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What is the cube root of 224 (∛224)? How do you estimate the cube root of 224? How do you calculate the approximate cube root of 224 without a calculator? How do you find the cube root of 224 with a calculator?

First things first! The cube root of 224 is the number that when multiplied by itself twice equals 224. In other words, the cube root of 224 is the A in the following notations: A × A × A or A³.

Here is how to calculate the approximate cube root of 224 without a calculator by using a cube root estimate formula.

We start by finding the perfect cube that is closest to 224. Looking at the list of perfect cubes at the bottom of this page, we can see that 216 is the closest perfect cube to 224.

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 = 224 and c = 216 into our cube root formula, we get the approximate cube root of 224 as follows:

∛n = ∛c + ((n - c) ÷ ((∛c)² × 3))

∛224 ≈ ∛216 + ((224 - 216) ÷ ((∛216)² × 3))

∛224 ≈ 6 + (8 ÷ 108)

∛224 ≈ 6.07

To get a more exact answer to the cube root of 224 using a calculator, we can press 224, followed by the [∛] button, to get this answer:

∛224 ≈ 6.07317794375132

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Cube root of 225
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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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