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Last updated on April 30th, 2025
A number that 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 1404928 and explain the methods used.
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, ∛1404928 is written as 1404928(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 1404928, then y3 can be 1404928. Since 1404928 is a perfect cube, its cube root is exactly 112.
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 1404928. The common methods we follow to find the cube root are given below:
- Prime factorization method
- Estimation method
- Halley’s method
Since 1404928 is a perfect cube, we can use the prime factorization method to find its cube root.
Let's find the cube root of 1404928 using the prime factorization method. The prime factorization of 1404928 is: 1404928 = 210 × 73
To find the cube root, we take the cube root of each factor: ∛(2^10 × 7^3) = 2^(10/3) × 7^(3/3)
Simplifying: = 2^3 × 7 = 8 × 7 = 56
Therefore, the cube root of 1404928 is 112.
If the volume of a cube is 1404928 cubic centimeters, what is the length of one side of the cube?
A storage unit has a volume of 1404928 cubic meters. What is the side length of the unit if the storage is cube-shaped?
A company has 1404928 cubic meters of material. After using 100000 cubic meters, how much is left?
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.
: He loves to play the quiz with kids through algebra to make kids love it.