Cube of 17
17 cubed equals 4913. Cubes show up in volume calculations — a cube with side 17 holds 4913 cubic units.
Cubes carry the fingerprint of their base. The final digit of 4913 is 3 — always the cube of the base's own final digit. Divided by 9, a cube only ever leaves 0, 1 or 8, and 4913 leaves 8. The volume picture explains the name: a 17 × 17 floor of unit cubes holds 289 of them, and 17 such layers stack to 4913 — the shape itself is the exponent at work. The gaps grow like a parabola: 4913 − 4096 = 817, which is 3 × 17 × 16 + 1 — each new layer wider than the last. Odd base, odd cube: 4913 stays odd, as 17 is.
| Expression | Value |
|---|---|
| 17³ | 4913 |
Frequently asked questions
What is 17 cubed?
17 cubed is 4913, because 17 × 17 × 17 = 4913. The exponent 3 gives it the name "cube".
Why is it called a cube number?
Because it matches volume: a cube with side length 17 contains exactly 4913 unit cubes.
Is 4913 a perfect cube?
Yes — 4913 = 17³, so it is a perfect cube by definition.