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What is the cube root of 216 (∛216)? How do you estimate the cube root of 216? How do you calculate the approximate cube root of 216 without a calculator? How do you find the cube root of 216 with a calculator?

First things first! The cube root of 216 is the number that when multiplied by itself twice equals 216. In other words, the cube root of 216 is the A in the following notations: A × A × A or A³.

Here is how to calculate the approximate cube root of 216 without a calculator by using a cube root estimate formula.

We start by finding the perfect cube that is closest to 216. Looking at the list of perfect cubes at the bottom of this page, we can see that 216 is the closest perfect cube to 216.

The formula to estimate the cube root of any number (n) using the closest perfect cube (c) is as follows:

∛n = ∛c + ((n - c) ÷ ((∛c)² × 3))

When we enter n = 216 and c = 216 into our cube root formula, we get the approximate cube root of 216 as follows:

∛n = ∛c + ((n - c) ÷ ((∛c)² × 3))

∛216 = ∛216 + ((216 - 216) ÷ ((∛216)² × 3))

∛216 = 6 + (0 ÷ 108)

∛216 = 6

To get the cube root of 216 using a calculator, we can press 216, followed by the [∛] button, to get this answer:

∛216 = 6

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Cube root of 217
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Here is a list of the first 50 perfect cubes. We recommend you study and learn the pattern so you can easily approximate the cube root of any number in the future.

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