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1 - <p>1418 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 1.</p>

4 <h2>Cube of 1</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.</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 1 can be written as 1³, which is the<a>exponential form</a>.</p>

10 <p>Or it can also be written in<a>arithmetic</a>form as, 1 × 1 × 1.</p>

11 <h2>How to Calculate the Value of Cube of 1</h2>

12 <p>In order 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 numbers 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. 1³ = 1 × 1 × 1</p>

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

20 <p>Hence, the cube of 1 is 1.</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 1 into two parts, as 0 and 1. Let a = 0 and b = 1, so a + b = 1</p>

24 <p><strong>Step 1:</strong>Split the number 1 into two parts, as 0 and 1. Let a = 0 and b = 1, so a + b = 1</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 = 0³ 3a²b = 3 × 0² × 1 3ab² = 3 × 0 × 1² b³ = 1³</p>

26 <p><strong>Step 3:</strong>Calculate each<a>term</a>a³ = 0³ 3a²b = 3 × 0² × 1 3ab² = 3 × 0 × 1² b³ = 1³</p>

28 <p><strong>Step 4:</strong>Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (0 + 1)³ = 0³ + 3 × 0² × 1 + 3 × 0 × 1² + 1³ 1³ = 0 + 0 + 0 + 1 1³ = 1</p>

27 <p><strong>Step 4:</strong>Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (0 + 1)³ = 0³ + 3 × 0² × 1 + 3 × 0 × 1² + 1³ 1³ = 0 + 0 + 0 + 1 1³ = 1</p>

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

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

30 <h3>Using a Calculator</h3>

29 <h3>Using a Calculator</h3>

31 <p>To find the cube of 1 using a calculator, input the number 1 and use the cube<a>function</a>(if available) or multiply 1 × 1 × 1. This operation calculates the value of 1³, resulting in 1. It’s a quick way to determine the cube without manual computation.</p>

30 <p>To find the cube of 1 using a calculator, input the number 1 and use the cube<a>function</a>(if available) or multiply 1 × 1 × 1. This operation calculates the value of 1³, resulting in 1. 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</p>

32 <p><strong>Step 2:</strong>Press 1</p>

34 <p><strong>Step 3:</strong>If the calculator has a cube function, press it to calculate 1³.</p>

33 <p><strong>Step 3:</strong>If the calculator has a cube function, press it to calculate 1³.</p>

35 <p><strong>Step 4:</strong>If there is no cube function on the calculator, simply multiply 1 three times manually. </p>

34 <p><strong>Step 4:</strong>If there is no cube function on the calculator, simply multiply 1 three times manually. </p>

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

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

37 <h2>Tips and Tricks for the Cube of 1</h2>

36 <h2>Tips and Tricks for the Cube of 1</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 1</h2>

40 </ul><h2>Common Mistakes to Avoid When Calculating the Cube of 1</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 1?</p>

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

46 <p>The cube of 1 is 1 and the cube root of 1 is 1.</p>

47 <h3>Explanation</h3>

48 <p>First, let’s find the cube of 1.</p>

49 <p>We know that the cube of a number, such that 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 1³ = 1 Next, we must find the cube root of 1</p>

52 <p>We know that the cube root of a number ‘x’, such that ³√x = y</p>

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

54 <p>So, we get ³√1 = 1 Hence the cube of 1 is 1 and the cube root of 1 is 1.</p>

55 <p>Well explained 👍</p>

56 <h3>Problem 2</h3>

57 <p>If the side length of the cube is 1 cm, what is the volume?</p>

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

59 <p>The volume is 1 cm³.</p>

60 <h3>Explanation</h3>

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

62 <p>Substitute 1 for the side length: V = 1³ = 1 cm³.</p>

63 <p>Well explained 👍</p>

64 <h3>Problem 3</h3>

65 <p>How much larger is 1³ than 0³?</p>

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

67 <p>1³ - 0³ = 1.</p>

68 <h3>Explanation</h3>

69 <p>First, find the cube of 1³, that is 1</p>

70 <p>Next, find the cube of 0³, which is 0</p>

71 <p>Now, find the difference between them using the subtraction method. 1 - 0 = 1</p>

72 <p>Therefore, 1³ is 1 larger than 0³.</p>

73 <p>Well explained 👍</p>

74 <h3>Problem 4</h3>

75 <p>If a cube with a side length of 1 cm is compared to a cube with a side length of 0.5 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 1 cm is 1 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 1 means multiplying 1 by itself three times: 1 × 1 = 1, and then 1 × 1 = 1.</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 1 cm³.</p>

83 <p>Well explained 👍</p>

84 <h3>Problem 5</h3>

85 <p>Estimate the cube 0.9 using the cube 1.</p>

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

87 <p>The cube of 0.9 is approximately 0.729.</p>

88 <h3>Explanation</h3>

89 <p>First, identify the cube of 1, The cube of 1 is 1³ = 1.</p>

90 <p>Since 0.9 is less than 1, the cube of 0.9 will be less than the cube of 1.</p>

91 <p>The cube of 0.9 is approximately 0.729 because the difference between 0.9 and 1 affects the cubed result.</p>

92 <p>Well explained 👍</p>

93 <h2>FAQs on Cube of 1</h2>

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

95 <p>The perfect cube up to 1 is 1.</p>

96 <h3>2.How do you calculate 1³?</h3>

97 <p>To calculate 1³, use the multiplication method, 1 × 1 × 1, which equals 1.</p>

98 <h3>3.What is the meaning of 1³?</h3>

99 <p>1³ means 1 multiplied by itself three times, or 1 × 1 × 1.</p>

100 <h3>4.What is the cube root of 1?</h3>

101 <h3>5.Is 1 a perfect cube?</h3>

102 <p>Yes, 1 is a perfect cube because 1 multiplied by itself three times equals 1.</p>

103 <h2>Important Glossaries for Cube of 1</h2>

104 <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>

105 </ul><ul><li><strong>Cube of a Number:</strong>Multiplying a number by itself three times is called the cube of a number.</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, 2³ represents 2 × 2 × 2, equaling 8.</li>

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

108 </ul><ul><li><strong>Volume of a Cube:</strong>The amount of space enclosed within a cube, calculated by cubing the side length (Side³).</li>

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

110 <p>▶</p>

111 <h2>Jaskaran Singh Saluja</h2>

112 <h3>About the Author</h3>

113 <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>

114 <h3>Fun Fact</h3>

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