Cubes and cube roots table
The cubes and cube roots of the numbers 1 through 20. Cubing multiplies a number by itself three times; the cube root is the reverse. Perfect cubes have whole-number roots.
Cubes and cube roots (1 to 20)
| n | n³ (cube) | ∛n (cube root) |
|---|---|---|
| 1 | 1 | 1.0000 |
| 2 | 8 | 1.2599 |
| 3 | 27 | 1.4422 |
| 4 | 64 | 1.5874 |
| 5 | 125 | 1.7100 |
| 6 | 216 | 1.8171 |
| 7 | 343 | 1.9129 |
| 8 | 512 | 2.0000 |
| 9 | 729 | 2.0801 |
| 10 | 1,000 | 2.1544 |
| 11 | 1,331 | 2.2240 |
| 12 | 1,728 | 2.2894 |
| 13 | 2,197 | 2.3513 |
| 14 | 2,744 | 2.4101 |
| 15 | 3,375 | 2.4662 |
| 16 | 4,096 | 2.5198 |
| 17 | 4,913 | 2.5713 |
| 18 | 5,832 | 2.6207 |
| 19 | 6,859 | 2.6684 |
| 20 | 8,000 | 2.7144 |
A perfect cube is a number with a whole-number cube root, such as 1, 8, 27, 64, and 125. Unlike square roots, cube roots are defined for negative numbers too, since a negative times a negative times a negative is negative.
Need squares too?
See the Squares and Square Roots Table.
Cubes and cube roots
Cubing a number multiplies it by itself three times: 4 cubed is 4 times 4 times 4, which is 64. The cube root reverses this, so the cube root of 64 is 4. Cubes grow much faster than squares, which is why this table reaches large values quickly.
Cube roots of negatives
Every real number has exactly one real cube root, including negatives. The cube root of negative 27 is negative 3, because negative 3 cubed is negative 27. This is unlike square roots, where negative numbers have no real root, making cube roots a little more forgiving.
FAQ
What is a perfect cube?
A number whose cube root is a whole number, such as 27 (root 3) or 125 (root 5).
Can you take the cube root of a negative number?
Yes. The cube root of a negative number is negative; for example, the cube root of negative 8 is negative 2.
What is the cube of 10?
1,000. Ten cubed is 10 times 10 times 10.