---

What is the cube root of 31 (∛31)? How do you estimate the cube root of 31? How do you calculate the approximate cube root of 31 without a calculator? How do you find the cube root of 31 with a calculator?

First things first! The cube root of 31 is the number that when multiplied by itself twice equals 31. In other words, the cube root of 31 is the A in the following notations: A × A × A or A³.

Here is how to calculate the approximate cube root of 31 without a calculator by using a cube root estimate formula.

We start by finding the perfect cube that is closest to 31. Looking at the list of perfect cubes at the bottom of this page, we can see that 27 is the closest perfect cube to 31.

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 = 31 and c = 27 into our cube root formula, we get the approximate cube root of 31 as follows:

∛n = ∛c + ((n - c) ÷ ((∛c)² × 3))

∛31 ≈ ∛27 + ((31 - 27) ÷ ((∛27)² × 3))

∛31 ≈ 3 + (4 ÷ 27)

∛31 ≈ 3.14

To get a more exact answer to the cube root of 31 using a calculator, we can press 31, followed by the [∛] button, to get this answer:

∛31 ≈ 3.14138065239139

Cube Root Calculator
We can do more than calculate the cube root of 31. Enter another cube root below for us to work on!

∛

=

Cube root of 32
Here is the next cube root on our list that we have calculated for you.

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.

---

---

Copyright  |   Privacy Policy  |   Disclaimer  |   Contact