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100 LearnersLast updated on May 2nd, 2025
Cube Root of 10648
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 10648 and explain the methods used.
What is the Cube Root of 10648?
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, ∛10648 is written as 10648(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 10648, then y3 can be 10648. Since 10648 is a perfect cube, we can find its cube root exactly as 22.
Finding the Cube Root of 10648
Finding the cube root of a number involves identifying the number that, when multiplied by itself three times, results in the target number. Now, we will go through the different ways to find the cube root of 10648. The common methods we follow to find the cube root are given below:
- Prime factorization method
- Subtraction method
- Approximation method
- Halley’s method
Since 10648 is a perfect cube, we can use the prime factorization method or simple calculation to find the cube root accurately.
Cube Root of 10648 by Prime Factorization
Let's find the cube root of 10648 using the prime factorization method.
First, we find the prime factors of 10648:
10648 = 2 × 2 × 2 × 11 × 11 × 11
Grouping the prime factors in triples:
10648 = (2 × 2 × 2) × (11 × 11 × 11)
= 23 × 113
Taking the cube root of both sides, we get: ∛10648 = 2 × 11 = 22
The cube root of 10648 is exactly 22.
Common Mistakes and How to Avoid Them in the Cube Root of 10648
Cube Root of 10648 Examples:
Problem 1
Imagine you have a cube-shaped toy that has a total volume of 10648 cubic centimeters. Find the length of one side of the box equal to its cube root.
Explanation
Problem 2
A company manufactures 10648 cubic meters of material. Calculate the amount of material left after using 6000 cubic meters.
Explanation
Problem 3
A bottle holds 10648 cubic meters of volume. Another bottle holds a volume of 352 cubic meters. What would be the total volume if the bottles are combined?
Explanation
Problem 4
When the cube root of 10648 is multiplied by 3, calculate the resultant value. How will this affect the cube of the new value?
Explanation
Problem 5
Find ∛(5300 + 5348).
Explanation
FAQs on 10648 Cube Root
1.Can we find the Cube Root of 10648?
2.Why is the Cube Root of 10648 rational?
3.Is it possible to get the cube root of 10648 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?
Important Glossaries for Cube Root of 10648
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: 2 × 2 × 2 = 8, therefore, 8 is a perfect cube.
Exponent: The exponent form of the number denotes the number of times a number can be multiplied by itself. In 10648(1/3), ⅓ is the exponent which denotes the cube root of 10648.
Radical sign: The symbol that is used to represent a root is expressed as (∛).
Rational number: A number that can be expressed as a fraction of two integers is a rational number. The cube root of 10648 is rational because it is 22.
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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
: He loves to play the quiz with kids through algebra to make kids love it.
