Squares & Cubes
Reference Table
Quick reference for perfect squares (n²) and perfect cubes (n³) from 1 to 100.
| n | n² | n³ | n | n² | n³ |
|---|---|---|---|---|---|
| 1 | 1 | 1 | 14 | 196 | 2744 |
| 2 | 4 | 8 | 15 | 225 | 3375 |
| 3 | 9 | 27 | 16 | 256 | 4096 |
| 4 | 16 | 64 | 17 | 289 | 4913 |
| 5 | 25 | 125 | 18 | 324 | 5832 |
| 6 | 36 | 216 | 19 | 361 | 6859 |
| 7 | 49 | 343 | 20 | 400 | 8000 |
| 8 | 64 | 512 | 21 | 441 | 9261 |
| 9 | 81 | 729 | 22 | 484 | 10648 |
| 10 | 100 | 1000 | 23 | 529 | 12167 |
| 11 | 121 | 1331 | 24 | 576 | 13824 |
| 12 | 144 | 1728 | 25 | 625 | 15625 |
| 13 | 169 | 2197 |
Understanding Squares and Cubes
Perfect Squares (n²)
A perfect square is a number that can be expressed as n × n. For example, 16 = 4 × 4 = 4². The square root of 16 is 4.
Perfect Cubes (n³)
A perfect cube is a number that can be expressed as n × n × n. For example, 27 = 3 × 3 × 3 = 3³. The cube root of 27 is 3.
Quick Patterns
Squares of numbers ending in 5 always end in 25 (15² = 225, 25² = 625). The difference between consecutive squares increases by 2 each time.
Common Uses
Squares are used in area calculations, the Pythagorean theorem, and statistics. Cubes are used for volume calculations and in physics equations.