Cube of 1
1 cubed equals 1. Cubes show up in volume calculations — a cube with side 1 holds 1 cubic units.
Cubes carry the fingerprint of their base. The final digit of 1 is 1 — always the cube of the base's own final digit. Divided by 9, a cube only ever leaves 0, 1 or 8, and 1 leaves 1. The volume picture explains the name: a 1 × 1 floor of unit cubes holds 1 of them, and 1 such layers stack to 1 — the shape itself is the exponent at work. The gaps grow like a parabola: 1 − 0 = 1, which is 3 × 1 × 0 + 1 — each new layer wider than the last. Odd base, odd cube: 1 stays odd, as 1 is.
| Expression | Value |
|---|---|
| 1³ | 1 |
Frequently asked questions
What is 1 cubed?
1 cubed is 1, because 1 × 1 × 1 = 1. The exponent 3 gives it the name "cube".
Why is it called a cube number?
Because it matches volume: a cube with side length 1 contains exactly 1 unit cubes.
Is 1 a perfect cube?
Yes — 1 = 1³, so it is a perfect cube by definition.