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1 - <p>178 Learners</p>

1 + <p>201 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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 398.</p>

4 <h2>Cube of 398</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 398 can be written as 398³, which is the<a>exponential form</a>.</p>

10 <p>Or it can also be written in<a>arithmetic</a>form as 398 × 398 × 398.</p>

11 <h2>How to Calculate the Value of Cube of 398</h2>

12 <p>In order to check whether a number is a cube number or not, we can use the following three methods:<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 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. 398³ = 398 × 398 × 398</p>

19 <p><strong>Step 2:</strong>You get 63,113,992 as the answer. Hence, the cube of 398 is 63,113,992.</p>

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22 <h3>Using a Formula (a³)</h3>

21 <h3>Using a Formula (a³)</h3>

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>

22 <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>

24 <p><strong>Step 1:</strong>Split the number 398 into two parts, as a and b. Let a = 390 and b = 8, so a + b = 398</p>

23 <p><strong>Step 1:</strong>Split the number 398 into two parts, as a and b. Let a = 390 and b = 8, so a + b = 398</p>

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

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

26 <p><strong>Step 3:</strong>Calculate each<a>term</a>a³ = 390³ 3a²b = 3 × 390² × 8 3ab² = 3 × 390 × 8² b³ = 8³</p>

25 <p><strong>Step 3:</strong>Calculate each<a>term</a>a³ = 390³ 3a²b = 3 × 390² × 8 3ab² = 3 × 390 × 8² b³ = 8³</p>

27 <p><strong>Step 4:</strong>Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (390 + 8)³ = 390³ + 3 × 390² × 8 + 3 × 390 × 8² + 8³ 398³ = 59,319,000 + 36,504 + 7,488 + 512 398³ = 63,113,992</p>

26 <p><strong>Step 4:</strong>Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (390 + 8)³ = 390³ + 3 × 390² × 8 + 3 × 390 × 8² + 8³ 398³ = 59,319,000 + 36,504 + 7,488 + 512 398³ = 63,113,992</p>

28 <p><strong>Step 5:</strong>Hence, the cube of 398 is 63,113,992.</p>

27 <p><strong>Step 5:</strong>Hence, the cube of 398 is 63,113,992.</p>

29 <h3>Using a Calculator</h3>

28 <h3>Using a Calculator</h3>

30 <p>To find the cube of 398 using a calculator, input the number 398 and use the cube<a>function</a>(if available) or multiply 398 × 398 × 398. This operation calculates the value of 398³, resulting in 63,113,992. It’s a quick way to determine the cube without manual computation.</p>

29 <p>To find the cube of 398 using a calculator, input the number 398 and use the cube<a>function</a>(if available) or multiply 398 × 398 × 398. This operation calculates the value of 398³, resulting in 63,113,992. It’s a quick way to determine the cube without manual computation.</p>

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

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

32 <p><strong>Step 2:</strong>Press 3 followed by 9 and 8</p>

31 <p><strong>Step 2:</strong>Press 3 followed by 9 and 8</p>

33 <p><strong>Step 3:</strong>If the calculator has a cube function, press it to calculate 398³.</p>

32 <p><strong>Step 3:</strong>If the calculator has a cube function, press it to calculate 398³.</p>

34 <p><strong>Step 4:</strong>If there is no cube function on the calculator, simply multiply 398 three times manually.</p>

33 <p><strong>Step 4:</strong>If there is no cube function on the calculator, simply multiply 398 three times manually.</p>

35 <p><strong>Step 5:</strong>The calculator will display 63,113,992.</p>

34 <p><strong>Step 5:</strong>The calculator will display 63,113,992.</p>

36 <h2>Tips and Tricks for the Cube of 398</h2>

35 <h2>Tips and Tricks for the Cube of 398</h2>

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

36 <p>The cube of any<a>even number</a>is always even, while the cube of any<a>odd number</a>is always odd.</p>

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

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

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

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

40 <h2>Common Mistakes to Avoid When Calculating the Cube of 398</h2>

39 <h2>Common Mistakes to Avoid When Calculating the Cube of 398</h2>

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>

40 <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 + <h2>Download Worksheets</h2>

42 <h3>Problem 1</h3>

43 <p>What is the cube and cube root of 398?</p>

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

45 <p>The cube of 398 is 63,113,992 and the cube root of 398 is approximately 7.368.</p>

46 <h3>Explanation</h3>

47 <p>First, let’s find the cube of 398.</p>

48 <p>We know that the cube of a number is such that x³ = y</p>

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

50 <p>So, we get 398³ = 63,113,992. Next, we must find the cube root of 398.</p>

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

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

53 <p>So, we get ∛398 ≈ 7.368.</p>

54 <p>Hence the cube of 398 is 63,113,992 and the cube root of 398 is approximately 7.368.</p>

55 <p>Well explained 👍</p>

56 <h3>Problem 2</h3>

57 <p>If the side length of the cube is 398 cm, what is the volume?</p>

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

59 <p>The volume is 63,113,992 cm³.</p>

60 <h3>Explanation</h3>

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

62 <p>Substitute 398 for the side length: V = 398³ = 63,113,992 cm³.</p>

63 <p>Well explained 👍</p>

64 <h3>Problem 3</h3>

65 <p>How much larger is 398³ than 298³?</p>

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

67 <p>398³ - 298³ = 59,395,728.</p>

68 <h3>Explanation</h3>

69 <p>First, find the cube of 398³, which is 63,113,992.</p>

70 <p>Next, find the cube of 298³, which is 3,718,264.</p>

71 <p>Now, find the difference between them using the subtraction method. 63,113,992 - 3,718,264 = 59,395,728.</p>

72 <p>Therefore, 398³ is 59,395,728 larger than 298³.</p>

73 <p>Well explained 👍</p>

74 <h3>Problem 4</h3>

75 <p>If a cube with a side length of 398 cm is compared to a cube with a side length of 98 cm, how much larger is the volume of the larger cube?</p>

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

77 <p>The volume of the cube with a side length of 398 cm is 63,113,992 cm³.</p>

78 <h3>Explanation</h3>

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

80 <p>Cubing 398 means multiplying 398 by itself three times: 398 × 398 = 158,404, and then 158,404 × 398 = 63,113,992.</p>

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

82 <p>Therefore, the volume of the cube is 63,113,992 cm³.</p>

83 <p>Well explained 👍</p>

84 <h3>Problem 5</h3>

85 <p>Estimate the cube 397.5 using the cube 398.</p>

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

87 <p>The cube of 397.5 is approximately 63,113,992.</p>

88 <h3>Explanation</h3>

89 <p>First, identify the cube of 398. The cube of 398 is 398³ = 63,113,992.</p>

90 <p>Since 397.5 is only a tiny bit less than 398, the cube of 397.5 will be almost the same as the cube of 398.</p>

91 <p>The cube of 397.5 is approximately 63,113,992 because the difference between 397.5 and 398 is very small.</p>

92 <p>So, we can approximate the value as 63,113,992.</p>

93 <p>Well explained 👍</p>

94 <h2>FAQs on Cube of 398</h2>

95 <h3>1.What are the perfect cubes up to 398?</h3>

96 <p>The perfect cubes up to 398 include 1, 8, 27, 64, 125, 216, and 343.</p>

97 <h3>2.How do you calculate 398³?</h3>

98 <p>To calculate 398³, use the multiplication method: 398 × 398 × 398, which equals 63,113,992.</p>

99 <h3>3.What is the meaning of 398³?</h3>

100 <p>398³ means 398 multiplied by itself three times, or 398 × 398 × 398.</p>

101 <h3>4.What is the cube root of 398?</h3>

102 <h3>5.Is 398 a perfect cube?</h3>

103 <p>No, 398 is not a perfect cube because no<a>integer</a>multiplied by itself three times equals 398.</p>

104 <h2>Important Glossaries for Cube of 398</h2>

105 <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>

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

107 </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, 3³ represents 3 × 3 × 3 equals 27.</li>

108 </ul><ul><li><strong>Multiplication Method:</strong>A fundamental mathematical process used to find the product of numbers by repeated addition.</li>

109 </ul><ul><li><strong>Perfect Cube:</strong>A number that can be expressed as the cube of an integer, such as 1, 8, 27, etc.</li>

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

111 <p>▶</p>

112 <h2>Jaskaran Singh Saluja</h2>

113 <h3>About the Author</h3>

114 <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>

115 <h3>Fun Fact</h3>

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