Cubes 1 to 30

Cubes 1 to 30 are the cubes of the natural number from 1 to 30 and these cubes are very useful for solving various problems of mathematics. Learning these cubes from 1 to 30 is very useful for the students. The Cube of a number is found by multiplying the number by itself three times. Using the exponent’s formula x³ gives the cube of a number. Suppose we have to find a cube of 21 then,

21³ = 21 × 21 × 21 = 9261

Similarly, the cube of all the numbers is found. In this article, we will learn about the cubes of numbers from 1 to 30, their charts, examples, and others in detail.

Cube 1 to 30

The cubes 1 to 30 are the cubes of the 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 cubes are very useful in solving various mathematical problems and finding various patterns.

• Exponent Form: (x)³
• Lowest Value in Cube 1 to 30: 1³ = 1 × 1 × 1 = 1
• Highest Value in Cube 1 to 30: 30³ = 30 × 30 × 30 = 27000

Note: The higher the natural number higher it’s cube will be.

What are Cubes 1 to 30?

Cubes from 1 to 30 are the cubes of the numbers and they are listed as 1 cubed equals 1, 2 cubed equals 8, and so on. The following chart shows all the cubes from 1 to 30:

List of Cubes 1 to 30

The list of cubes 1 to 30 is very important and learning the same is a must for all students. The table added below has all the cubes from 1 to 30.

Number	Cube	Number	Cube	Number	Cube
1	1	11	1331	21	9261
2	8	12	1728	22	10648
3	27	13	2197	23	12167
4	64	14	2744	24	13824
5	125	15	3375	25	15625
6	216	16	4096	26	17576
7	343	17	4913	27	19683
8	512	18	5832	28	21952
9	729	19	6589	29	24389
10	1000	20	8000	30	27000

Cubes 1 to 30 (Even Numbers)

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

Number	Cube
(2)3	8
(4)3	64
(6)3	216
(8)3	512
(10)3	1000
(12)3	1728
(14)3	2744
(16)3	4096
(18)3	5832
(20)3	8000
(22)3	10648
(24)3	13824
(26)3	17576
(28)3	21952
(30)3	27000

Cubes 1 to 30 (Odd Numbers)

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

Number	Cube
(1)3	1
(3)3	27
(5)3	125
(7)3	343
(9)3	729
(11)3	1331
(13)3	2197
(15)3	3375
(17)3	4913
(19)3	6859
(21)3	9261
(23)3	12167
(25)3	15625
(27)3	19683
(29)3	24389

How to Calculate Cubes 1 to 30?

The cubes from 1 to 30 can be calculated by using two methods, which are

• By Multiplying the Number Itself
• Using Algebraic Identities

By Multiplying the Number Itself

The cube of any number from 1 to 30 can be easily calculated by multiplying a number itself three times, i.e. the cube of 9 is calculated as,

9³ = 9 × 9 × 9 = 81 × 9 =729

Thus, the cubes of all the numbers from 1 to 30 are calculated.

Using Algebraic Identities

The cube of any number from 1 to 30 can also be calculated by using algebraic identities as,

29³ = (30-1)³

Using Algebraic Identity, (a – b)³ = a³ – b³ – 3ab(a – b)

29³ = (30)³ – (1)³ – 3(30)(1)(30-1)

⇒ 29³ = 27000 – 1 – 2610

⇒ 29³ = 24389

Thus, the cubes of all the numbers from 1 to 30 are calculated.

Solved Examples on Cube 1 to 30

Example 1: Find the volume of a cube whose side is 21 cm.

Solution:

Given,

Side of Cube (a) = 21 cm

Volume of Cube = a³ = 21³ = 9261

Thus, the volume of cube is 9261 cm³

Example 2: Simplify (14)³ – (11)³ + (5)³

Solution:

= (14)³ – (11)³ + (5)³

= 2744 – 1331 + 125

= 1538

Example 3: Simplify (24)³ – (9)³ + (15)³

Solution:

= (24)³ – (9)³ + (15)³

= 13824 – 729 + 3375

= 16470

FAQs on Cubes 1 to 30

Q1: What are Cubes 1 to 30?

Answer:

The cube of 1 to 30 are the cubes of all natural number from 1 to 30.

Q2: What are the Methods to Calculate Cubes?

Answer:

The cubes of the number are calculated using the methods that are,

• By Multiplying the Number Itself
• Using Algebric identites

Q3: What is the Cube of 11?

Answer:

The cube of 11 is,

11³ = 11 × 11 × 11 = 1331

Q4: What is the Cube of 25?

Answer:

The cube of 25 is,

25³ = 25 × 25 × 25 = 15625