Estimate Cube Roots

Problem

Finding cube roots mentally is extremely difficult.

Solution

Memorize cubes 1-10, then find which two cubes the number falls between.

Benefit

Estimate cube roots within ±0.5 by knowing 10 reference points.

Example

Cubes to memorize:
1³=1, 2³=8, 3³=27, 4³=64, 5³=125
6³=216, 7³=343, 8³=512, 9³=729, 10³=1000

∛200:
125 < 200 < 216
5 < ∛200 < 6
200 is closer to 216, so ∛200 ≈ 5.8
(Actual: 5.85)