189 LearnersLast updated on May 26th, 2025
Cube Root Of 1080
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.
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
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.
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
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
Getting confused with the cube root and square root
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.
Cube root Examples of 1080
Problem 1
Calculate (∛1080)³.
(∛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.
Problem 2
Find ∛1080×∛27​.
∛(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.
Problem 3
Find 5+∛1080​.
∛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.
Problem 4
Calculate 20 − ∛1080​.
∛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.
FAQs For Cube Root Of 1080
1.What is the approximate value of the cube root of 1080?
2.Is the cube root of 1080 a rational number?
3. Can 1080 be expressed as a perfect cube?
4.What is the prime factorization of 1080?
5.Is the cube root of 1080 a terminating or repeating decimal?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Cube Root Of 1080?
8.How do technology and digital tools in Vietnam support learning Algebra and Cube Root Of 1080?
9.Does learning Algebra support future career opportunities for students in Vietnam?
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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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.
Fun Fact
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