Cube of 12
12 cubed equals 1728. Cubes show up in volume calculations — a cube with side 12 holds 1728 cubic units.
Cubes carry the fingerprint of their base. The final digit of 1728 is 8 — always the cube of the base's own final digit. Divided by 9, a cube only ever leaves 0, 1 or 8, and 1728 leaves 0. The volume picture explains the name: a 12 × 12 floor of unit cubes holds 144 of them, and 12 such layers stack to 1728 — the shape itself is the exponent at work. The gaps grow like a parabola: 1728 − 1331 = 397, which is 3 × 12 × 11 + 1 — each new layer wider than the last. Even base, even cube: 1728 keeps the parity of 12.
| Expression | Value |
|---|---|
| 12³ | 1728 |
Frequently asked questions
What is 12 cubed?
12 cubed is 1728, because 12 × 12 × 12 = 1728. The exponent 3 gives it the name "cube".
Why is it called a cube number?
Because it matches volume: a cube with side length 12 contains exactly 1728 unit cubes.
Is 1728 a perfect cube?
Yes — 1728 = 12³, so it is a perfect cube by definition.