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Cube Root 1 to 30

Cube Root 1 to 30 is the list of cube roots of all the numbers from 1 to 30. Cube roots can be determined for both negative and positive numbers. The values of cube roots from 1 to 30 range from 1 to 3.1072.

In cube roots from 1 to 30, the numbers 1, 8, and 27 are perfect cubes and the remaining numbers are non-perfect cubes i.e. their cube root will be irrational. The cube root 1 to 30 in radical form is expressed as ∛x and in the exponential form, it is expressed as (x)^⅓.

Cube Roots 1 to 30:

In radical form: ∛x
In exponential form: (x)^⅓

Where x is any number between 1 to 30.

1.	Cube Root from 1 to 30
2.	Cube Root 1 to 30 PDF
3.	How to Calculate Cube Root 1 to 30?
4.	FAQs

Cube Root from 1 to 30 Chart

Cube Roots 1 to 30

Cube Root from 1 to 30

Learning cube root 1 to 30 will help you to simplify the time-consuming long equations quickly. The value of cube roots 1 to 30 up to 3 decimal places is listed in the table below.

Cube Roots from 1 to 30 Rounded to 3 Decimal Places
∛1 = 1	∛2 = 1.26
∛3 = 1.442	∛4 = 1.587
∛5 = 1.71	∛6 = 1.817
∛7 = 1.913	∛8 = 2
∛9 = 2.08	∛10 = 2.154
∛11 = 2.224	∛12 = 2.289
∛13 = 2.351	∛14 = 2.41
∛15 = 2.466	∛16 = 2.52
∛17 = 2.571	∛18 = 2.621
∛19 = 2.668	∛20 = 2.714
∛21 = 2.759	∛22 = 2.802
∛23 = 2.844	∛24 = 2.884
∛25 = 2.924	∛26 = 2.962
∛27 = 3	∛28 = 3.037
∛29 = 3.072	∛30 = 3.107

☛ Cube Root 1 to 30 PDF

The students are advised to memorize these cube roots 1 to 30 values thoroughly for faster math calculations. Click on the download button to save its PDF copy.

Cube Root 1 to 30 for Perfect Cubes

The table below shows the values of cube roots from 1 to 30 for perfect cubes.

∛1 = 1	∛8 = 2
∛27 = 3

Cube Root 1 to 30 for Non-Perfect Cubes

The table below shows the values of 1 to 30 cube roots for non-perfect cubes.

Cube Root 1 to 30 for Non-Perfect Cubes	∛2 = 1.259
∛3 = 1.442	∛4 = 1.587
∛5 = 1.710	∛6 = 1.817
∛7 = 1.913	∛9 = 2.080
∛10 = 2.154	∛11 = 2.224
∛12 = 2.289	∛13 = 2.351
∛14 = 2.410	∛15 = 2.466
∛16 = 2.520	∛17 = 2.571
∛18 = 2.621	∛19 = 2.668
∛20 = 2.714	∛21 = 2.759
∛22 = 2.802	∛23 = 2.844
∛24 = 2.884	∛25 = 2.924
∛26 = 2.962	∛28 = 3.037
∛29 = 3.072	∛30 = 3.107

☛ Check: Cube Root Calculator

How to Calculate Cube Root from 1 to 30?

Prime Factorization

Example: Value of ∛8

Prime factorization of 8 is 2 × 2 × 2
Pairing prime factors: 2

Therefore, the value of ∛8 = 2

Cube Roots of Numbers Between 1 to 30

Cube Root Of 1	Cube Root Of 2
Cube Root Of 3	Cube Root Of 4
Cube Root Of 5	Cube Root Of 6
Cube Root Of 7	Cube Root Of 8
Cube Root Of 9	Cube Root Of 10
Cube Root Of 11	Cube Root Of 12
Cube Root Of 13	Cube Root Of 14
Cube Root Of 15	Cube Root Of 16
Cube Root Of 17	Cube Root Of 19
Cube Root Of 20	Cube Root Of 21
Cube Root Of 22	Cube Root Of 23
Cube Root Of 24	Cube Root Of 25
Cube Root Of 26	Cube Root Of 27
Cube Root Of 28	Cube Root Of 29
Cube Root Of 30

Solved Examples on Cube Root 1 to 30

Example 1: A cube has a volume of 30 cubic inches. Find the length of the side of the cube.

Solution:

Let ‘a’ be the length of the side of the cube

Volume of the Cube = 30 in³ = a³

i.e. a³ = 30

a = ∛30 = 3.107 in

Therefore, the length of the side of the cube is 3.107 inches.
Example 2: Find the real root of the equation 12x³ = 96?

Solution:

Given 12x³ = 96

Dividing by 12 on both sides,

x³ = 8

Using the values from 1 to 30 cube root chart, the real root for the equation 12x³ = 96 is for x = 2.
Example 3: Find the value of 3∛10 + ∛30

Solution:

3∛10 + ∛30 = 3 × (2.154) + 3.107 [the value of ∛10 = 2.154 and ∛30 = 3.107]

Therefore, 3∛10 + ∛30 = 6.462 + 3.107 = 9.569

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FAQs on Cube Root 1 to 30

What is the Value of Cube Root 1 to 30?

The value of cube root 1 to 30 is a number (x^⅓) when multiplied three times gives the original number. Between 1 to 30, the cube roots of 1, 8, and 27 are whole numbers (rational), while the cube roots of 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, 30 are decimal numbers that are neither terminating nor recurring (irrational).

If you take Cube Root from 1 to 30, How Many of Them will be Irrational?

The numbers 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, 30 are non-perfect cubes. Hence their cube root will be an irrational number (cannot be expressed in the form of p/q where q ≠ 0).

What are the Methods to Calculate Cube Roots from 1 to 30?

There are two methods commonly used to calculate the value of cube roots from 1 to 30. For perfect cubes (1, 8, and 27), we can use prime factorization method and for non-perfect cubes (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, 30) long division method can be used.

What is the Value of 5 Plus 5 Cube Root 27?

The value of ∛27 is 3. So, 5 + 5 × ∛27 = 5 + 5 × 3 = 20. Hence, the value of 5 plus 5 cube root 27 is 20.

How Many Numbers in Cube Roots 1 to 30 are Rational?

The numbers 1, 8, and 27 are perfect cubes so their cube roots will be whole numbers i.e. can be expressed in the form of p/q where q ≠ 0. Hence, the cube roots of 1, 8, and 27 are rational numbers.

What Values of Cube Roots from 1 to 30 are Between 1 and 2.2 inclusive?

The values of cube roots 1 to 30 between 1 and 2.2 are ∛1 (1), ∛2 (1.26), ∛3 (1.442), ∛4 (1.587), ∛5 (1.710), ∛6 (1.817), ∛7 (1.913), ∛8 (2), ∛9 (2.080), and ∛10 (2.154).

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