Cubes from 1 to 50: Values, List & Examples

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Cubes from 1 to 50 is a list of cubes of all the natural numbers from 1 to 50. The value of cubes from 1 to 50 ranges between 1 and 125000. Cubes from 1 to 50 are expressed as (x)³ in the exponential form. Cube of a number refers to the value obtained when a number is multiplied by itself three times or thrice. For instance, the cube of 7 is 7 x 7 x 7 = 343. Memorizing the values of cubes from 1 to 50 helps in faster calculations in Mathematics.

Table of Content

What are Cubes?
Cubes from 1 to 50
Cubes 1 to 50 for Even Numbers
Cubes 1 to 50 for Odd Numbers
How to Calculate Cubes from 1 to 50?
Things to Remember
Sample Questions

Key Terms: Cubes, Cube Root, Numbers, Multiplication, Odd Numbers, Even Numbers, Fraction, Integer

What are Cubes?

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Cubes are the values obtained when a number is multiplied by itself thrice. Cube can be calculated for any number, be it an integer or a fraction. Cube of a whole number results in a perfect cube (x³), which means that the cube root of x³ results in x again. Cube is therefore the inverse of cube root.

Cube of 7

Cube of 7

Example: Find out the cube of 45.

Solution: The cube of 45 will be calculated as

45³ = 45 x 45 x 45 = 91125

Thus, the cube of 45 is 91125.

Read More:

Chapter-Related Topics
Cube and Cube Roots	Cube Root 1 to 30	Some Interesting Patterns
Difference of Cubes Formula	Radical Formula	Square Root Formula

Cubes from 1 to 50

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The values of cubes of numbers from 1 to 50 are as follows:

Number (x)	Multiplied Thrice	Cubes (x³)
1	1× 1× 1	1
2	2× 2× 2	8
3	3× 3× 3	27
4	4× 4× 4	64
5	5× 5× 5	125
6	6× 6× 6	216
7	7× 7× 7	343
8	8× 8× 8	512
9	9× 9× 9	729
10	10× 10× 10	1000
11	11× 11× 11	1331
12	12× 12× 12	1728
13	13× 13× 13	2197
14	14× 14× 14	2744
15	15× 15× 15	3375
16	16× 16× 16	4096
17	17× 17× 17	4913
18	18× 18× 18	5832
19	19× 19× 19	6859
20	20× 20× 20	8000
21	21× 21× 21	9261
22	22× 22× 22	10648
23	23× 23× 23	12167
24	24× 24× 24	13824
25	25× 25× 25	15625
26	26× 26× 26	17576
27	27× 27× 27	19683
28	28× 28× 28	21952
29	29× 29× 29	24389
30	30× 30× 30	27000
31	31× 31× 31	29791
32	32× 32× 32	32768
33	33× 33× 33	35937
34	34× 34× 34	39304
35	35× 35× 35	42875
36	36× 36× 36	46656
37	37× 37× 37	50653
38	38× 38× 38	54872
39	39× 39× 39	59319
40	40× 40× 40	64000
41	41× 41× 41	68921
42	42× 42× 42	74088
43	43× 43× 43	79507
44	44× 44× 44	85184
45	45× 45× 45	91125
46	46× 46× 46	97336
47	47× 47× 47	103823
48	48× 48× 48	110592
49	49× 49× 49	117649
50	50× 50× 50	125000

Cubes 1 to 50 for Even Numbers

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The values of cubes from 1 to 50 for the even numbers are tabulated below:

Cube Root 1 to 50: Even Numbers
2³ = 8	18³ = 5832	34³ = 39304
4³ = 64	20³ = 8000	36³ = 46656
6³ = 216	22³ = 10648	38³ = 54872
8³ = 512	24³ = 13824	40³ = 64000
10³ = 1000	26³ = 17576	42³ = 74088
12³ = 1728	28³ = 21952	44³ = 85184
14³= 2744	30³ = 27000	46³ = 97336
16³ = 4096	32³ = 32768	48³ = 110592
50³ = 125000

Read More: Cubes and Cube Roots MCQs

Cubes 1 to 50 for Odd Numbers

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The table given below shows the values of cubes from 1 to 50 for odd numbers.

Cube Root 1 to 50: Odd Numbers
1³= 1	17³ = 4913	33³ = 35937
3³ = 27	19³ = 6859	35³ = 42875
5³ = 125	21³ = 9261	37³ = 50653
7³ = 343	23³ = 12167	39³ = 59319
9³ = 729	25³ = 15625	41³ = 68921
11³ = 1331	27³ = 19683	43³ = 79507
13³ = 2197	29³ = 24389	45³ = 91125
15³ = 3375	31³ = 29791	47³ = 103823
49³ = 117649

How to Calculate Cubes from 1 to 50?

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We can calculate the cube of any number through multiplication. In order to calculate the values of cubes from 1 to 50, follow the given steps:

Write down the given number.
Multiply the number thrice by itself. For example, the cube of 8 = 8 × 8 × 8 = 512.
Thus, the value “512” gives us the cube of the number “8”.

Solved Examples on Cubes from 1 to 50

Example 1: Given that a cube has a side of length 24 inches, what will be the volume of the cube in cubic inches?

Solution: According to the question,

Volume of Cube = a³ = 24³

Using the values from cubes from 1 to 50 chart,

Volume of Cube = 24³ = 13824

Thus, the volume of the given cube is 13824 inches³.

Example 2: What will be the value of 2 times 12 cube plus 5.

Solution: Framing the equation as per the question, we get

2 × 12³ + 5

= 2 × 1728 + 5 = 3461

Thus, the value of 2 times 12 cube plus 5 is 3461.

Read More:

Related Topics
Exponential Formula	Sum of Even Numbers	Composite Numbers
Difference Between Fraction and Rational Numbers	Types of Fraction	Powers and Negative Exponents

Things to Remember

Cube of a number refers to the value obtained when a number is multiplied three times by itself.
Cubes from 1 to 50 refer to the list of values of cubes of natural numbers 1 to 50.
The values of cubes from 1 to 50 range from 1 to 125000.
The exponential form of a cube is written as (x)³.
Cube is the inverse method of cube root.

Sample Questions

Ques. Calculate the volume of a sphere having a radius of 13 inches. (3 Marks)

Ans. We know that

Volume of a sphere = 4/3 πR³

V = 4/3 πR³ = 4/3 × 3.14 × 13³

Using the value of cube of 13 from Cubes from 1 to 50 chart, we get

V = 1.333 × 3.14 × 2197

V = 9195.8 in³

Thus, the volume of the given sphere is 9195.8 in³

Ques. Find the Value of 12 plus 8 cube plus 4 cube. (3 Marks)

Ans. According to the question, the given statement is

12 + 8³ + 4³

Using the Cubes from the 1 to 50 chart, the value of 8³ is 512, and 4³ is 64. So,

12 + 8³ + 4³ = 12 + 512 + 64

12 + 8³ + 4³ = 588.

Thus, the value of 12 plus 8 cube plus 4 cube is 588.

Ques. Find the sum of all perfect cubes from 1 to 50. (3 Marks)

Ans. There are only three perfect cubes in the natural numbers 1 to 50. 1, 8, and 27 are the three perfect cubes from 1 to 50.

Adding them up, we get

1 + 8 + 27 = 36

Thus, the sum of all perfect cubes from 1 to 50 is 36.

Ques. How many numbers in Cubes from 1 to 50 will be Even Numbers? (3 Marks)

Ans. We know that the even numbers between 1 to 50 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50. The cubes of even numbers are always even. It means that the value of cubes of numbers 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50 will be even in Cubes from 1 to 50.

Ques. How can we calculate cubes from 1 to 50? (3 Marks)

Ans. The cubes from 1 to 50 can be calculated using the method of repetitive multiplication. Examples of the same are

Cube of 9: 9 x 9 x 9 = 729
Cube of 11: 11 x 11 x 11 = 1331
Cube of 2: 2 x 2 x 2 = 8

Ques. What do you mean by the value of cubes from 1 to 50? (2 Marks)

Ans. The value of cube 1 to 50 refers to the list of numbers obtained by multiplying an integer three times. For instance, take a number x, so, its cube will be x × x × x. The value of a cube will always be a positive number for numbers 1 to 50.

Ques. Find out the numbers in Cubes from 1 to 50 that are Odd. (3 Marks)

Ans. As we know, the odd numbers between 1 to 50 are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49. Also, it must be noted that the cube of odd numbers is always odd. Thus, the value of cubes of numbers 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49 will be odd in Cubes from 1 to 50.

Ques. Which all values of cubes from 1 to 50 are between 1 and 300 inclusive? (2 Marks)

Ans. The values of cubes from 1 to 50 that are between 1 and 300 are 1³ (1), 2³ (8), 3³ (27), 4³ (64), 5³ (125), and 6³ (216). So, there is a total of 6 values of cubes from 1 to 50 that fall between 1 and 300 inclusive.

Ques. List the first ten cube numbers. (1 Mark)

Ans. The first ten cube numbers are 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

Ques. 2197 is the cube of which number from 1 to 50? (2 Marks)

Ans. From the cubes of 1 to 50 chart, we can see that,

2197 is the cube of 13 as

13³ = 13 x 13 x 13 = 2197

Ques. Find the cube of: (3 Marks)
(a) 3
(b) 10
(c) 50

Ans. The cube of the given numbers are:

(a) 3³ = 3 x 3 x 3 = 27

(b) 10³ = 10 x 10 x 10 = 1000

(c) 50³ = 50 x 50 x 50 = 125000

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Cubes from 1 to 50: Values, List & Examples

What are Cubes?

Cubes from 1 to 50

Cubes 1 to 50 for Even Numbers

Cubes 1 to 50 for Odd Numbers

How to Calculate Cubes from 1 to 50?

Solved Examples on Cubes from 1 to 50

Things to Remember

Sample Questions

CBSE X Related Questions

1.
Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.

2.
If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

3.
A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.

4.
Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.

5.
The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

6.
In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.

Similar Mathematics Concepts

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Cubes from 1 to 50: Values, List & Examples

What are Cubes?

Cubes from 1 to 50

Cubes 1 to 50 for Even Numbers

Cubes 1 to 50 for Odd Numbers

How to Calculate Cubes from 1 to 50?

Solved Examples on Cubes from 1 to 50

Things to Remember

Sample Questions

CBSE X Related Questions

1.Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.

2.If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

3.A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.

4.Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.

5.The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

6.In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Use graphical method to solve the system of linear equations : $x = -3$ and $5x - 2y = -5$.

2.
If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

3.
A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.

4.
Prove that $14 - 2\sqrt{3}$ is an irrational number, given that $\sqrt{3}$ is irrational.

5.
The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

6.
In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.