Cube of 15
15 cubed equals 3375. Cubes show up in volume calculations — a cube with side 15 holds 3375 cubic units.
Cubes carry the fingerprint of their base. The final digit of 3375 is 5 — always the cube of the base's own final digit. Divided by 9, a cube only ever leaves 0, 1 or 8, and 3375 leaves 0. The volume picture explains the name: a 15 × 15 floor of unit cubes holds 225 of them, and 15 such layers stack to 3375 — the shape itself is the exponent at work. The gaps grow like a parabola: 3375 − 2744 = 631, which is 3 × 15 × 14 + 1 — each new layer wider than the last. Odd base, odd cube: 3375 stays odd, as 15 is.
| Expression | Value |
|---|---|
| 15³ | 3375 |
Frequently asked questions
What is 15 cubed?
15 cubed is 3375, because 15 × 15 × 15 = 3375. The exponent 3 gives it the name "cube".
Why is it called a cube number?
Because it matches volume: a cube with side length 15 contains exactly 3375 unit cubes.
Is 3375 a perfect cube?
Yes — 3375 = 15³, so it is a perfect cube by definition.