 = (1 + 2 + 3)². It is one of the most elegant patterns in early number theory.
Worked examples
Find 13³.
- 13³ = 13 × 13 × 13
- 13 × 13 = 169
- 169 × 13 = 2197.
Want the patterns behind cubes and roots to actually stick? Try a 1-to-1 maths session.
Related concepts
Frequently asked questions
20³ = 20 × 20 × 20 = 8000.
A square multiplies a number by itself once more (n² = n × n); a cube multiplies it by itself twice more (n³ = n × n × n). So 5² = 25 but 5³ = 125.