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Last updated on January 6th, 2025

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Cube Root Of 1080

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Foundation
Intermediate
Advance Topics

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.

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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
 

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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.
     
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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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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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