Cube Root 1 to 50
2026-02-28 17:32 Diff
https://brightchamps.com/en-us/math/algebra/cube-root-1-to-50

420 Learners

Last updated on August 5, 2025

Cube root is a special value that, when multiplied three times by itself, gives the original number. Cube roots can help in solving equations, simplifying calculations, and understanding the volumes of cubes. In this topic, we will learn cube roots from 1 to 50 in a simple way with solved examples.

Cube Root 1 to 50

When multiplying a number three times gives the original number, it is known as a cube root. It is the reverse of finding the cube of a number. It is represented by the symbol ∛x, where x is the number. For example, ∛27 is 3 because by multiplying 3 by itself three times we will get the original value (27), 3 × 3 × 3 = 27.
 

Cube Root 1 to 50 Chart

Cube roots are useful for solving mathematical problems that involve volumes, especially for cubes and three-dimensional shapes. The below cube root chart shows the cube root values from 1 to 50.
 

  Number    Cube Root     Number     Cube Root 1 1 26 2.96 2 1.26 27 3 3 1.44 28 3.04 4 1.59 29 3.07 5 1.71 30 3.1 6 1.82 31 3.14 7 1.91 32 3.17 8 2 33 3.2 9 2.08 34 3.24 10 2.15 35 3.27 11 2.22 36 3.3 12 2.29 37 3.33 13 2.35 38 3.36 14 2.41 39 3.39 15 2.47 40 3.42 16 2.52 41 3.44 17 2.57 42 3.47 18 2.62 43 3.5 19 2.67 44 3.52 20 2.71 45 3.55 21 2.76 46 3.57 22 2.8 47 3.6 23 2.84 48 3.62 24 2.88 49 3.65 25 2.92 50 3.68

List of Cube Root 1 to 50

Listing the cube roots from 1 to 50 can help kids understand and learn the values of cube roots easily. Let's learn the list of cube roots from 1 to 50.

Cube Roots from 1 to 10

The cube roots of 1 to 10 consist of perfect cubes and approximate decimal values. Go through the given list below to learn the cube roots from 1 to 10.

Number Cube Root 1 1 2 1.26 3 1.44 4 1.59 5 1.71 6 1.82 7 1.91 8 2 9 2.08 10 2.15

Cube Roots from 11 to 20
Cube roots from 11 to 20 consist of non-perfect cubes with decimal approximations. Listed below are the cube roots from 11 to 20.

Numbers Cube Root 11 2.22 12 2.29 13 2.35 14 2.41 15 2.47 16 2.52 17 2.57 18 2.62 19 2.67 20 2.71

Cube Root from 21 to 30
The cube roots from 21 to 30 also involve perfect cubes and decimal approximation. The list below gives the correct value for the cube roots from 21 to 30.
 

Number Cube Root 21 2.76 22 2.8 23 2.84 24 2.88 25 2.92 26 2.96 27 3 28 3.04 29 3.07 30 3.1

Cube Roots from 31 to 40
The numbers in cube roots from 31 to 40 include approximation. The given list has the values of cube roots from 31 to 40.
 

Number Cube Root 31 3.14 32 3.17 33 3.2 34 3.24 35 3.27 36 3.3 37 3.33 38 3.36 39 3.39 40 3.42

Cube Roots from 41 to 50
The following lists show the values of cube roots from 41 to 50.

Number Cube Root 41 3.44 42 3.47 43 3.5 44 3.52 45 3.55 46 3.57 47 3.6 48 3.62 49 3.65 50 3.68

Explore Our Programs

Cube Root 1 to 50 for Perfect Cubes

When an integer is multiplied by itself, three times perfect cube is formed. The cube root of a perfect cube is always an integer. The perfect cubes from 1 to 50 are 1, 8, and 27.
 

Cube Root 1 to 50 for Non-Perfect Cubes

When we multiply a number three times by itself, and it does not result in integers, it is a non-perfect cube. All the numbers from 1 to 50 except 1, 8, and 27 are non-perfect cubes.
 

How to Calculate Cube Root 1 to 50

By calculating the cube roots from 1 to 50, we use the following two methods. They are,

  • By Prime Factorization Method
  • By Estimation Method
     

By Prime Factorization Method

The prime factorization method breaks down a number into its prime factors and finds the cube root. We can see clearly about this in the following steps.

Step 1: The given number is prime factorized

Step 2: List the factors and group the same factors in a group of 3

Step 3: Remove the cube root and multiply the factors. If a factor is left out that cannot be grouped, that means that is not a perfect cube. 

Let’s check the cube root of 27, 

Step 1: Prime factorization of 27 = 3 × 3 × 3

Step 2: Grouping the factors ∛(3 × 3 × 3)

Step 3: Cube root of 27 = 3 

By Estimation Method

In the estimation method, the cube root of the number is calculated by estimating the nearby perfect cubes.
Finding the cube root of 18

Step 1: We find the nearest perfect cubes 
The nearest perfect cubes of 18 are 8(23) and 27(32)

Step 2: Find the nearest number 
Here the nearest cube root is 8, so the cube root of 18 is near to 2.

Step 3: Estimate the value by cubing it
Checking the cube root by cubing. 2.13 = 9.261, 2.43 = 13.824, 2.63 = 17.576, 2.73 = 19.683.

So, the estimated value of the cube root of 18 is 2.62

Rules for Finding Cube Root from 1 to 50

As we discussed there are different methods to find the cube root of a number. So let’s discuss some of the basic rules to find the cube root from 1 to 50.

Rule 1: Exact Cubes
The exact cube is also known as the perfect cube. A perfect cube is a number when cubed gives the number. The exact cubes from 1 to 50 are 1(13), 8(23), 27(33).

Rule 2: Approximation for Non-Exact Cubes
In approximation, the cube root is calculated by estimating the nearest perfect cube. For instance, the cube root of 18 in the approximation method can be calculated by estimating the nearest perfect cubes. Here the nearest perfect cubes are 23(8) and 33(27), so the cube root of 18 is 2.62. 

Rule 3: Properties of Cube Roots

The cube of a negative number is always negative. That is ∛(-27 )= -3. When multiplying or dividing cube root we can split the numbers into its cube root and so the operations. For instance, ∛(27 × 8) = ∛27  × ∛8 and ∛(64 / 8) = ∛64 / ∛8.

Rule 4: Using Cube Root Formula

The formula to find the value of the cube root of a number is x = ∛y so, x = y1/3. Which means finding the value of the cube root of 27 using the formula. Here y = 27, so x = ∛27 = 3. 

Tips and Tricks for Cube Root 1 to 50

Now let’s learn a few tips and tricks for cube root 1 to 50. These tips and tricks can make the learning process easier and more interesting.

  • By memorizing the perfect cubes such as 1, 8, 27, and 64.
     
  • When finding the value of a non-perfect cube students can use the estimation method.
     
  • The cube root follows a pattern that is  Unit place of the number Unit place of the cube 0 0 2 8 3 7 4 4 5 5 6 6 7 3 8 2 9 9

Common Mistakes and How to Avoid Them in Cube Root 1 to 50

Mistakes are common when students find the value of the cube root of the number. In this section, we will learn some common mistakes which students often repeat.
 

Download Worksheets

Problem 1

The volume of a cube is 64 cubic cm. Find the length of one side

Okay, lets begin

The length of one side is 4 cm

Explanation

The volume of a cube is 64 cubic centimeters
Volume of the cube = s3
S3 = 64
S = ∛64  = 4 cm

Well explained 👍

Problem 2

The radius and height of a cylinder is 4 cm. Calculate the volume of a cylinder.

Okay, lets begin

The volume of the cylinder is 64π cubic centimeters

Explanation

The volume of the cylinder = πr2h
Here, r = 4 cm
h = 4 cm
Therefore, volume = πr2h = π × 42 × 4 = 64π cubic centimeter
 

Well explained 👍

Problem 3

A wooden block set contains 64 tiny cubes. If arranged into a large cube, how many cubes are on each edge?

Okay, lets begin

The number of cubes in each edge is 4
 

Explanation

 As all the sides of the cube are same. To find the number of small cubes in each edge, we find the cube root of 64.
Number of tiny cubes in each edge = ∛64 = 4 

Well explained 👍

Problem 4

A box contains 8 oranges arranged in a cube shape. How many oranges are in each row?

Okay, lets begin

Each row has 2 oranges per row
 

Explanation

To find the number of oranges in a row we find the cube root of 8
That is ∛8 = 2 

Well explained 👍

Problem 5

A coffee shop arranges 125 sugar cubes in a cube formation. Find the number of cubes per row.

Okay, lets begin

 The number of cubes in a row is 5
 

Explanation

To find the cube in a row we find the cube root of 125
So, the number of cubes in a row = ∛125 = 5

Well explained 👍

FAQs on Cube Root 1 to 50

1.What is a cube root?

The cube root of a number is a number which when multiplied by itself results in the number. The cube root of 27 is 3, that is 3 × 3 × 3.
 

2.What is 27 cube root?

The cube root of 27 is 3, that means 3 × 3 × 3 = 27
 

3.What is the symbol of cube root?

The cube root is represented using the symbol ∛

4.Can the cube root of a number be negative?

Yes, cube root of a negative number is always negative. For example, ∛       (-64) = -4  

5.How many perfect cubes are there between 1 and 50?

There are 3 perfect cubes between 1 and 50. They are 1, 8, and 27.
 

Important Glossaries for Cube Root 1 to 50

  • Perfect cube: Perfect cube is a number which can be expressed as a cube of the number. 
  • Prime factorization: The way of writing number as the product its prime factors.
  • Volume: The area occupied by an object in a three dimension space 
     

What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math

▶

Jaskaran Singh Saluja

About the Author

Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.