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1 - <p>568 Learners</p>

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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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 8.</p>

4 <h2>Cube of 8</h2>

5 <p>A<a>cube</a><a>number</a>is a value obtained by raising a number to the<a>power</a><a>of</a>3, or by multiplying the number by itself three times. When you cube a positive number, the result is always positive. When you cube a<a>negative number</a>, the result is always negative. This is because a negative number by itself three times results in a negative number.</p>

6 <p>The cube of 8 can be written as 83, which is the<a>exponential form</a>. Or it can also be written in<a>arithmetic</a>form as, 8 × 8 × 8.</p>

7 <h2>How to Calculate the Value of Cube of 8</h2>

8 <p>In order to check whether a number is a cube number or not, we can use the following three methods, such as<a>multiplication</a>method, a<a>factor</a><a>formula</a>(a^3), 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>

9 <ol><li>By Multiplication Method</li>

10 <li>Using a Formula</li>

11 <li>Using a Calculator</li>

12 </ol><h2>By Multiplication Method</h2>

13 <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>

14 <p><strong>Step 1:</strong>Write down the cube of the given number. 83 = 8 × 8 × 8</p>

15 <p><strong>Step 2:</strong>You get 512 as the answer. Hence, the cube of 8 is 512.</p>

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18 <h2>Using a Formula (a^3)</h2>

17 <h2>Using a Formula (a^3)</h2>

19 <p>The formula (a + b)^3 is a<a>binomial</a>formula for finding the cube of a number. The formula is expanded as a^3 + 3a^2b + 3ab^2 + b^3.</p>

18 <p>The formula (a + b)^3 is a<a>binomial</a>formula for finding the cube of a number. The formula is expanded as a^3 + 3a^2b + 3ab^2 + b^3.</p>

20 <p><strong>Step 1:</strong>Split the number 8 into two parts, as and . Let a = 5 and b = 3, so a + b = 8</p>

19 <p><strong>Step 1:</strong>Split the number 8 into two parts, as and . Let a = 5 and b = 3, so a + b = 8</p>

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

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

22 <p><strong>Step 3:</strong>Calculate each<a>term</a>a3 = 53</p>

21 <p><strong>Step 3:</strong>Calculate each<a>term</a>a3 = 53</p>

23 <p>3a2b = 3 × 52 × 3</p>

22 <p>3a2b = 3 × 52 × 3</p>

24 <p>3ab2 = 3 × 5 × 32</p>

23 <p>3ab2 = 3 × 5 × 32</p>

25 <p>b3 = 33</p>

24 <p>b3 = 33</p>

26 <p><strong>Step 4:</strong>Add all the terms together: (a + b)3 = a3 + 3a2b + 3ab2 + b3</p>

25 <p><strong>Step 4:</strong>Add all the terms together: (a + b)3 = a3 + 3a2b + 3ab2 + b3</p>

27 <p>(5 + 3)3 = 53 + 3 × 52 × 3 + 3 × 5 × 32 + 33</p>

26 <p>(5 + 3)3 = 53 + 3 × 52 × 3 + 3 × 5 × 32 + 33</p>

28 <p>83 = 125 + 225 + 135 + 27</p>

27 <p>83 = 125 + 225 + 135 + 27</p>

29 <p>83 = 512</p>

28 <p>83 = 512</p>

30 <p><strong>Step 5:</strong>Hence, the cube of 8 is 512.</p>

29 <p><strong>Step 5:</strong>Hence, the cube of 8 is 512.</p>

31 <h2>Using a Calculator</h2>

30 <h2>Using a Calculator</h2>

32 <p>To find the cube of 8 using a calculator, input the number 8 and use the cube<a>function</a>(if available) or multiply 8 × 8 × 8. This operation calculates the value of 8^3, resulting in 512. It’s a quick way to determine the cube without manual computation.</p>

31 <p>To find the cube of 8 using a calculator, input the number 8 and use the cube<a>function</a>(if available) or multiply 8 × 8 × 8. This operation calculates the value of 8^3, resulting in 512. It’s a quick way to determine the cube without manual computation.</p>

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

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

34 <p><strong>Step 2:</strong>Press 8</p>

33 <p><strong>Step 2:</strong>Press 8</p>

35 <p><strong>Step 3:</strong>If the calculator has a cube function, press it to calculate 83.</p>

34 <p><strong>Step 3:</strong>If the calculator has a cube function, press it to calculate 83.</p>

36 <p><strong>Step 4:</strong>If there is no cube function on the calculator, simply multiply 8 three times manually.</p>

35 <p><strong>Step 4:</strong>If there is no cube function on the calculator, simply multiply 8 three times manually.</p>

37 <p><strong>Step 5:</strong>The calculator will display 512.</p>

36 <p><strong>Step 5:</strong>The calculator will display 512.</p>

38 <h2>Tips and Tricks for the Cube of 8</h2>

37 <h2>Tips and Tricks for the Cube of 8</h2>

39 <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>

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>

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

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

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

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

42 </ul><h2>Common Mistakes to Avoid When Calculating the Cube of 8</h2>

41 </ul><h2>Common Mistakes to Avoid When Calculating the Cube of 8</h2>

43 <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 <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>

43 + <h2>Download Worksheets</h2>

44 <h3>Problem 1</h3>

45 <p>What is the cube and cube root of 8?</p>

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

47 <p>The cube of 8 is 512 and the cube root of 8 is 2.</p>

48 <h3>Explanation</h3>

49 <p>First, let’s find the cube of 8. We know that cube of a number , such that x3 = y Where x is the given number, and y is the cubed value of that number</p>

50 <p>So, we get 83 = 512</p>

51 <p>Next, we must find the cube root of 8 We know that cube root of a number ‘x’, such that ∛x = y Where ‘x’ is the given number, and y is the cube root value of the number</p>

52 <p>So, we get ∛8 = 2</p>

53 <p>Hence the cube of 8 is 512 and the cube root of 8 is 2.</p>

54 <p>Well explained 👍</p>

55 <h3>Problem 2</h3>

56 <p>If the side length of the cube is 8 cm, what is the volume?</p>

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

58 <p>The volume is 512 cm^3.</p>

59 <h3>Explanation</h3>

60 <p>Use the volume formula for a cube V = Side3. Substitute 8 for the side length: V = 83 = 512 cm3.</p>

61 <p>Well explained 👍</p>

62 <h3>Problem 3</h3>

63 <p>How much larger is 8^3 than 5^3?</p>

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

65 <p>83 - 53 = 387.</p>

66 <h3>Explanation</h3>

67 <p>First find the cube of 83, that is 512</p>

68 <p>Next, find the cube of 53, which is 125</p>

69 <p>Now, find the difference between them using the subtraction method. 512 - 125 = 387</p>

70 <p>Therefore, 83 is 387 larger than 5^3.</p>

71 <p>Well explained 👍</p>

72 <h3>Problem 4</h3>

73 <p>If a cube with a side length of 8 cm is compared to a cube with a side length of 2 cm, how much larger is the volume of the larger cube?</p>

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

75 <p>The volume of the cube with a side length of 8 cm is 512 cm3</p>

76 <h3>Explanation</h3>

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

78 <p>Cubing 8 means multiplying 8 by itself three times: 8 × 8 = 64, and then 64 × 8 = 512</p>

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

80 <p>Therefore, the volume of the cube is 512 cm3.</p>

81 <p>Well explained 👍</p>

82 <h3>Problem 5</h3>

83 <p>Estimate the cube 7.9 using the cube 8.</p>

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

85 <p>The cube of 7.9 is approximately 512.</p>

86 <h3>Explanation</h3>

87 <p>First, identify the cube of 8, The cube of 8 is 83 = 512.</p>

88 <p>Since 7.9 is only a tiny bit less than 8, the cube of 7.9 will be almost the same as the cube of 8.</p>

89 <p>The cube of 7.9 is approximately 512 because the difference between 7.9 and 8 is very small.</p>

90 <p>So, we can approximate the value as 512.</p>

91 <p>Well explained 👍</p>

92 <h2>FAQs on Cube of 8</h2>

93 <h3>1.What are the perfect cubes up to 8?</h3>

94 <p>The perfect cubes up to 8 are 1 and 8.</p>

95 <h3>2.How do you calculate 8^3?</h3>

96 <p>To calculate 83, use the multiplication method, 8 × 8 × 8, which equals 512.</p>

97 <h3>3.What is the meaning of 8^3?</h3>

98 <p>83 means 8 multiplied by itself three times, or 8 × 8 × 8.</p>

99 <h3>4.What is the cube root of 8?</h3>

100 <h3>5.Is 8 a perfect cube?</h3>

101 <p>Yes, 8 is a perfect cube because 2 multiplied by itself three times equals 8.</p>

102 <h2>Important Glossaries for Cube of 8</h2>

103 <ul><li><strong>Binomial Formula:</strong>It is 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>

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

105 </ul><ul><li><strong>Perfect Cube:</strong>A number that can be expressed as an integer multiplied by itself three times.</li>

106 </ul><ul><li><strong>Exponential Form:</strong>It is 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, 83 represents 8 × 8 × 8 equals 512.</li>

107 </ul><ul><li><strong>Volume Formula for a Cube:</strong>The volume of a cube is calculated as the cube of its side length, expressed as V = Side3.</li>

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

109 <p>▶</p>

110 <h2>Jaskaran Singh Saluja</h2>

111 <h3>About the Author</h3>

112 <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>

113 <h3>Fun Fact</h3>

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