Cube of 5
5 cubed equals 125. Cubes show up in volume calculations — a cube with side 5 holds 125 cubic units.
Cubes carry the fingerprint of their base. The final digit of 125 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 125 leaves 8. The volume picture explains the name: a 5 × 5 floor of unit cubes holds 25 of them, and 5 such layers stack to 125 — the shape itself is the exponent at work. The gaps grow like a parabola: 125 − 64 = 61, which is 3 × 5 × 4 + 1 — each new layer wider than the last. Odd base, odd cube: 125 stays odd, as 5 is.
| Expression | Value |
|---|---|
| 5³ | 125 |
Frequently asked questions
What is 5 cubed?
5 cubed is 125, because 5 × 5 × 5 = 125. The exponent 3 gives it the name "cube".
Why is it called a cube number?
Because it matches volume: a cube with side length 5 contains exactly 125 unit cubes.
Is 125 a perfect cube?
Yes — 125 = 5³, so it is a perfect cube by definition.