Cube Root 1 to 30 (original) (raw)

Last Updated : 23 Jul, 2025

**Cube Root 1 to 30 are the cube roots of the natural number from 1 to 30. These cube roots help us to solve various problems of mathematics. The cube root of any number is the number raised to the power 1/3. For finding the cube root of a number we take a number and find its prime factors and then take one out of three prime factors to get the required cube root.

This is explained as suppose we have to find a cube root of 8, this is represented as, ∛(8) or (8)1/3 factors of, and now for its value, we take all the prime factors of 8, i.e. 8 = 2 × 2 × 2.

∛(8) = ∛(2 × 2 × 2) = 2

Thus, the cube root of 8 is 2.

cube-root

In this article, we will learn about the cube root of numbers from 1 to 30, their charts, perfect cube roots, examples, and others in detail.

Table of Content

Cube Root 1 to 30

The cube roots 1 to 30 are the cube roots of the natural numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, and 30. These cube roots are very useful in solving mathematical problems. The basics of cube roots from 1 to 30 are mentioned below:

What is Cube Root 1 to 30?

Cube Roots from 1 to 30 are the cube root of the individual numbers and they are listed as 1 cube root equals 1, 2 cube roots equals 1.2599, and so on. The chart of the cube roots from 1 to 30 is added below,

Cube-Roots-1-to-30

Cube Root 1 to 30 List

The list of cube roots from 1 to 30 is very important, and learning all the cube roots from 1 to 30 helps students to perform well in class. The table added below contains the cube roots from 1 to 30.

Number Cube Root Number Cube Root Number Cube Root
1 1 11 2.2239 21 2.7589
2 1.2549 12 2.2894 22 2.802
3 1.4422 13 2.3513 23 2.8438
4 1.5874 14 2.4101 24 2.8844
5 1.7099 15 2.4662 25 2.924
6 1.8171 16 2.5198 26 2.9624
7 1.9129 17 2.5712 27 3
8 2 18 2.6207 28 3.0365
9 2.08 19 2.6684 29 3.0723
10 2.1544 20 2.7144 30 3.1072

Cube Root 1 to 30 (Even Numbers)

The Cube Root 1 to 30 even numbers contain all the cube roots of the even number from 1 to 30, i.e. it contains the cube root of 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, and 30. The table added below shows the cube root of all the even numbers from 1 to 30.

Number Cube Root
(2)1/3 1.26
(4)1/3 1.587
(6)1/3 1.817
(8)1/3 2
(10)1/3 2.154
(12)1/3 2.289
(14)1/3 2.41
(16)1/3 2.52
(18)1/3 2.621
(20)1/3 2.714
(22)1/3 2.802
(24)1/3 2.884
(26)1/3 2.962
(28 )1/3 3.037
(30)1/3 3.107

Cube Root 1 to 30 (Odd Numbers)

The Cube Root 1 to 30 odd numbers contain all the cube roots of the odd number from 1 to 30, i.e. it contains the cube root of 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, and 29. The table added below shows the cube roots of all the odd numbers from 1 to 30.

Number Cube
(1)1/3 1
(3)1/3 1.442
(5)1/3 1.71
(7)1/3 1.913
(9)1/3 2.08
(11)1/3 2.224
(13)1/3 2.351
(15)1/3 2.466
(17)1/3 2.571
(19)1/3 2.668
(21)1/3 2.759
(23)1/3 2.844
(25)1/3 2.924
(27)1/3 3
(29)1/3 3.072

Cube Root 1 to 30 for Perfect Cubes

The cube root of the perfect cube from 1 to 30 contains the cube root of the number that results in a natural number. The cube root from 1 to 30 for a perfect cube contains the cube root of 1, 8, and 27. The table added below shows the cube root of the perfect cube from 1 to 30.

Number Cube Root Number Cube Root Number Cube Root
(1)1/3 1 (8)1/3 2 (27)1/3 3

Cube Root 1 to 30 for Non-Perfect Cubes

The cube root of the non-perfect cube from 1 to 30 contains the cube root of the number that does not results in a natural number. The cube root from 1 to 30 for a non-perfect cube contains the cube root of all the numbers apart from 1, 8, and 27, i.e. the cube root of the number 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, and 30. The table added below shows the cube root of the non-perfect cube from 1 to 30.

Number Cube Root Number Cube Root Number Cube Root
2 1.2549 12 2.2894 21 2.7589
3 1.4422 13 2.3513 22 2.802
4 1.5874 14 2.4101 23 2.8438
5 1.7099 15 2.4662 24 2.8844
6 1.8171 16 2.5198 25 2.924
7 1.9129 17 2.5712 26 2.9624
9 2.08 18 2.6207 28 3.0365
10 2.1544 19 2.6684 29 3.0723
11 2.2239 20 2.7144 30 3.1072

How to Calculate Cube Roots 1 to 30?

The cube roots from 1 to 30 can be calculated by using the,

Cube Root by Prime Factorization Method

We use the prime factorization method for finding the cube root of the perfect cubes, i.e. the cube root of the number whose prime factors are in pair of three. We can understand this by the example, the prime factor of 27 is 3×3×3 thus, the cube root of 27 is found as,

(27)1/3 = (3×3×3)1/3 = 3

Cube Root by Long Division Method

In Cube Root by Long Division Method, we take group of three digits in dividends and divide it using a suitable divisor whose cube is nearest to the selected three digits. A more detailed explanation of it can be read at Cube Root by Long Division Method.

**Read More,

Solved Examples on Cube Root 1 to 30

**Example 1: Find the side of the cube whose volume is 28 cm 3 .

**Solution:

Given,

Volume of Cube (V) = 28 cm3

Volume of Cube(V) = a3 = 28

Side of Cube(a) = (V)1/3

a = (28)1/3

a = 3.0365 cm

Thus, the side of the cube is 3.0365 cm

**Example 2: Simplify (14) 1/3 **- (11) 1/3 + (8) 1/3

**Solution:

= (14)1/3 - (11)1/3 + (8)1/3

= 2.4101 - 2.2239 + 2

= 2.1862

**Example 3: Simplify (24) 1/3 **- (27) 1/3 + (15) 1/3

**Solution:

= (24)1/3 - (27)1/3 + (15)1/3

= 2.8844 - 3 + 2.4462

= 2.3306