Cube Root Table

Cube Number

The result of multiplying an integer by the same integer three times is known as a cube number. Perfect cubes are another name for cube numbers. As a result, a cube number is a number with the exponential power of three, or a number multiplied three times. 

In geometry, the volume of a cube is equal to its length, width, and height. The cube’s length, breadth, and height are all the same because it’s a cube. As a result, the cube’s volume equals a3, where a denotes the length, height, and width of the cube. This denotes that the volume of a cube is a cube number.

Cube Root:

The cube root of a number is written by ∛ and is the inverse of the cube of a number. In the same way, 5 is known as the cube root of the number 125.

When we hear the words cube and root, the first image that comes to mind is of an actual cube and tree roots. Isn’t that correct? It’s a similar concept, to be sure. The root refers to the original source or origin. All we have to do now is think about “which number’s cube should be chosen to obtain the specified number.” The definition of cube root in mathematics is as follows:

 Cube root is the number that must be multiplied three times to obtain the original number. Now consider the cube root formula, in which y is the cube root of x and ∛x  = y.

With a little 3 inscribed on the top left of the sign, the radical sign ∛ is employed as a cube root symbol for any number. 

The inverse of the cube of a number is the cube root.

How to find the cube root of a number?

To find the cube root, start by establishing the prime factorization of the given number. Then, divide the components into three groups of three elements each. After that, erase the cube root symbol and multiply the factors to get the answer. 

• The formula for Cube Roots

To find the cube root of any number expressed in radical form with the sign∛, use the cube root formula. After identifying the prime factorization of the given number, it can be calculated using the cube root formula. Assume that x is any number such that x = y × y × y.

The cube root is calculated using the following formula:

Cube root of given number x = ∛x = ∛(y × y × y) = y

where,

Any number x has a cube root y.

• Cube of numbers 1-30:

1³ = 1

2³  = 8

3³  = 27

4³  = 64

5³ = 125

6³ = 216

7³  = 343

8³  = 512

9³  = 729

10³  = 1000

11³ = 1331

12³  = 1728

13³ = 2197

14³ = 2744

15³ = 3375

16³ = 4096

17³  = 4913

18³  = 5832

19³ = 6859

20³  = 8000

21³ = 9261

22³  = 10648

23³ = 12167

24³ = 13824

25³ = 15625

26³  = 17576

27³ = 19683

28³  = 21952

29³ = 24389

30³  = 27000

• Cube root of numbers 1-30

∛1 = 1

∛2 = 1.2599

∛3 = 1.4422

∛4 = 1.5874

∛5 = 1.7099

∛6 = 1.8171

∛7 = 1.9129

∛8 = 2

∛9 = 2.08

∛10 = 2.1544

∛11 = 2.2239

∛12 = 2.2894

∛13 = 2.3513

∛14 = 2.4101

∛15 = 2.4662

∛16 = 2.5198

∛17 = 2.5712

∛18 = 2.6207

∛19 = 2.6684

∛20 = 2.7144

∛21 = 2.7589

∛22 = 2.802

∛23 = 2.8438

∛24 = 2.8844

∛25 = 2.924

∛26 = 2.9624

∛27 = 3

∛28 = 3.0365

∛29 = 3.0723

∛30 = 3.1072

Conclusion:

A number’s cube root is a value that, when multiplied by itself three times, returns the original value. For example, the cube root of 27, written as ∛27, is 3, because we get 3 x 3 x 3 = 27 = 33 when we multiply 3 by itself three times. As a result, we can argue that the cube root returns a value that is essentially cubed. 27 is stated to be a perfect cube in this context. We can deduce what the cube’s root is from the word “cube root.” It denotes which number resulted in the presence of a cube beneath the root. The prime factorization method is commonly used to obtain the cubic root of perfect cubes.