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. Similarly, the cube root of all the numbers is found. The exponent’s formula of the cube root is (x)1/3 and solving the same gives the cube root of a number. Now 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.
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:
- Radical Form: ∛x
- Exponent Form: (x)1/3
- Lowest Value: (1)1/3 = 1
- Highest Value: (30)1/3 = 3.1072
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 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.
|
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.
|
(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.
|
(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.
|
(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.
|
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 cm3.
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
FAQs on Cube Root 1 to 30
Q1: What is Cube Root 1 to 30?
Answer:
The cube root of 1 to 30 are the cube root of all natural number from 1 to 30.
Q2: What are the Methods to Calculate Cube Root?
Answer:
The cube roots can be calculated by using two methods,
- Prime Factorization Method
- Long Division Method
Q3: What is the cube root of 11?
Answer:
The cube root of 11 is,
(11)1/3 = 2.2239
Q4: What is the cube root of 29?
Answer:
The cube root of 29 is,
(29)1/3 = 3.0723
Share your thoughts in the comments
Please Login to comment...