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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 result is its cube. Cubes are commonly used in furniture design, architecture, urban planning, etc. In this topic, let us examine the property of the cube of 31.</p>

4 <h2>What is the Cube of 31?</h2>

5 <p>A<a>cube</a><a>of</a>a<a>number</a>is the<a>product</a>of the same number when it is multiplied by itself thrice. Cubes are also known as<a>perfect cubes</a>. The cube of positive numbers is positive and the cube of<a>negative numbers</a>is negative. This is because if we multiply a negative number three times, it results in a negative value. </p>

6 <p>The cubes of positive numbers are positive. The cube of negative numbers is negative because when we multiply a negative number three times it gives a negative number as the result.</p>

7 <ul><li>Cube of 31: 313= 29791</li>

8 <li>Cube of 31 in Exponential form: 313</li>

9 <li>Cube of 31 in Arithmetic form: 31 × 31 × 31</li>

10 </ul><h2>How to Calculate the Value of Cube of 31?</h2>

11 <p>To calculate the cube of a number, you can multiply the number by itself three times. To find the cube of 31 we use the following methods:</p>

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

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

14 <li>Using a Calculator</li>

15 </ul><h2>By Multiplication Method</h2>

16 <p>This method includes the<a>multiplication</a>of the number by itself thrice to find its cube.</p>

17 <p>Use these steps to determine the cube of a number:</p>

18 <p><strong>Step 1:</strong>First write the number.</p>

19 <p>31</p>

20 <p><strong>Step 2:</strong>Multiply 31 by itself to get 312.</p>

21 <p>31 x 31 = 961</p>

22 <p><strong>Step 3:</strong>Multiply 312 with 31 to get 313</p>

23 <p> 961 x 31 = 29791.</p>

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26 <h2>Using a formula (a cube)</h2>

25 <h2>Using a formula (a cube)</h2>

27 <p>This<a>formula</a>is used to find the cube of a number by expanding the<a>expression</a> (a+b)3= a3 + 3a2b + 3ab2 + b3</p>

26 <p>This<a>formula</a>is used to find the cube of a number by expanding the<a>expression</a> (a+b)3= a3 + 3a2b + 3ab2 + b3</p>

28 <p><strong>Step 1:</strong>Cubing a number means, multiplying the number by itself three times</p>

27 <p><strong>Step 1:</strong>Cubing a number means, multiplying the number by itself three times</p>

29 <p>Here a = 31 so: 31 × 31 × 31 = (313)</p>

28 <p>Here a = 31 so: 31 × 31 × 31 = (313)</p>

30 <p><strong>Step 2:</strong>Break the number into two parts (a and b) : 313= (30 + 1)3</p>

29 <p><strong>Step 2:</strong>Break the number into two parts (a and b) : 313= (30 + 1)3</p>

31 <p><strong>Step 3:</strong>Apply the formula: (a + b)3= a3 + 3a2b + 3ab2 + b3 (30+1)3= 303+ 3 (30)2(1) + 3 (30)(1)2 + 13 </p>

30 <p><strong>Step 3:</strong>Apply the formula: (a + b)3= a3 + 3a2b + 3ab2 + b3 (30+1)3= 303+ 3 (30)2(1) + 3 (30)(1)2 + 13 </p>

32 <p><strong>Step4:</strong>Now we calculate each part: 303= 30 x 30 x 30 = 27000 3(30)2(1) = 3 x (30 x 30) x 1 = 3 x 900 = 2700 3(30)(1)2= 3 x 30 x 1 = 90 13= 1</p>

31 <p><strong>Step4:</strong>Now we calculate each part: 303= 30 x 30 x 30 = 27000 3(30)2(1) = 3 x (30 x 30) x 1 = 3 x 900 = 2700 3(30)(1)2= 3 x 30 x 1 = 90 13= 1</p>

33 <p><strong>Step5:</strong>Add the<a>terms</a>: 27000 + 2700 + 90 + 1 = 29791</p>

32 <p><strong>Step5:</strong>Add the<a>terms</a>: 27000 + 2700 + 90 + 1 = 29791</p>

34 <p><strong>Step6:</strong>Final result: 313= 29791</p>

33 <p><strong>Step6:</strong>Final result: 313= 29791</p>

35 <h2>By using Calculator</h2>

34 <h2>By using Calculator</h2>

36 <p>To calculate the cube of 31 using a<a>calculator</a>, you can follow the steps mentioned below to find the answer.</p>

35 <p>To calculate the cube of 31 using a<a>calculator</a>, you can follow the steps mentioned below to find the answer.</p>

37 <p> <strong>Step 1:</strong>Enter the number 31 in the calculator.</p>

36 <p> <strong>Step 1:</strong>Enter the number 31 in the calculator.</p>

38 <p><strong>Step 2:</strong>Press the cube button ( x3) if available, or you can manually type 31 x 31 x 31.</p>

37 <p><strong>Step 2:</strong>Press the cube button ( x3) if available, or you can manually type 31 x 31 x 31.</p>

39 <p><strong>Step 3:</strong>Press the enter button. The calculator will give you the result as 29791.</p>

38 <p><strong>Step 3:</strong>Press the enter button. The calculator will give you the result as 29791.</p>

40 <p>The cube of 31 is 29791. </p>

39 <p>The cube of 31 is 29791. </p>

41 <h2>Tips and Tricks for the Cube of 31</h2>

40 <h2>Tips and Tricks for the Cube of 31</h2>

42 <p>Kids can learn cube of a number quickly by using the following tips and tricks.</p>

41 <p>Kids can learn cube of a number quickly by using the following tips and tricks.</p>

43 <ul><li>The cube of<a>odd numbers</a>will always be an odd number.</li>

42 <ul><li>The cube of<a>odd numbers</a>will always be an odd number.</li>

44 <li>The<a>sum</a>of successive odd numbers can be used to describe perfect cube numbers.</li>

43 <li>The<a>sum</a>of successive odd numbers can be used to describe perfect cube numbers.</li>

45 <li>The cube of a number denotes the volume of a cube.</li>

44 <li>The cube of a number denotes the volume of a cube.</li>

46 </ul><h2>Common Mistakes to Avoid When Calculating the Cube of 31</h2>

45 </ul><h2>Common Mistakes to Avoid When Calculating the Cube of 31</h2>

47 <p>Calculating the cube of a number is an important topic, but students face challenges. Here are a few common mistakes to look out for when cubing a number. </p>

46 <p>Calculating the cube of a number is an important topic, but students face challenges. Here are a few common mistakes to look out for when cubing a number. </p>

47 + <h2>Download Worksheets</h2>

48 <h3>Problem 1</h3>

49 <p>Find the difference between 31³and 30³?</p>

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

51 <p>313= 29791</p>

52 <p>303= 27000</p>

53 <p> 313- 303= 29791 - 27000 = 2791.</p>

54 <h3>Explanation</h3>

55 <p>The cube of 31 is 29791 and the cube of 30 is 27000 the difference between them is 2791.</p>

56 <p>Well explained 👍</p>

57 <h3>Problem 2</h3>

58 <p>A cube of 31cm weighs 2 grams per cubic cm. What is the total weight of the cube?</p>

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

60 <p>Volume(v) = 313= 29791</p>

61 <p>Weight = 29791 × 2 </p>

62 <p>The total weight is, 59582g</p>

63 <h3>Explanation</h3>

64 <p>The volume of a cube whose side is 31cm is 29791 cm3. The total weight of the cube is 59582 grams.</p>

65 <p>Well explained 👍</p>

66 <h3>Problem 3</h3>

67 <p>A cube has a side length of 31cm. What is its volume?</p>

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

69 <p>Volume = side x side x side</p>

70 <p>Volume = 31 x 31 x 31 = 29791</p>

71 <h3>Explanation</h3>

72 <p>The length of each side of a cube is 31. The volume of the cube is side3. The final result is 29791 cm3.</p>

73 <p>Well explained 👍</p>

74 <h3>Problem 4</h3>

75 <p>Simplify (31³)².</p>

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

77 <p>Using the property (am)n = am.n</p>

78 <p>(313)2= 313 . 2 = 316.</p>

79 <h3>Explanation</h3>

80 <p>The rule of exponent states that when we are raising a power to another, we can multiply the exponents. The final answer is 316.</p>

81 <p>Well explained 👍</p>

82 <h3>Problem 5</h3>

83 <p>Simplify (31³+ 2000)</p>

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

85 <p>313= 29791 </p>

86 <p>29791 + 2000 = 31791</p>

87 <h3>Explanation</h3>

88 <p>The cube of 31 is 29,791. Add 2000 the final result is 31,791.</p>

89 <p>Well explained 👍</p>

90 <h2>FAQs on Cube of 31</h2>

91 <h3>1.What is the cube of 31?</h3>

92 <h3>2.What is the cube root of 31?</h3>

93 <p>The<a>cube root</a>of 31 is 3.141. This is an approximate value as 31 is not a perfect cube and cube root of 31 is an<a>irrational number</a>.</p>

94 <h3>3.Is 32 a perfect cube?</h3>

95 <p>No, 32 not a perfect cube.</p>

96 <h3>4.How to find the cube of 31?</h3>

97 <p>A cube of 31 can be found by using the multiplication method, cube number formula, or by using a calculator for faster results </p>

98 <h3>5.What is the cube formula?</h3>

99 <p>The formula of cube is (a + b)3= a3 + 3a2b + 3ab2 + b3</p>

100 <h2>Important glossaries for Cube of 31</h2>

101 <p><strong>Exponent:</strong>It is a way of expressing a number as a power of another. For example, 23, here 2 is the base and 3 is the exponent.</p>

102 <p><strong>Volume:</strong>Volume of an object is the space occupied by a three-dimensional object. For example, the volume of a cube, cuboid. </p>

103 <p><strong>Cube Root:</strong>The cube root is an inverse operation of cubing a number. For example, ∛125 is 5.</p>

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

105 <p>▶</p>

106 <h2>Jaskaran Singh Saluja</h2>

107 <h3>About the Author</h3>

108 <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>

109 <h3>Fun Fact</h3>

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