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Last updated on May 26th, 2025

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Cube Root Of 135

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The cube root of a number is a value that when multiplied by itself three times gives back the original number. We apply the function of cube roots in the fields of engineering, designing, financial mathematics, and many more. Let's learn more about the cube root of 135.

Cube Root Of 135 for Thai Students
Professor Greenline from BrightChamps

What Is The Cube Root Of 135?

The cube root can be classified into two categories: perfect cubes and non-perfect cubes. For example, the cube root of 216 is 6 which is a whole number, making it a perfect cube. However, the cube root of 135 is not a whole number. The cube root of 135 is approximately 5.13.

 

The cube root of 135 is represented using the radical sign as ∛135, and can also be written in exponential form as 1351/3. The prime factorization of 135 is 33 × 5. It is also an irrational number where ∛135 cannot be expressed in the form of p/q where both p and q are integers and q ≠ 0. 
 

Professor Greenline from BrightChamps

Cube Root of 135 by Halley’s Method

Halley’s method is a step-by-step way to find the cube root of a non-perfect cube number. Here, we will find the value of ‘a’ where a3 is the non-perfect cube


∛a≅  x (x3+2a) / (2x3+a) is the formula used in this method. 


As 135 is a non-perfect cube number, it lies between the two perfect cube numbers. Here, ‘a’ lies between 125 (53) and 216 (63)


By applying Halley’s Method, we get.


Step 1: Let the number ‘a’ = 135. Start by taking ‘x’ = 5, as 125 (∛125 = 5) is the nearest perfect cube which is closer to 135


Step 2: Apply the value of ‘a = 135’ and ‘x = 5’ in the formula: 
∛a≅  x (x3+2a) / (2x3+a) 


 Step 3: The formula will be, 
 âˆ›135 ≅  5 (53+2*135) (2*53+135)


Step 4: After simplifying, we get the cube root of 135 as 5.12992784
 

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Common Mistakes and How to Avoid Them in the Cube Root of 135

Making mistakes while learning cube roots is common. Let’s look at some common mistakes kids might make and how to fix them.
 

Mistake 1

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 Incorrect calculation after applying values in the formula
 

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Sometimes instead of using the ‘+’ symbol, kids may accidentally use the multiplication symbol ‘×’. This can lead to wrong calculations and incorrect results. Always double-check the symbols used in the formula to make sure you’re adding, not multiplying, when needed.
 

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Cube Root of 135 Examples

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Problem 1

A concrete block has a volume of 135 cubic feet. What is the length of one side of the block if it is cube-shaped?

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The side length of the cubic-shaped block is approximately 5.13 feet.
 

Explanation

To find the side length, take the cube root of 135
            ∛135  = 5.13 feet    

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Problem 2

Question: Solve (∛135 × ∛136) and round it to the nearest whole number.

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When you solve this, you get 26.3809780329. The nearest whole number is 26. 
 

Explanation

The values of  âˆ›135 and ∛136 are 5.12992784003 and 5.14256318132. Multiplying these will give you the answer 26.3809780329.
 

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Max, the Girl Character from BrightChamps

Problem 3

A rectangular prism has a volume of 135 cubic inches. If the length and width are both 2 inches. What is the height?

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V = V= l × w × h is the volume formula for a rectangular prism.
Solving for h: 135 = 2 × 2 × h
h = 135/4
h = 33.75 inches
 

Explanation

The height of the rectangular prism is 33.75 inches.
 

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Problem 4

Find ∛4²-3²

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The solution to the question is approximately 1.9129. 
 

Explanation

 First you need to calculate the numbers inside.
 

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FAQs For Cube Root Of 135

1.What will be the cube of 12?

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2.What does ∛27 mean?

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3.How to find a cube root?

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4.What is the square of a number?

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5.So, what is the square root of (-2)?

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6.How does learning Algebra help students in Thailand make better decisions in daily life?

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7.How can cultural or local activities in Thailand support learning Algebra topics such as Cube Root Of 135 ?

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8.How do technology and digital tools in Thailand support learning Algebra and Cube Root Of 135 ?

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9.Does learning Algebra support future career opportunities for students in Thailand?

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Professor Greenline from BrightChamps

Important Glossaries for Cube Root Of 135

  • Fraction: It is a way to show a part of something. For example, in the fraction 25 , it means you have 2 out of 5 equal parts. 

 

  • Exponent: It is a smaller number that shows us how many times we multiply the number by itself. For example, in 33, 3 is the exponent, which means we multiply 3 three times.

 

  • Decimal: A number that includes a whole part and a fractional part, which is separated by a dot (.) like 0.5, 3.14, etc., 

 

  • Perfect cube: A number that can be expressed as the product of a whole number multiplied by itself three times, like the cube root of 8 is 2 which is a perfect cube. However, the number cannot be expressed as a whole number when finding its cube root, a non-perfect cube like 135.

 

  • Irrational Number: These are real numbers but cannot be expressed in the form of p/q where both p and q are integers and q ≠ 0.
Professor Greenline from BrightChamps

About BrightChamps in Thailand

At BrightChamps, we understand algebra is much more than symbols—it’s a way to unlock endless opportunities! We help children throughout Thailand grasp important math concepts, focusing today on the Cube Root Of 135 with a special emphasis on cube roots—in an engaging, enjoyable, and easy-to-understand manner. Whether your child is calculating the speed of a roller coaster at Dream World, keeping score at a local football match, or managing their allowance to buy the latest gadgets, mastering algebra builds the confidence they need in daily life. Our interactive lessons are designed to be both fun and simple. Knowing kids in Thailand learn in diverse ways, we personalize our teaching for each learner. From the bustling streets of Bangkok to the tropical islands of Phuket, BrightChamps makes math relevant and exciting across Thailand. Let’s bring cube roots into every child’s math story!
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Jaskaran Singh Saluja

About the Author

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.

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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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