117 LearnersLast updated on May 26th, 2025
Cube Root of 132651
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 132651 and explain the methods used.
What is the Cube Root of 132651?
We have learned the definition of the cube root. Now, let’s learn how it is represented using a symbol and exponent. The symbol we use to express the cube root is the radical sign (∛), and the exponent we use is ⅓.
In exponential form, ∛132651 is written as 132651(1/3). The cube root is just the opposite operation of finding the cube of a number. For example: Assume ‘y’ as the cube root of 132651, then y^3 can be 132651. Since the cube root of 132651 is not an exact value, we can write it as approximately 51.
Finding the Cube Root of 132651
Finding the cube root 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 132651. 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-perfect number, we often follow Halley’s method. Since 132651 is not a perfect cube, we use Halley’s method.
Cube Root of 132651 by Halley’s Method
Let's find the cube root of 132651 using Halley’s method.
The formula 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 = 132651;
x = 50
∛a ≅ 50((503 + 2 × 132651) / (2 × 503 + 132651))
∛132651 ≅ 51
The cube root of 132651 is approximately 51.
Common Mistakes and How to Avoid Them in the Cube Root of 132651
Finding the cube root of a number without any errors can be a difficult task for students. This happens for many reasons. Here are a few mistakes students commonly make and the ways to avoid them:
Mistake 1
Trying to find perfect cube roots for non-perfect cube numbers
Students often try to calculate an exact whole number for the cube root of numbers like 132651, which are not perfect cubes.
For example, they assume that they would get an exact whole number for 132651. To avoid this error, memorize that some numbers don't have a perfect cube root, that is, the cube root of 132651 is approximately 51.
Cube Root of 132651 Examples:
Problem 1
Imagine you have a cube-shaped toy that has a total volume of 132651 cubic centimeters. Find the length of one side of the box equal to its cube root.
Side of the cube = ∛132651 ≈ 51 units
Explanation
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 51 units.
Problem 2
A company manufactures 132651 cubic meters of material. Calculate the amount of material left after using 25651 cubic meters.
The amount of material left is 107000 cubic meters.
Explanation
To find the remaining material, subtract the used material from the total amount:
132651 - 25651 = 107000 cubic meters.
Problem 3
A bottle holds 132651 cubic meters of volume. Another bottle holds a volume of 8000 cubic meters. What would be the total volume if the bottles are combined?
The total volume of the combined bottles is 140651 cubic meters.
Explanation
Let’s add the volume of both bottles:
132651 + 8000 = 140651 cubic meters.
Problem 4
When the cube root of 132651 is multiplied by 2, calculate the resultant value. How will this affect the cube of the new value?
2 × 51 = 102 The cube of 102 = 1061208
Explanation
When we multiply the cube root of 132651 by 2, it results in a significant increase in the volume because the cube increases exponentially.
Problem 5
Find ∛(46000 + 86651).
∛(46000 + 86651) = ∛132651 ≈ 51
Explanation
As shown in the question ∛(46000 + 86651), we can simplify that by adding them.
So, 46000 + 86651 = 132651.
Then we use this step:
∛132651 ≈ 51 to get the answer.
FAQs on 132651 Cube Root
1.Can we find the Cube Root of 132651?
2.Why is the Cube Root of 132651 irrational?
3.Is it possible to get the cube root of 132651 as an exact number?
4.Can we find the cube root of any number using prime factorization?
5.Is there any formula to find the cube root of a number?
6.How does learning Algebra help students in Singapore make better decisions in daily life?
7.How can cultural or local activities in Singapore support learning Algebra topics such as Cube Root of 132651?
8.How do technology and digital tools in Singapore support learning Algebra and Cube Root of 132651?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Cube Root of 132651
- 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.
- Exponent: The exponent form of the number denotes the number of times a number can be multiplied by itself. In 132651(1/3), ⅓ is the exponent which denotes the cube root of 132651.
- Radical sign: The symbol that is used to represent a root is expressed as (∛).
- Irrational number: Numbers that cannot be expressed as fractions are irrational. For example, the cube root of 132651 is irrational because its decimal form goes on continuously without repeating.
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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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