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1 - <p>231 Learners</p>

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2 <p>Last updated on<strong>August 5, 2025</strong></p>

3 <p>A number we multiply by itself three times to get the original number is its cube root. It has various uses in real life, such as finding the volume of cube-shaped objects and designing structures. We will now find the cube root of 0.008 and explain the methods used.</p>

4 <h2>What is the Cube Root of 0.008?</h2>

5 <p>We have learned the definition of the<a>cube</a>root. Now, let’s learn how it is represented using a<a>symbol</a>and<a>exponent</a>. The symbol we use to express the cube root is the radical sign (∛), and the exponent we use is ⅓. In<a>exponential form</a>, ∛0.008 is written as 0.008^(1/3). The cube root is just the opposite operation of finding the cube of a<a>number</a>. For example: Assume ‘y’ as the cube root of 0.008, then y^3 can be 0.008. Since the cube root of 0.008 is not an exact<a>integer</a>, we can write it as approximately 0.2.</p>

6 <h2>Finding the Cube Root of 0.008</h2>

7 <p>Finding the<a>cube root</a>of a number is to identify the number that must be multiplied three times resulting in the target number. Now, we will go through the different ways to find the cube root of 0.008. The common methods we follow to find the cube root are given below: - Prime factorization method - Approximation method - Subtraction method - Halley’s method To find the cube root of a non-<a>perfect number</a>, we often follow Halley’s method. Since 0.008 is not a<a>perfect cube</a>, we use Halley’s method.</p>

8 <h2>Cube Root of 0.008 by Halley’s method</h2>

9 <p>Let's find the cube root of 0.008 using Halley’s method. The<a>formula</a>is ∛a ≅ x((x³ + 2a) / (2x³ + a)) where: a = the number for which the cube root is being calculated x = the nearest perfect cube Substituting, a = 0.008; x = 0.2 ∛a ≅ 0.2((0.2³ + 2 × 0.008) / (2 × 0.2³ + 0.008)) ∛0.008 ≅ 0.2((0.008 + 0.016) / (0.016 + 0.008)) ∛0.008 ≅ 0.2 The cube root of 0.008 is 0.2.</p>

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12 <h2>Common Mistakes and How to Avoid Them in the Cube Root of 0.008</h2>

11 <h2>Common Mistakes and How to Avoid Them in the Cube Root of 0.008</h2>

13 <p>Finding the perfect cube of a number without any errors can be a difficult task for the students. This happens for many reasons. Here are a few mistakes the students commonly make and the ways to avoid them:</p>

12 <p>Finding the perfect cube of a number without any errors can be a difficult task for the students. This happens for many reasons. Here are a few mistakes the students commonly make and the ways to avoid them:</p>

14 <h3>Problem 1</h3>

13 <h3>Problem 1</h3>

15 <p>Imagine you have a cube-shaped toy that has a total volume of 0.008 cubic centimeters. Find the length of one side of the box equal to its cube root.</p>

14 <p>Imagine you have a cube-shaped toy that has a total volume of 0.008 cubic centimeters. Find the length of one side of the box equal to its cube root.</p>

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

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

17 <p>Side of the cube = ∛0.008 = 0.2 units</p>

16 <p>Side of the cube = ∛0.008 = 0.2 units</p>

18 <h3>Explanation</h3>

17 <h3>Explanation</h3>

19 <p>To find the side of the cube, we need to find the cube root of the given volume. Therefore, the side length of the cube is approximately 0.2 units.</p>

18 <p>To find the side of the cube, we need to find the cube root of the given volume. Therefore, the side length of the cube is approximately 0.2 units.</p>

20 <p>Well explained 👍</p>

19 <p>Well explained 👍</p>

21 <h3>Problem 2</h3>

20 <h3>Problem 2</h3>

22 <p>A company manufactures 0.008 cubic meters of material. Calculate the amount of material left after using 0.003 cubic meters.</p>

21 <p>A company manufactures 0.008 cubic meters of material. Calculate the amount of material left after using 0.003 cubic meters.</p>

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

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

24 <p>The amount of material left is 0.005 cubic meters.</p>

23 <p>The amount of material left is 0.005 cubic meters.</p>

25 <h3>Explanation</h3>

24 <h3>Explanation</h3>

26 <p>To find the remaining material, we need to subtract the used material from the total amount: 0.008 - 0.003 = 0.005 cubic meters.</p>

25 <p>To find the remaining material, we need to subtract the used material from the total amount: 0.008 - 0.003 = 0.005 cubic meters.</p>

27 <p>Well explained 👍</p>

26 <p>Well explained 👍</p>

28 <h3>Problem 3</h3>

27 <h3>Problem 3</h3>

29 <p>A bottle holds 0.008 cubic meters of volume. Another bottle holds a volume of 0.002 cubic meters. What would be the total volume if the bottles are combined?</p>

28 <p>A bottle holds 0.008 cubic meters of volume. Another bottle holds a volume of 0.002 cubic meters. What would be the total volume if the bottles are combined?</p>

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

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

31 <p>The total volume of the combined bottles is 0.01 cubic meters.</p>

30 <p>The total volume of the combined bottles is 0.01 cubic meters.</p>

32 <h3>Explanation</h3>

31 <h3>Explanation</h3>

33 <p>Explanation: Let’s add the volume of both bottles: 0.008 + 0.002 = 0.01 cubic meters.</p>

32 <p>Explanation: Let’s add the volume of both bottles: 0.008 + 0.002 = 0.01 cubic meters.</p>

34 <p>Well explained 👍</p>

33 <p>Well explained 👍</p>

35 <h3>Problem 4</h3>

34 <h3>Problem 4</h3>

36 <p>When the cube root of 0.008 is multiplied by 2, calculate the resultant value. How will this affect the cube of the new value?</p>

35 <p>When the cube root of 0.008 is multiplied by 2, calculate the resultant value. How will this affect the cube of the new value?</p>

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

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

38 <p>2 × 0.2 = 0.4 The cube of 0.4 = 0.064</p>

37 <p>2 × 0.2 = 0.4 The cube of 0.4 = 0.064</p>

39 <h3>Explanation</h3>

38 <h3>Explanation</h3>

40 <p>When we multiply the cube root of 0.008 by 2, it results in a significant increase in volume because the cube increases exponentially.</p>

39 <p>When we multiply the cube root of 0.008 by 2, it results in a significant increase in volume because the cube increases exponentially.</p>

41 <p>Well explained 👍</p>

40 <p>Well explained 👍</p>

42 <h3>Problem 5</h3>

41 <h3>Problem 5</h3>

43 <p>Find ∛(0.005 + 0.003).</p>

42 <p>Find ∛(0.005 + 0.003).</p>

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

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

45 <p>∛(0.005 + 0.003) = ∛0.008 = 0.2</p>

44 <p>∛(0.005 + 0.003) = ∛0.008 = 0.2</p>

46 <h3>Explanation</h3>

45 <h3>Explanation</h3>

47 <p>As shown in the question ∛(0.005 + 0.003), we can simplify that by adding them. So, 0.005 + 0.003 = 0.008. Then we use this step: ∛0.008 = 0.2 to get the answer.</p>

46 <p>As shown in the question ∛(0.005 + 0.003), we can simplify that by adding them. So, 0.005 + 0.003 = 0.008. Then we use this step: ∛0.008 = 0.2 to get the answer.</p>

48 <p>Well explained 👍</p>

47 <p>Well explained 👍</p>

49 <h2>FAQs on 0.008 Cube Root</h2>

48 <h2>FAQs on 0.008 Cube Root</h2>

50 <h3>1.Can we find the Cube Root of 0.008?</h3>

49 <h3>1.Can we find the Cube Root of 0.008?</h3>

51 <p>Yes, we can find the cube root of 0.008, and it is approximately 0.2.</p>

50 <p>Yes, we can find the cube root of 0.008, and it is approximately 0.2.</p>

52 <h3>2.Why is Cube Root of 0.008 not a whole number?</h3>

51 <h3>2.Why is Cube Root of 0.008 not a whole number?</h3>

53 <p>The cube root of 0.008 is not a whole number because it doesn't result in an integer when calculated, but rather a finite<a>decimal</a>, which is 0.2.</p>

52 <p>The cube root of 0.008 is not a whole number because it doesn't result in an integer when calculated, but rather a finite<a>decimal</a>, which is 0.2.</p>

54 <h3>3.Is it possible to get the cube root of 0.008 as an exact integer?</h3>

53 <h3>3.Is it possible to get the cube root of 0.008 as an exact integer?</h3>

55 <p>No, the cube root of 0.008 is not an exact integer. It is a decimal that is about 0.2.</p>

54 <p>No, the cube root of 0.008 is not an exact integer. It is a decimal that is about 0.2.</p>

56 <h3>4.Can we find the cube root of any number using prime factorization?</h3>

55 <h3>4.Can we find the cube root of any number using prime factorization?</h3>

57 <p>The prime factorization method can be used to calculate the cube root of perfect cube numbers, but it is not the right method for non-perfect cube numbers. For example, 2 × 2 × 2 = 8, so 8 is a perfect cube.</p>

56 <p>The prime factorization method can be used to calculate the cube root of perfect cube numbers, but it is not the right method for non-perfect cube numbers. For example, 2 × 2 × 2 = 8, so 8 is a perfect cube.</p>

58 <h3>5.Is there any formula to find the cube root of a number?</h3>

57 <h3>5.Is there any formula to find the cube root of a number?</h3>

59 <p>Yes, the formula we use for the cube root of any number ‘a’ is a^(1/3).</p>

58 <p>Yes, the formula we use for the cube root of any number ‘a’ is a^(1/3).</p>

60 <h2>Important Glossaries for Cube Root of 0.008</h2>

59 <h2>Important Glossaries for Cube Root of 0.008</h2>

61 <p>Cube root: The number that is multiplied three times by itself to get the given number is the cube root of that number. Perfect cube: A number is a perfect cube when it is the product of multiplying a number three times by itself. A perfect cube always results in a whole number. For example: 2 × 2 × 2 = 8, therefore, 8 is a perfect cube. Exponent: The exponent form of the number denotes the number of times a number can be multiplied by itself. In a^(1/3), ⅓ is the exponent which denotes the cube root of a. Radical sign: The symbol that is used to represent a root is expressed as (∛). Decimal number: A number that has a fractional part separated by a decimal point. For example, the cube root of 0.008 is a decimal number, 0.2.</p>

60 <p>Cube root: The number that is multiplied three times by itself to get the given number is the cube root of that number. Perfect cube: A number is a perfect cube when it is the product of multiplying a number three times by itself. A perfect cube always results in a whole number. For example: 2 × 2 × 2 = 8, therefore, 8 is a perfect cube. Exponent: The exponent form of the number denotes the number of times a number can be multiplied by itself. In a^(1/3), ⅓ is the exponent which denotes the cube root of a. Radical sign: The symbol that is used to represent a root is expressed as (∛). Decimal number: A number that has a fractional part separated by a decimal point. For example, the cube root of 0.008 is a decimal number, 0.2.</p>

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

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

63 <p>▶</p>

62 <p>▶</p>

64 <h2>Jaskaran Singh Saluja</h2>

63 <h2>Jaskaran Singh Saluja</h2>

65 <h3>About the Author</h3>

64 <h3>About the Author</h3>

66 <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>

65 <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>

67 <h3>Fun Fact</h3>

66 <h3>Fun Fact</h3>

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

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