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1 - <p>173 Learners</p>

1 + <p>188 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 cubes of 698.</p>

4 <h2>Cube of 698</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. 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 698 can be written as 6983, which is the<a>exponential form</a>. Or it can also be written in<a>arithmetic</a>form as, 698 × 698 × 698.</p>

7 <h2>How to Calculate the Value of Cube of 698</h2>

8 <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>(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. 698^3 = 698 × 698 × 698</p>

15 <p><strong>Step 2:</strong>You get 340,482,152 as the answer. Hence, the cube of 698 is 340,482,152.</p>

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18 <h2>Using a Formula (a³)</h2>

17 <h2>Using a Formula (a³)</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 a3 + 3a2b + 3ab2 + b3</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 a3 + 3a2b + 3ab2 + b3</p>

20 <p><strong>Step 1:</strong>Split the number 698 into two parts, as 600 and 98. Let a = 600 and b = 98, so a + b = 698</p>

19 <p><strong>Step 1:</strong>Split the number 698 into two parts, as 600 and 98. Let a = 600 and b = 98, so a + b = 698</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 = 6003</p>

21 <p><strong>Step 3:</strong>Calculate each<a>term</a>a3 = 6003</p>

23 <p>3a2b = 3 × 6002 × 98</p>

22 <p>3a2b = 3 × 6002 × 98</p>

24 <p>3ab2 = 3 × 600 × 982</p>

23 <p>3ab2 = 3 × 600 × 982</p>

25 <p>b3 = 983</p>

24 <p>b3 = 983</p>

26 <p><strong>Step 4:</strong>Add all the terms together:</p>

25 <p><strong>Step 4:</strong>Add all the terms together:</p>

27 <p>(a + b)3 = a3 + 3a2b + 3ab2 + b3</p>

26 <p>(a + b)3 = a3 + 3a2b + 3ab2 + b3</p>

28 <p>(600 + 98)3 = 6003 + 3 × 6002 × 98 + 3 × 600 × 982 + 983</p>

27 <p>(600 + 98)3 = 6003 + 3 × 6002 × 98 + 3 × 600 × 982 + 983</p>

29 <p>6983 = 216,000,000 + 105,840,000 + 17,304,000 + 941,192</p>

28 <p>6983 = 216,000,000 + 105,840,000 + 17,304,000 + 941,192</p>

30 <p>6983 = 340,482,152</p>

29 <p>6983 = 340,482,152</p>

31 <p><strong>Step 5:</strong>Hence, the cube of 698 is 340,482,152.</p>

30 <p><strong>Step 5:</strong>Hence, the cube of 698 is 340,482,152.</p>

32 <h2>Using a Calculator</h2>

31 <h2>Using a Calculator</h2>

33 <p>To find the cube of 698 using a calculator, input the number 698 and use the cube<a>function</a>(if available) or multiply 698 × 698 × 698. This operation calculates the value of 6983, resulting in 340,482,152. It’s a quick way to determine the cube without manual computation.</p>

32 <p>To find the cube of 698 using a calculator, input the number 698 and use the cube<a>function</a>(if available) or multiply 698 × 698 × 698. This operation calculates the value of 6983, resulting in 340,482,152. It’s a quick way to determine the cube without manual computation.</p>

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

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

35 <p><strong>Step 2:</strong>Input 698</p>

34 <p><strong>Step 2:</strong>Input 698</p>

36 <p><strong>Step 3:</strong>If the calculator has a cube function, press it to calculate 6983.</p>

35 <p><strong>Step 3:</strong>If the calculator has a cube function, press it to calculate 6983.</p>

37 <p><strong>Step 4:</strong>If there is no cube function on the calculator, simply multiply 698 three times manually.</p>

36 <p><strong>Step 4:</strong>If there is no cube function on the calculator, simply multiply 698 three times manually.</p>

38 <p><strong>Step 5:</strong>The calculator will display 340,482,152.</p>

37 <p><strong>Step 5:</strong>The calculator will display 340,482,152.</p>

39 <h2>Tips and Tricks for the Cube of 698</h2>

38 <h2>Tips and Tricks for the Cube of 698</h2>

40 <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 <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>

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

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

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

43 </ul><h2>Common Mistakes to Avoid When Calculating the Cube of 698</h2>

42 </ul><h2>Common Mistakes to Avoid When Calculating the Cube of 698</h2>

44 <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 <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>

44 + <h2>Download Worksheets</h2>

45 <h3>Problem 1</h3>

46 <p>What is the cube and cube root of 698?</p>

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

48 <p>The cube of 698 is 340,482,152 and the cube root of 698 is approximately 8.845.</p>

49 <h3>Explanation</h3>

50 <p>First, let’s find the cube of 698.</p>

51 <p>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>

52 <p>So, we get 6983 = 340,482,152</p>

53 <p>Next, we must find the cube root of 698 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>

54 <p>So, we get ∛698 ≈ 8.845</p>

55 <p>Hence, the cube of 698 is 340,482,152 and the cube root of 698 is approximately 8.845.</p>

56 <p>Well explained 👍</p>

57 <h3>Problem 2</h3>

58 <p>If the side length of the cube is 698 cm, what is the volume?</p>

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

60 <p>The volume is 340,482,152 cm3.</p>

61 <h3>Explanation</h3>

62 <p>Use the volume formula for a cube V = Side3. Substitute 698 for the side length: V = 6983 = 340,482,152 cm3</p>

63 <p>Well explained 👍</p>

64 <h3>Problem 3</h3>

65 <p>How much larger is 698^3 than 598³?</p>

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

67 <p>6983 - 5983 = 182,944,152.</p>

68 <h3>Explanation</h3>

69 <p>First find the cube of 698, that is 340,482,152</p>

70 <p>Next, find the cube of 598, which is 157,538,000</p>

71 <p>Now, find the difference between them using the subtraction method. 340,482,152 - 157,538,000 = 182,944,152</p>

72 <p>Therefore, 698<strong>3</strong>is 182,944,152 larger than 598<strong>3</strong>.</p>

73 <p>Well explained 👍</p>

74 <h3>Problem 4</h3>

75 <p>If a cube with a side length of 698 cm is compared to a cube with a side length of 100 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 698 cm is 340,482,152 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 698 means multiplying 698 by itself three times: 698 × 698 = 487,204, and then 487,204 × 698 = 340,482,152.</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 340,482,152 cm3.</p>

83 <p>Well explained 👍</p>

84 <h3>Problem 5</h3>

85 <p>Estimate the cube 697.5 using the cube 698.</p>

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

87 <p>The cube of 697.5 is approximately 340,482,152.</p>

88 <h3>Explanation</h3>

89 <p>First, identify the cube of 698, The cube of 698 is 6983 = 340,482,152.</p>

90 <p>Since 697.5 is only a tiny bit less than 698, the cube of 697.5 will be almost the same as the cube of 698.</p>

91 <p>The cube of 697.5 is approximately 340,482,152 because the difference between 697.5 and 698 is very small.</p>

92 <p>So, we can approximate the value as 340,482,152.</p>

93 <p>Well explained 👍</p>

94 <h2>FAQs on Cube of 698</h2>

95 <h3>1.What are the perfect cubes up to 698?</h3>

96 <p>The perfect cubes up to 698 include 1, 8, 27, 64, 125, 216, 343, and 512.</p>

97 <h3>2.How do you calculate 698³?</h3>

98 <p>To calculate 6983, use the multiplication method, 698 × 698 × 698, which equals 340,482,152.</p>

99 <h3>3.What is the meaning of 698³?</h3>

100 <p>6983 means 698 multiplied by itself three times, or 698 × 698 × 698.</p>

101 <h3>4.What is the cube root of 698?</h3>

102 <h3>5.Is 698 a perfect cube?</h3>

103 <p>No, 698 is not a perfect cube because no<a>integer</a>multiplied by itself three times equals 698.</p>

104 <h2>Important Glossaries for Cube of 698</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, 23 represents 2 × 2 × 2 equals 8.</li>

108 </ul><ul><li><strong>Perfect Cube:</strong>A number that can be expressed as the product of an integer multiplied by itself twice more, such as 27 (3 × 3 × 3).</li>

109 </ul><ul><li><strong>Cube Root:</strong>The value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3.</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>