Cube Root Table

A cube root table is a handy mathematical reference chart that provides the cube roots of numbers from 1 to 100. This table is a valuable tool for students and professionals who need to quickly find the cube root of a number without using a calculator or computer.

Understanding cube roots is an important aspect of mathematics and has applications in various fields, such as engineering, physics, and finance. In this article, we will explore what cube roots are, how to use a cube root table, and some practical examples of applying cube roots.

What are Cube Roots?

Cube roots are a mathematical concept that represent the value which, when multiplied by itself three times, equals the original number. For example, the cube root of 8 is 2, because 2 × 2 × 2 = 8.

Using a Cube Root Table

A cube root table is a reference chart that lists the cube roots of numbers from 1 to 100. To use the table, simply locate the number you need the cube root for and read the corresponding value. This allows you to quickly find the cube root without having to perform complex calculations.

Practical Applications of Cube Roots

Cube roots have various applications in different fields:

  1. Engineering: Cube roots are used to calculate the side length of a cube with a known volume.
  2. Physics: Cube roots are used in formulas related to volume, density, and other physical properties.
  3. Finance: Cube roots are used in calculations involving compound interest and investment growth.

History of Cube Root Tables

The use of cube root tables can be traced back to ancient civilizations, such as the Greeks and Egyptians, who used them to perform mathematical calculations. Scottish mathematician John Napier was the first to publish a table of logarithms, which included cube roots, in the early 17th century.By understanding the concept of cube roots and how to use a cube root table, you can simplify complex calculations and gain valuable insights in a wide range of mathematical and scientific disciplines.

Cube Root Chart

Number

Cube Root

Number 

Cube Root

1

1.000

51

3.708

2

1.260

52

3.733

3

1.442

53

3.756

4

1.587

54

3.780

5

1.710

55

3.803

6

1.817

56

3.826

7

1.913

57

3.849

8

1.913

58

3.871

9

2.080

59

3.893

10

2.154

60

3.915

11

2.224

61

3.936

12

2.289

62

3.958

13

2.351

63

3.979

14

2.410

64

4.000

15

2.466

65

4.021

16

2.520

66

4.041

17

2.571

67

4.062

18

2.621

68

4.082

19

2.668

69

4.102

20

2.714

70

4.121

21

2.759

71

4.141

22

2.802

72

4.160

23

2.844

73

4.179

24

2.884

74

4.198

25

2.924

75

4.217

26

2.962

76

4.236

27

3.000

77

4.254

28

3.037

78

4.273

29

3.072

79

4.291

30

3.107

80

4.309

31

3.141

81

4.327

32

3.175

82

4.344

33

3.208

83

4.362

34

3.240

84

4.380

35

3.271

85

4.397

36

3.302

86

4.414

37

3.332

87

4.431

38

3.362

88

4.448

39

3.391

89

4.465

40

3.420

90

4.481

41

3.448

91

4.498

42

3.476

92

4.514

43

3.503

93

4.531

44

3.530

94

4.547

45

3.557

95

4.563

46

3.583

96

4.579

47

3.609

97

4.595

48

3.634

98

4.610

49

3.659

99

4.626

50

3.684

100

4.642

Perfect Cube Root Chart

Number

Cube

Number

Cube

1

1

132651

51

8

2

140608

52

27

3

148877

53

64

4

157464

54

125

5

166375

55

216

6

175616

56

343

7

185193

57

512

8

195112

58

729

9

205379

59

1000

10

216000

60

1331

11

226981

61

1728

12

238328

62

2197

13

250047

63

2744

14

262144

64

3375

15

274625

65

4096

16

287496

66

4913

17

300763

67

5832

18

314432

68

6859

19

328509

69

8000

20

343000

70

9261

21

357911

71

10648

22

373248

72

12167

23

389017

73

13824

24

405224

74

15625

25

421875

75

17576

26

438976

76

19683

27

456533

77

21952

28

474552

78

24389

29

493039

79

27000

30

512000

80

29791

31

531441

81

32768

32

551368

82

35937

33

571787

83

39304

34

592704

84

42875

35

614125

85

46656

36

636056

86

50653

37

658503

87

54872

38

681472

88

59319

39

704969

89

64000

40

729000

90

68921

41

753571

91

74088

42

778688

92

79507

43

804357

93

85184

44

830584

94

91125

45

857375

95

97336

46

884736

96

103823

47

912673

97

110592

48

941192

98

117649

49

970299

99

125000

50

1000000

100

How to Use Cube Root Tables

Finding the cube root of a number one has to simply find the number present in the table and find the corresponding cube root. If the number is not present in the Cube Root Table then you have to use the closest number to the original number and that can be used as an approximation. 

For example: Suppose if we want to find the cube root of 64. To do this, We will first look at the number 64 in the cube root table. The the corresponding number to 64 is 4. This means that 4 4 4 = 64.

Limitations

  1. Accuracy: These cube root table can only provide approximate cube roots of a number. Their accuracy depends on the size and precision in which tables were formed. 
  2. Time Consuming: Finding the cube root of a number in these tables can be a time consuming process. Sometimes, the tables don't have the exact match and at such times close approximations are used. 
  3. Availability: They are not widely available.
  4. Limited Range: These cubic rates tables have very limited range and finding numbers outside these numbers requires other techniques or tools.

Related Links

Frequently Asked Questions on Cube Root Table