Cube of 16
16 cubed equals 4096. Cubes show up in volume calculations — a cube with side 16 holds 4096 cubic units.
Cubes carry the fingerprint of their base. The final digit of 4096 is 6 — always the cube of the base's own final digit. Divided by 9, a cube only ever leaves 0, 1 or 8, and 4096 leaves 1. The volume picture explains the name: a 16 × 16 floor of unit cubes holds 256 of them, and 16 such layers stack to 4096 — the shape itself is the exponent at work. The gaps grow like a parabola: 4096 − 3375 = 721, which is 3 × 16 × 15 + 1 — each new layer wider than the last. Even base, even cube: 4096 keeps the parity of 16.
| Expression | Value |
|---|---|
| 16³ | 4096 |
Frequently asked questions
What is 16 cubed?
16 cubed is 4096, because 16 × 16 × 16 = 4096. The exponent 3 gives it the name "cube".
Why is it called a cube number?
Because it matches volume: a cube with side length 16 contains exactly 4096 unit cubes.
Is 4096 a perfect cube?
Yes — 4096 = 16³, so it is a perfect cube by definition.