Cube of 4
4 cubed equals 64. Cubes show up in volume calculations — a cube with side 4 holds 64 cubic units.
Cubes carry the fingerprint of their base. The final digit of 64 is 4 — always the cube of the base's own final digit. Divided by 9, a cube only ever leaves 0, 1 or 8, and 64 leaves 1. The volume picture explains the name: a 4 × 4 floor of unit cubes holds 16 of them, and 4 such layers stack to 64 — the shape itself is the exponent at work. The gaps grow like a parabola: 64 − 27 = 37, which is 3 × 4 × 3 + 1 — each new layer wider than the last. Even base, even cube: 64 keeps the parity of 4.
| Expression | Value |
|---|---|
| 4³ | 64 |
Frequently asked questions
What is 4 cubed?
4 cubed is 64, because 4 × 4 × 4 = 64. The exponent 3 gives it the name "cube".
Why is it called a cube number?
Because it matches volume: a cube with side length 4 contains exactly 64 unit cubes.
Is 64 a perfect cube?
Yes — 64 = 4³, so it is a perfect cube by definition.