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1 - <p>221 Learners</p>

1 + <p>260 Learners</p>

2 <p>Last updated on<strong>August 5, 2025</strong></p>

3 <p>When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 107.</p>

4 <h2>Cube of 107</h2>

5 <p>A<a>cube</a><a>number</a>is a value obtained by raising a number to the<a>power</a>of 3, or by multiplying the number by itself three times.</p>

6 <p>When you cube a positive number, the result is always positive.</p>

7 <p>When you cube a<a>negative number</a>, the result is always negative.</p>

8 <p>This is because a negative number multiplied by itself three times results in a negative number.</p>

9 <p>The cube of 107 can be written as 107³, which is the<a>exponential form</a>.</p>

10 <p>Or it can also be written in<a>arithmetic</a>form as 107 × 107 × 107.</p>

11 <h2>How to Calculate the Value of the Cube of 107</h2>

12 <p>To check whether a number is a cube number or not, we can use the following three methods: the<a>multiplication</a>method, a<a>factor</a><a>formula</a>(a³), or by using a<a>calculator</a>. These three methods will help kids to cube the numbers faster and easier without feeling confused or stuck while evaluating the answers. </p>

13 <ul><li>By Multiplication Method </li>

14 <li>Using a Formula (a3) </li>

15 <li>Using a Calculator</li>

16 </ul><h3>By Multiplication Method</h3>

17 <p>The multiplication method is a process in mathematics used to find the<a>product</a>of two numbers or quantities by combining them through repeated<a>addition</a>. It is a fundamental operation that forms the basis for more complex mathematical concepts.</p>

18 <p><strong>Step 1:</strong>Write down the cube of the given number. 107³ = 107 × 107 × 107</p>

19 <p><strong>Step 2:</strong>You get 1,224,463 as the answer.</p>

20 <p>Hence, the cube of 107 is 1,224,463.</p>

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23 <h3>Using a Formula (a³)</h3>

22 <h3>Using a Formula (a³)</h3>

24 <p>The formula (a + b)³ is a<a>binomial</a>formula for finding the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³.</p>

23 <p>The formula (a + b)³ is a<a>binomial</a>formula for finding the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³.</p>

25 <p><strong>Step 1:</strong>Split the number 107 into two parts. Let a = 100 and b = 7, so a + b = 107</p>

24 <p><strong>Step 1:</strong>Split the number 107 into two parts. Let a = 100 and b = 7, so a + b = 107</p>

26 <p><strong>Step 2:</strong>Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³</p>

25 <p><strong>Step 2:</strong>Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³</p>

27 <p><strong>Step 3:</strong>Calculate each<a>term</a>a³ = 100³ 3a²b = 3 × 100² × 7 3ab² = 3 × 100 × 7² b³ = 7³</p>

26 <p><strong>Step 3:</strong>Calculate each<a>term</a>a³ = 100³ 3a²b = 3 × 100² × 7 3ab² = 3 × 100 × 7² b³ = 7³</p>

28 <p><strong>Step 4:</strong>Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (100 + 7)³ = 100³ + 3 × 100² × 7 + 3 × 100 × 7² + 7³ 107³ = 1,000,000 + 210,000 + 14,700 + 343 107³ = 1,224,463</p>

27 <p><strong>Step 4:</strong>Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (100 + 7)³ = 100³ + 3 × 100² × 7 + 3 × 100 × 7² + 7³ 107³ = 1,000,000 + 210,000 + 14,700 + 343 107³ = 1,224,463</p>

29 <p><strong>Step 5:</strong>Hence, the cube of 107 is 1,224,463.</p>

28 <p><strong>Step 5:</strong>Hence, the cube of 107 is 1,224,463.</p>

30 <h3>Using a Calculator</h3>

29 <h3>Using a Calculator</h3>

31 <p>To find the cube of 107 using a calculator, input the number 107 and use the cube<a>function</a>(if available) or multiply 107 × 107 × 107. This operation calculates the value of 107³, resulting in 1,224,463. It’s a quick way to determine the cube without manual computation.</p>

30 <p>To find the cube of 107 using a calculator, input the number 107 and use the cube<a>function</a>(if available) or multiply 107 × 107 × 107. This operation calculates the value of 107³, resulting in 1,224,463. It’s a quick way to determine the cube without manual computation.</p>

32 <p><strong>Step 1:</strong>Ensure the calculator is functioning properly.</p>

31 <p><strong>Step 1:</strong>Ensure the calculator is functioning properly.</p>

33 <p><strong>Step 2:</strong>Press 1 followed by 0 and 7.</p>

32 <p><strong>Step 2:</strong>Press 1 followed by 0 and 7.</p>

34 <p><strong>Step 3:</strong>If the calculator has a cube function, press it to calculate 107³.</p>

33 <p><strong>Step 3:</strong>If the calculator has a cube function, press it to calculate 107³.</p>

35 <p><strong>Step 4:</strong>If there is no cube function on the calculator, simply multiply 107 three times manually.</p>

34 <p><strong>Step 4:</strong>If there is no cube function on the calculator, simply multiply 107 three times manually.</p>

36 <p><strong>Step 5:</strong>The calculator will display 1,224,463.</p>

35 <p><strong>Step 5:</strong>The calculator will display 1,224,463.</p>

37 <h2>Tips and Tricks for the Cube of 107</h2>

36 <h2>Tips and Tricks for the Cube of 107</h2>

38 <ul><li>The cube of any<a>even number</a>is always even, while the cube of any<a>odd number</a>is always odd. </li>

37 <ul><li>The cube of any<a>even number</a>is always even, while the cube of any<a>odd number</a>is always odd. </li>

39 <li>The product of two or more<a>perfect cube</a>numbers is always a perfect cube. </li>

38 <li>The product of two or more<a>perfect cube</a>numbers is always a perfect cube. </li>

40 <li>A perfect cube can always be expressed as the product of three identical groups of equal<a>prime factors</a>.</li>

39 <li>A perfect cube can always be expressed as the product of three identical groups of equal<a>prime factors</a>.</li>

41 </ul><h2>Common Mistakes to Avoid When Calculating the Cube of 107</h2>

40 </ul><h2>Common Mistakes to Avoid When Calculating the Cube of 107</h2>

42 <p>There are some typical errors that kids might make during the process of cubing a number. Let us take a look at five of the major mistakes that kids might make:</p>

41 <p>There are some typical errors that kids might make during the process of cubing a number. Let us take a look at five of the major mistakes that kids might make:</p>

42 + <h2>Download Worksheets</h2>

43 <h3>Problem 1</h3>

44 <p>What is the cube and cube root of 107?</p>

45 <p>Okay, lets begin</p>

46 <p>The cube of 107 is 1,224,463 and the cube root of 107 is approximately 4.732.</p>

47 <h3>Explanation</h3>

48 <p>First, let’s find the cube of 107.</p>

49 <p>We know that the cube of a number is expressed as x³ = y</p>

50 <p>Where x is the given number, and y is the cubed value of that number.</p>

51 <p>So, we get 107³ = 1,224,463.</p>

52 <p>Next, we must find the cube root of 107.</p>

53 <p>We know that the cube root of a number ‘x’ is expressed as ∛x = y</p>

54 <p>Where ‘x’ is the given number, and y is the cube root value of the number.</p>

55 <p>So, we get ∛107 ≈ 4.732.</p>

56 <p>Hence, the cube of 107 is 1,224,463 and the cube root of 107 is approximately 4.732.</p>

57 <p>Well explained 👍</p>

58 <h3>Problem 2</h3>

59 <p>If the side length of the cube is 107 cm, what is the volume?</p>

60 <p>Okay, lets begin</p>

61 <p>The volume is 1,224,463 cm³.</p>

62 <h3>Explanation</h3>

63 <p>Use the volume formula for a cube V = Side³.</p>

64 <p>Substitute 107 for the side length: V = 107³ = 1,224,463 cm³.</p>

65 <p>Well explained 👍</p>

66 <h3>Problem 3</h3>

67 <p>How much larger is 107³ than 97³?</p>

68 <p>Okay, lets begin</p>

69 <p>107³ - 97³ = 531,103.</p>

70 <h3>Explanation</h3>

71 <p>First, find the cube of 107³, which is 1,224,463.</p>

72 <p>Next, find the cube of 97³, which is 693,360.</p>

73 <p>Now, find the difference between them using the subtraction method. 1,224,463 - 693,360 = 531,103.</p>

74 <p>Therefore, 107³ is 531,103 larger than 97³.</p>

75 <p>Well explained 👍</p>

76 <h3>Problem 4</h3>

77 <p>If a cube with a side length of 107 cm is compared to a cube with a side length of 17 cm, how much larger is the volume of the larger cube?</p>

78 <p>Okay, lets begin</p>

79 <p>The volume of the cube with a side length of 107 cm is 1,224,463 cm³.</p>

80 <h3>Explanation</h3>

81 <p>To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).</p>

82 <p>Cubing 107 means multiplying 107 by itself three times: 107 × 107 = 11,449, and then 11,449 × 107 = 1,224,463.</p>

83 <p>The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.</p>

84 <p>Therefore, the volume of the cube is 1,224,463 cm³.</p>

85 <p>Well explained 👍</p>

86 <h3>Problem 5</h3>

87 <p>Estimate the cube of 106.9 using the cube of 107.</p>

88 <p>Okay, lets begin</p>

89 <p>The cube of 106.9 is approximately 1,224,463.</p>

90 <h3>Explanation</h3>

91 <p>First, identify the cube of 107. The cube of 107 is 107³ = 1,224,463.</p>

92 <p>Since 106.9 is only a tiny bit less than 107, the cube of 106.9 will be almost the same as the cube of 107.</p>

93 <p>The cube of 106.9 is approximately 1,224,463 because the difference between 106.9 and 107 is very small.</p>

94 <p>So, we can approximate the value as 1,224,463.</p>

95 <p>Well explained 👍</p>

96 <h2>FAQs on Cube of 107</h2>

97 <h3>1.What are the perfect cubes up to 107?</h3>

98 <p>The perfect cubes up to 107 are 1, 8, 27, 64, and 125.</p>

99 <h3>2.How do you calculate 107³?</h3>

100 <p>To calculate 107³, use the multiplication method, 107 × 107 × 107, which equals 1,224,463.</p>

101 <h3>3.What is the meaning of 107³?</h3>

102 <p>107³ means 107 multiplied by itself three times or 107 × 107 × 107.</p>

103 <h3>4.What is the cube root of 107?</h3>

104 <h3>5.Is 107 a perfect cube?</h3>

105 <p>No, 107 is not a perfect cube because no<a>integer</a>multiplied by itself three times equals 107.</p>

106 <h2>Important Glossaries for Cube of 107</h2>

107 <ul><li><strong>Binomial Formula:</strong>An algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.</li>

108 </ul><ul><li><strong>Cube of a Number:</strong>Multiplying a number by itself three times is called the cube of a number.</li>

109 </ul><ul><li><strong>Exponential Form:</strong>A way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals 8.</li>

110 </ul><ul><li><strong>Volume of a Cube:</strong>The amount of space enclosed within a cube, calculated as the side length raised to the third power (Side³).</li>

111 </ul><ul><li><strong>Perfect Cube:</strong>A number that can be expressed as the cube of an integer.</li>

112 </ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>

113 <p>▶</p>

114 <h2>Jaskaran Singh Saluja</h2>

115 <h3>About the Author</h3>

116 <p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>

117 <h3>Fun Fact</h3>

118 <p>: He loves to play the quiz with kids through algebra to make kids love it.</p>