130 LearnersLast updated on May 26th, 2025
Cube Root of 636056
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 636056 and explain the methods used.
What is the Cube Root of 636056?
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, ∛636056 is written as 636056(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 636056, then y3 can be 636056. Since the cube root of 636056 is an exact value, it is 86.
Finding the Cube Root of 636056
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 636056. 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 perfect cube number like 636056, the prime factorization method is often used.
Cube Root of 636056 by Prime Factorization
Let's find the cube root of 636056 using the prime factorization method.
First, determine the prime factors of 636056:
636056 = 2 × 2 × 2 × 107 × 107 × 107
Next, group the factors into triples: (2 × 2 × 2) and (107 × 107 × 107)
Now, take one factor from each group: 2 × 107 = 214
Thus, the cube root of 636056 is 86.
Common Mistakes and How to Avoid Them in the Cube Root of 636056
Finding the perfect cube 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 cube roots for non-perfect cube numbers as if they are perfect cubes.
Children sometimes assume a number like 636056 is not a perfect cube, leading to incorrect calculations.
For example, assuming it doesn't have an exact whole number cube root. To avoid this error, verify whether a number is a perfect cube first.
Cube Root of 636056 Examples:
Problem 1
Imagine you have a cube-shaped box that has a total volume of 636056 cubic centimeters. Find the length of one side of the box equal to its cube root.
Side of the cube = ∛636056 = 86 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 exactly 86 units.
Problem 2
A warehouse stores cubes with a total volume of 636056 cubic meters. Calculate the amount of volume left after using 100000 cubic meters.
The amount of volume left is 536056 cubic meters.
Explanation
To find the remaining volume, we need to subtract the used volume from the total amount:
636056 - 100000 = 536056 cubic meters.
Problem 3
A container holds 636056 cubic meters of material. Another container holds a volume of 50000 cubic meters. What would be the total volume if the containers are combined?
The total volume of the combined containers is 686056 cubic meters.
Explanation
Let’s add the volume of both containers:
636056 + 50000 = 686056 cubic meters.
Problem 4
When the cube root of 636056 is multiplied by 2, calculate the resultant value. How will this affect the cube of the new value?
2 × 86 = 172 The cube of 172 = 5088448
Explanation
When we multiply the cube root of 636056 by 2, it results in a significant increase in the volume because the cube increases exponentially.
Problem 5
Find ∛(100000 + 536056).
∛(100000 + 536056) = ∛636056 = 86
Explanation
As shown in the question ∛(100000 + 536056), we can simplify that by adding them.
So, 100000 + 536056 = 636056.
Then we use this step: ∛636056 = 86 to get the answer.
FAQs on 636056 Cube Root
1.Can we find the Cube Root of 636056?
2.Why is the Cube Root of 636056 a rational number?
3.Is it possible to get the cube root of 636056 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 India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Cube Root of 636056?
8.How do technology and digital tools in India support learning Algebra and Cube Root of 636056?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Cube Root of 636056
- 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. For example, 86 × 86 × 86 = 636056, therefore, 636056 is a perfect cube.
- Exponent: The exponent form of the number denotes the number of times a number can be multiplied by itself. In 636056(1/3), ⅓ is the exponent which denotes the cube root of 636056.
- Radical sign: The symbol that is used to represent a root which is expressed as (∛).
- Rational number: A number that can be expressed as the quotient or fraction of two integers, such as the cube root of 636056 which is 86.
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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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