Cubes from 1 to 50

Students can use the cubes ranging from 1 to 50 to help them solve problems quickly. The cube of a number is the result of multiplying that number by itself three times.

Introduction to Cubes

When a number is multiplied three times, the resulting number is called the cube (x). In other words, the cube of a number (x) is x³ or x-cubed.For example, the cube of 3 is 3 × 3 × 3 = 27, which can be written as 3³ = 27. Any natural number raised to the power of three gives the cube of the original number.

number is multiplied three times

What are Cubes?

Cubes are the values obtained by multiplying a number by itself three times. This can be done with both integers and fractions.The cube of a number (x) is x³ or x-cubed.

Perfect Cubes

A perfect cube is a number that can be written as the product of three identical or equal integers. For example, the number 125 is a perfect cube because 5 × 5 × 5 = 125. However, 121 is not a perfect cube because there is no integer that, when multiplied three times, gives 121.

Cubed Numbers

To find the cube of a whole number (not a fraction), you can multiply the number by itself, and then multiply the result by the same number.For example, the cube of 5 can be written as 5³, which means 5 × 5 × 5 = 125.

Cube of Negative Numbers

The cube of a negative number will always be negative, while the cube of a positive number will always be positive.For example, the cube of -5 is -125, which can be written as -5³.By understanding the properties and applications of cubes, students can use the cubes ranging from 1 to 50 to solve problems more efficiently and gain a deeper understanding of mathematical concepts.

Cubes 1 to 50 table

Numberx

Multiplied three times by itself

Cubesx3

1

111

1

2

222

8

3

333

27

4

444

64

5

555

125

6

666

216

7

777

343

8

888

512

9

999

729

10

101010

1000

11

111111

1331

12

121212

1728

13

131313

2197

14

141414

2744

15

151515

3375

16

161616

4096

17

171717

4913

18

181818

5832

19

191919

6859

20

202020

8000

21

212121

9261

22

222222

10648

23

232323

12167

24

242424

13824

25

252525

15625

26

262626

17576

27

272727

19683

28

282828

21952

29

292929

24389

30

303030

27000

31

313131

29791

32

323233

32768

33

333333

35937

34

343434

39304

35

353535

42875

36

363636

46656

37

373737

50653

38

383838

54872

39

393939

59319

40

404040

64000

41

414141

68921

42

424242

74088

43

434343

79507

44

444444

85184

45

454545

91125

46

464646

97336

47

474747

103823

48

484848

110592

49

494949

117649

50

505050

125000

Division Method to Find the Cube Root

The division method is analogous to the long division method or the manual square method for obtaining the cube root. Make a set of three-digit numbers from the back to the front. The next step is to find a number that has a cube root that is less than or equal to the supplied integer.

Subtract the obtained number from the specified number and enter the result in the second box. Then, multiply the initial number obtained to obtain the multiplication factor for the next step in the long division procedure. Repeat the above procedure to find the cube root of a number. This lengthy division method is used when the given integer is not a perfect cube number. This method takes a long time to find the cube root of an integer.

Related Links

Frequently Asked Questions on Cubes from 1 to 50

Learning the cubes from 1 to 50 is beneficial for students as it helps them quickly solve problems involving cube calculations. Having a reference for the cubes of numbers from 1 to 50 allows students to perform complex calculations more efficiently without the need for a calculator or extensive computations.
 

The cube of a number is calculated by multiplying the number by itself three times. For example, the cube of 4 is 4 × 4 × 4 = 64, which can be written as 4³.

A perfect cube is a number that can be expressed as the product of three identical integers. For example, 27 is a perfect cube because it can be written as 3 × 3 × 3 = 27.
 

The cube of a negative number will always be negative, while the cube of a positive number will always be positive. For instance, the cube of -5 is -125, while the cube of 5 is 125.