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Last updated on April 28th, 2025
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 195112 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, ∛195112 is written as 195112(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 195112, then y3 can be 195112. Since 195112 is a perfect cube, its cube root is an exact value, which is 58.
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 195112. The common methods we follow to find the cube root are given below:
Since 195112 is a perfect cube, the prime factorization method is efficient in this case.
Let's find the cube root of 195112 using the prime factorization method.
First, find the prime factors of 195112:
195112 = 23 × 32 × 7 × 133.
To find the cube root, take the cube root of each factor: ∛(23 × 32 × 7 × 133) = 2 × 13 = 26.
Therefore, the cube root of 195112 is 58.
Imagine you have a cube-shaped container that has a total volume of 195112 cubic centimeters. Find the length of one side of the container equal to its cube root.
A company manufactures 195112 cubic meters of material. Calculate the amount of material left after using 112000 cubic meters.
A bottle holds 195112 cubic meters of volume. Another bottle holds a volume of 8000 cubic meters. What would be the total volume if the bottles are combined?
When the cube root of 195112 is multiplied by 2, calculate the resultant value. How will this affect the cube of the new value?
Find ∛(46000 + 149112).
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.