Cube of 8
8 cubed equals 512. Cubes show up in volume calculations — a cube with side 8 holds 512 cubic units.
Cubes carry the fingerprint of their base. The final digit of 512 is 2 — always the cube of the base's own final digit. Divided by 9, a cube only ever leaves 0, 1 or 8, and 512 leaves 8. The volume picture explains the name: a 8 × 8 floor of unit cubes holds 64 of them, and 8 such layers stack to 512 — the shape itself is the exponent at work. The gaps grow like a parabola: 512 − 343 = 169, which is 3 × 8 × 7 + 1 — each new layer wider than the last. Even base, even cube: 512 keeps the parity of 8.
| Expression | Value |
|---|---|
| 8³ | 512 |
Frequently asked questions
What is 8 cubed?
8 cubed is 512, because 8 × 8 × 8 = 512. The exponent 3 gives it the name "cube".
Why is it called a cube number?
Because it matches volume: a cube with side length 8 contains exactly 512 unit cubes.
Is 512 a perfect cube?
Yes — 512 = 8³, so it is a perfect cube by definition.