Cube Root Table

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Basics of Cube Root Table

Cube root table is a table consisting of a list of numbers and their cube roots. Before we write the cube root table, it is very important for all of us to understand what is the perfect cube root chart and cube of a number. The cube of any real number can be defined as that number which is obtained by multiplying a number by itself twice or by raising its power to 3. At the same time, the cube root of any number is that number which when raised to the power 3 gives the answer as the number whose cube root is to be determined.


Cube root of a number can also be exponentially represented as the number raised to the power ⅓. If ‘x’ is any real number, then its cube root is represented as (x) or ∛x. Perfect cubes are the numbers that are obtained when natural numbers are multiplied by itself twice. All the perfect cube numbers have a square root equal to a natural number. The perfect cube root chart of the first 25 perfect cube numbers is represented in the table below. 


Perfect Cube Root Chart

Perfect Cube Number

Cube Root of the Number

1

1

8

2

27

3

64

4

125

5

216

6

343

7

512

8

729

9

1000

10

1331

11

1728

12

2197

13

2744

14

3375

15

4096

16

4913

17

5832

18

6859

19

8000

20

9261

21

10648

22

12167

23

13824

24

15625

25


While it is very important to know the cube roots of the numbers, it is also very important to know the table of cubes from 1 to 50 (i.e. first 50 natural numbers) in order to make our Mathematical computations easy and efficient without a calculator. The table of cubes from 1 to 50 is given below for the reference of students and facilitators. 


Table of Cubes from 1 to 50

Natural Number

Cube of the Number

1

1

2

8

3

27

4

64

5

125

6

216

7

343

8

512

9

729

10

1000

11

1331

12

1728

13

2197

14

2744

15

3375

16

4096

17

4913

18

5832

19

6859

20

8000

21

9261

22

10648

23

12167

24

13824

25

15625

26

17576

27

19683

28

21952

29

24389

30

27000

31

29791

32

32768

33

35937

34

39304

35

42875

36

46656

37

50653

38

54872

39

59319

40

64000

41

68921

42

74088

43

79507

44

85184

45

91125

46

97336

47

103823

48

110592

49

117649

50

125000


Any student or a facilitator who is keen about Mathematics will find his or her own ways to memorize the cube root list 1 to 100. Though it may seem little difficult at the initial days, the task of remembering the cube root list 1 to 100 becomes more and more easy through continuous practice and periodic revision. 


Cube Root List 1 to 100

Number 

Cube Root

Number 

Cube Root

Number 

Cube Root

Number 

Cube Root

1

1.000

26

2.962

51

3.708

76

4.236

2

1.260

27

3.000

52

3.733

77

4.254

3

1.442

28

3.037

53

3.756

78

4.273

4

1.587

29

3.072

54

3.780

79

4.291

5

1.710

30

3.107

55

3.803

80

4.309

6

1.817

31

3.141

56

3.826

81

4.327

7

1.913

32

3.175

57

3.849

82

4.344

8

2.000

33

3.208

58

3.871

83

4.362

9

2.080

34

3.240

59

3.893

84

4.380

10

2.154

35

3.271

60

3.915

85

4.397

11

2.224

36

3.302

61

3.936

86

4.414

12

2.289

37

3.332

62

3.958

87

4.431

13

2.351

38

3.362

63

3.979

88

4.448

14

2.410

39

3.391

64

4.000

89

4.465

15

2.466

40

3.420

65

4.021

90

4.481

16

2.520

41

3.448

66

4.041

91

4.498

17

2.571

42

3.476

67

4.062

92

4.514

18

2.621

43

3.503

68

4.082

93

4.531

19

2.668

44

3.530

69

4.102

94

4.547

20

2.714

45

3.557

70

4.121

95

4.563

21

2.759

46

3.583

71

4.141

96

4.579

22

2.802

47

3.609

72

4.160

97

4.595

23

2.844

48

3.634

73

4.179

98

4.610

24

2.884

49

3.659

74

4.198

99

4.626

25

2.924

50

3.684

75

4.217

100

4.642


Fun Facts

  • Cube and cube roots are inverse mathematical operations.

  • The Cube of a cube root of a number or the cube root of a cube of a number is the number itself.

FAQ (Frequently Asked Questions)

1. Where do we use Cubes and Cube Roots?

Answer: Cubes and cube roots are used in several Mathematical and Physical computations. It is quite often used to derive the solutions of cubic equations. To be more specific, the knowledge of cube roots can be used to determine the dimensions of three dimensional objects with specific value. Cubes and cube roots are also used in day to day calculations of Mathematics while learning the concepts such as exponents.

2. Why is it Important to know the Short Tricks of Finding Cubes and Cube Roots?

Answer: Cubes and cube roots are the most favorite topics of the paper setters who frame question papers for competitive examinations. It is highly difficult to crack these exams without the knowledge of short tricks to find cubes and cube roots because most of the questions in these exams are time bound and restricts the use of calculators. So, the continuous practice of a few short tricks and tips to remember the cubes and cube roots of at least few numbers may help a lot.