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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 -18.</p>

4 <h2>Cube of -18</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 multiplying a negative number by itself three times results in a negative number. The cube of -18 can be written as (-18)³, which is the<a>exponential form</a>. Or it can also be written in<a>arithmetic</a>form as -18 × -18 × -18.</p>

6 <h2>How to Calculate the Value of Cube of -18</h2>

7 <p>In order to calculate 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 students to cube the numbers faster and easier without feeling confused or stuck while evaluating the answers. By Multiplication Method Using a Formula Using a Calculator</p>

8 <h2>By Multiplication Method</h2>

9 <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. Step 1: Write down the cube of the given number. (-18)³ = -18 × -18 × -18 Step 2: You get -5,832 as the answer. Hence, the cube of -18 is -5,832.</p>

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12 <h2>Using a Formula (a³)</h2>

11 <h2>Using a Formula (a³)</h2>

13 <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. Step 1: Split the number -18 into two parts, as -20 and 2. Let a = -20 and b = 2, so a + b = -18 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each<a>term</a>a³ = (-20)³ 3a²b = 3 × (-20)² × 2 3ab² = 3 × (-20) × 2² b³ = 2³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (-20 + 2)³ = (-20)³ + 3 × (-20)² × 2 + 3 × (-20) × 2² + 2³ (-18)³ = -8,000 + 2,400 - 240 + 8 (-18)³ = -5,832 Step 5: Hence, the cube of -18 is -5,832.</p>

12 <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. Step 1: Split the number -18 into two parts, as -20 and 2. Let a = -20 and b = 2, so a + b = -18 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each<a>term</a>a³ = (-20)³ 3a²b = 3 × (-20)² × 2 3ab² = 3 × (-20) × 2² b³ = 2³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (-20 + 2)³ = (-20)³ + 3 × (-20)² × 2 + 3 × (-20) × 2² + 2³ (-18)³ = -8,000 + 2,400 - 240 + 8 (-18)³ = -5,832 Step 5: Hence, the cube of -18 is -5,832.</p>

14 <h2>Using a Calculator</h2>

13 <h2>Using a Calculator</h2>

15 <p>To find the cube of -18 using a calculator, input the number -18 and use the cube<a>function</a>(if available) or multiply -18 × -18 × -18. This operation calculates the value of (-18)³, resulting in -5,832. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Input -18 Step 3: If the calculator has a cube function, press it to calculate (-18)³. Step 4: If there is no cube function on the calculator, simply multiply -18 three times manually. Step 5: The calculator will display -5,832.</p>

14 <p>To find the cube of -18 using a calculator, input the number -18 and use the cube<a>function</a>(if available) or multiply -18 × -18 × -18. This operation calculates the value of (-18)³, resulting in -5,832. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Input -18 Step 3: If the calculator has a cube function, press it to calculate (-18)³. Step 4: If there is no cube function on the calculator, simply multiply -18 three times manually. Step 5: The calculator will display -5,832.</p>

16 <h2>Tips and Tricks for the Cube of -18</h2>

15 <h2>Tips and Tricks for the Cube of -18</h2>

17 <p>The cube of any<a>even number</a>is always even, while the cube of any<a>odd number</a>is always odd. The product of two or more<a>perfect cube</a>numbers is always a perfect cube. A perfect cube can always be expressed as the product of three identical groups of equal<a>prime factors</a>.</p>

16 <p>The cube of any<a>even number</a>is always even, while the cube of any<a>odd number</a>is always odd. The product of two or more<a>perfect cube</a>numbers is always a perfect cube. A perfect cube can always be expressed as the product of three identical groups of equal<a>prime factors</a>.</p>

18 <h2>Common Mistakes to Avoid When Calculating the Cube of -18</h2>

17 <h2>Common Mistakes to Avoid When Calculating the Cube of -18</h2>

19 <p>There are some typical errors that students might make during the process of cubing a number. Let us take a look at five of the major mistakes that students might make:</p>

18 <p>There are some typical errors that students might make during the process of cubing a number. Let us take a look at five of the major mistakes that students might make:</p>

20 <h3>Problem 1</h3>

19 <h3>Problem 1</h3>

21 <p>What is the cube and cube root of -18?</p>

20 <p>What is the cube and cube root of -18?</p>

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

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

23 <p>The cube of -18 is -5,832 and the cube root of -18 is approximately -2.6207.</p>

22 <p>The cube of -18 is -5,832 and the cube root of -18 is approximately -2.6207.</p>

24 <h3>Explanation</h3>

23 <h3>Explanation</h3>

25 <p>First, let’s find the cube of -18. We know that the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number. So, we get (-18)³ = -5,832. Next, we must find the cube root of -18. We know that the cube root of a number ‘x’ is such that ³√x = y, where ‘x’ is the given number, and y is the cube root value of the number. So, we get ³√-18 = -2.6207 (approximately). Hence the cube of -18 is -5,832 and the cube root of -18 is approximately -2.6207.</p>

24 <p>First, let’s find the cube of -18. We know that the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number. So, we get (-18)³ = -5,832. Next, we must find the cube root of -18. We know that the cube root of a number ‘x’ is such that ³√x = y, where ‘x’ is the given number, and y is the cube root value of the number. So, we get ³√-18 = -2.6207 (approximately). Hence the cube of -18 is -5,832 and the cube root of -18 is approximately -2.6207.</p>

26 <p>Well explained 👍</p>

25 <p>Well explained 👍</p>

27 <h3>Problem 2</h3>

26 <h3>Problem 2</h3>

28 <p>If the side length of the cube is -18 cm, what is the volume?</p>

27 <p>If the side length of the cube is -18 cm, what is the volume?</p>

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

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

30 <p>The volume is -5,832 cm³.</p>

29 <p>The volume is -5,832 cm³.</p>

31 <h3>Explanation</h3>

30 <h3>Explanation</h3>

32 <p>Use the volume formula for a cube V = Side³. Substitute -18 for the side length: V = (-18)³ = -5,832 cm³.</p>

31 <p>Use the volume formula for a cube V = Side³. Substitute -18 for the side length: V = (-18)³ = -5,832 cm³.</p>

33 <p>Well explained 👍</p>

32 <p>Well explained 👍</p>

34 <h3>Problem 3</h3>

33 <h3>Problem 3</h3>

35 <p>How much larger is (-18)³ than (-20)³?</p>

34 <p>How much larger is (-18)³ than (-20)³?</p>

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

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

37 <p>(-18)³ - (-20)³ = 2,168.</p>

36 <p>(-18)³ - (-20)³ = 2,168.</p>

38 <h3>Explanation</h3>

37 <h3>Explanation</h3>

39 <p>First find the cube of (-18)³, that is -5,832. Next, find the cube of (-20)³, which is -8,000. Now, find the difference between them using the subtraction method. -5,832 - (-8,000) = 2,168. Therefore, (-18)³ is 2,168 larger than (-20)³.</p>

38 <p>First find the cube of (-18)³, that is -5,832. Next, find the cube of (-20)³, which is -8,000. Now, find the difference between them using the subtraction method. -5,832 - (-8,000) = 2,168. Therefore, (-18)³ is 2,168 larger than (-20)³.</p>

40 <p>Well explained 👍</p>

39 <p>Well explained 👍</p>

41 <h3>Problem 4</h3>

40 <h3>Problem 4</h3>

42 <p>If a cube with a side length of -18 cm is compared to a cube with a side length of 2 cm, how much larger is the volume of the larger cube?</p>

41 <p>If a cube with a side length of -18 cm is compared to a cube with a side length of 2 cm, how much larger is the volume of the larger cube?</p>

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

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

44 <p>The volume of the cube with a side length of -18 cm is -5,832 cm³.</p>

43 <p>The volume of the cube with a side length of -18 cm is -5,832 cm³.</p>

45 <h3>Explanation</h3>

44 <h3>Explanation</h3>

46 <p>To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing -18 means multiplying -18 by itself three times: -18 × -18 = 324, and then 324 × -18 = -5,832. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is -5,832 cm³.</p>

45 <p>To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing -18 means multiplying -18 by itself three times: -18 × -18 = 324, and then 324 × -18 = -5,832. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is -5,832 cm³.</p>

47 <p>Well explained 👍</p>

46 <p>Well explained 👍</p>

48 <h3>Problem 5</h3>

47 <h3>Problem 5</h3>

49 <p>Estimate the cube of -17.9 using the cube of -18.</p>

48 <p>Estimate the cube of -17.9 using the cube of -18.</p>

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

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

51 <p>The cube of -17.9 is approximately -5,832.</p>

50 <p>The cube of -17.9 is approximately -5,832.</p>

52 <h3>Explanation</h3>

51 <h3>Explanation</h3>

53 <p>First, identify the cube of -18. The cube of -18 is (-18)³ = -5,832. Since -17.9 is only a tiny bit more than -18, the cube of -17.9 will be almost the same as the cube of -18. The cube of -17.9 is approximately -5,832 because the difference between -17.9 and -18 is very small. So, we can approximate the value as -5,832.</p>

52 <p>First, identify the cube of -18. The cube of -18 is (-18)³ = -5,832. Since -17.9 is only a tiny bit more than -18, the cube of -17.9 will be almost the same as the cube of -18. The cube of -17.9 is approximately -5,832 because the difference between -17.9 and -18 is very small. So, we can approximate the value as -5,832.</p>

54 <p>Well explained 👍</p>

53 <p>Well explained 👍</p>

55 <h2>FAQs on Cube of -18</h2>

54 <h2>FAQs on Cube of -18</h2>

56 <h3>1.What are the perfect cubes up to 18?</h3>

55 <h3>1.What are the perfect cubes up to 18?</h3>

57 <p>The perfect cubes up to 18 are 1 and 8.</p>

56 <p>The perfect cubes up to 18 are 1 and 8.</p>

58 <h3>2.How do you calculate (-18)³?</h3>

57 <h3>2.How do you calculate (-18)³?</h3>

59 <p>To calculate (-18)³, use the multiplication method, -18 × -18 × -18, which equals -5,832.</p>

58 <p>To calculate (-18)³, use the multiplication method, -18 × -18 × -18, which equals -5,832.</p>

60 <h3>3.What is the meaning of (-18)³?</h3>

59 <h3>3.What is the meaning of (-18)³?</h3>

61 <p>(-18)³ means -18 multiplied by itself three times, or -18 × -18 × -18.</p>

60 <p>(-18)³ means -18 multiplied by itself three times, or -18 × -18 × -18.</p>

62 <h3>4.What is the cube root of -18?</h3>

61 <h3>4.What is the cube root of -18?</h3>

63 <p>The<a>cube root</a>of -18 is approximately -2.6207.</p>

62 <p>The<a>cube root</a>of -18 is approximately -2.6207.</p>

64 <h3>5.Is -18 a perfect cube?</h3>

63 <h3>5.Is -18 a perfect cube?</h3>

65 <p>No, -18 is not a perfect cube because no<a>integer</a>multiplied by itself three times equals -18.</p>

64 <p>No, -18 is not a perfect cube because no<a>integer</a>multiplied by itself three times equals -18.</p>

66 <h2>Important Glossaries for Cube of -18</h2>

65 <h2>Important Glossaries for Cube of -18</h2>

67 <p>Binomial Formula: 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. Cube of a Number: Multiplying a number by itself three times is called the cube of a number. Exponential Form: 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, which equals 8. Negative Number: A number less than zero, often represented with a minus sign. When raised to an odd power, the result is negative. Perfect Cube: A number that can be expressed as the product of an integer multiplied by itself twice more, such as 1, 8, etc.</p>

66 <p>Binomial Formula: 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. Cube of a Number: Multiplying a number by itself three times is called the cube of a number. Exponential Form: 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, which equals 8. Negative Number: A number less than zero, often represented with a minus sign. When raised to an odd power, the result is negative. Perfect Cube: A number that can be expressed as the product of an integer multiplied by itself twice more, such as 1, 8, etc.</p>

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

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

69 <p>▶</p>

68 <p>▶</p>

70 <h2>Jaskaran Singh Saluja</h2>

69 <h2>Jaskaran Singh Saluja</h2>

71 <h3>About the Author</h3>

70 <h3>About the Author</h3>

72 <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>

71 <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>

73 <h3>Fun Fact</h3>

72 <h3>Fun Fact</h3>

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

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