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Last updated on May 26th, 2025

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Cube Root Of 1080

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A cube root of a number is a value, when it is multiplied by itself three times, gives the original number. Imagine you have a cube (box) with the known volume. The cube root helps us determine the length of one side of the box.

Cube Root Of 1080 for Saudi Students
Professor Greenline from BrightChamps

What Is The Cube Root Of 1080?

The cube root of 1080 is the number which, when multiplied three times, we get a number that is equal to 1080. Let’s explore some steps and methods to calculate the cube root of 1080.


The cube root of 1080: ∛1080 = 10.259


The exponential form of the cube root of 1080: 10801/3


The radical form of the cube root of 1080: ∛1080
 

Professor Greenline from BrightChamps

Finding The Cube Root Of 1080

To find the cube root of 1080, we use the following methods:

 

 

  • Prime factorization
  • Approximation method
  • Long division 
  • Subtraction method
  • Halley’s method is used for those numbers which are not perfect cubes.
     
Professor Greenline from BrightChamps

Cube Root Of 1080 By Halley’s Method

We use the below formula to find the cube root using Halley’s Method;
∛a≅ x((x3+2a) / (2x3+a))


In the formula; 
a = given number, 1080
x = an approximate number close to the cube root of the number, 1080:  103= 1000


Let’s apply the formula and find the Cube Root:


A = 1080, for the approximate method we choose, x = 10, it is the nearest cube (103= 1000). 


Now apply the formula; 


∛a≅ x((x3+2a) / (2x3+a))


∛1080≅ 10((103+2 × 1080) / (2 × 103+1080)) = 10.259


Hence, the approximate cube of 1080 ≅ 10.259
 

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Common Mistakes and How to Avoid Them in Cube Root of 1080

While learning about cube roots, children making mistakes is common, so to avoid a few mistakes that are likely to happen, below are a few mistakes and how to avoid these:
 

Mistake 1

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Getting confused with the cube root and square root
 

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Students sometimes multiply the same number twice instead of thrice, which makes it a square root and not a cube root. Because of this, improper results are to be found. To avoid these, students should practice square roots and cube roots regularly.

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Cube root Examples of 1080

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Problem 1

Calculate (∛1080)³.

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(∛1080​)3= 1080, since cubing a cube root gives the original number.
 

Explanation

Since 1080 isn’t a perfect cube, its cube root is an irrational number. This makes it a decimal that never ends or repeats.
 

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Problem 2

Find ∛1080×∛27​.

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∛(1080×27)= ∛29160


∛29160 = 30.4, as we can combine roots by multiplying their bases.
 

Explanation

To solve this, we multiply 1080 and 27, then find the cube root of the result, 29160, which gives 30.4 approximately.
 

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Problem 3

Find 5+∛1080​.

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∛1080 = 10.259


5+10.259 =15.259  as we simply add the integer to the approximate value of the cube root.
 

Explanation

Find the cube root of 1080, which is approximately 10.2, then add 5 to get 15.2.
 

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Max, the Girl Character from BrightChamps

Problem 4

Calculate 20 − ∛1080​.

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∛1080 = 10.259


20 − 10.259 = 9.74, by subtracting the approximate cube root value from the integer.
 

Explanation

 First, find the cube root of 1080, which is approximately 10.259. Then, subtract 10.2 from 20 to get 9.8.
 

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FAQs For Cube Root Of 1080

1.What is the approximate value of the cube root of 1080?

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2.Is the cube root of 1080 a rational number?

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3. Can 1080 be expressed as a perfect cube?

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4.What is the prime factorization of 1080?

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5.Is the cube root of 1080 a terminating or repeating decimal?

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

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7.How can cultural or local activities in Saudi Arabia support learning Algebra topics such as Cube Root Of 1080?

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8.How do technology and digital tools in Saudi Arabia support learning Algebra and Cube Root Of 1080?

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

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Professor Greenline from BrightChamps

Important Glossaries for Cube Root of 1080

  • Whole numbers : The whole numbers are the set of numbers that consists of natural numbers and zero.  Example: 0,1,2,3………..

 

  • Square root  : A number’s square root is considered a number that when it is multiplied by itself results in the same number. Example: √4 is 2.

 

  • Exponent: It is a number which represents how many times a base number should be multiplied.Example: 42=4 x 4 = 16

 

  • Irrational number: The number that cannot be expressed in the form of fraction.Example: √2 is an irrational number.
     
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About BrightChamps in Saudi Arabia

At BrightChamps, we know algebra is more than just digits—it’s the key to many opportunities! We’re dedicated to helping children across Saudi Arabia develop strong math skills, focusing today on the Cube Root Of 1080 with a special focus on understanding cube roots—in a way that’s lively, fun, and easy to follow. Whether your child is calculating the speed of a roller coaster at Riyadh’s Al Hokair Land, tracking scores at a local football match, or managing their allowance to buy the latest gadgets, mastering algebra gives them confidence for everyday challenges. Our interactive lessons make learning simple and engaging. Since children in Saudi Arabia learn in different ways, we tailor our approach to fit each child’s unique style. From the busy streets of Riyadh to the historic landmarks of Jeddah, BrightChamps brings math to life, making it exciting throughout Saudi Arabia. Let’s make cube roots a fun part of every child’s math journey!
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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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