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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 287496 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, ∛287496 is written as 287496(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 287496, then y3 can be 287496. Since 287496 is a perfect cube, its cube root is exactly 66.
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 287496. The common methods we follow to find the cube root are given below:
To find the cube root of a perfect cube, we often follow the prime factorization method. Since 287496 is a perfect cube, we can use this method.
Let's find the cube root of 287496 using the prime factorization method.
First, find the prime factors of 287496: 287496 = 23 × 33 × 113.
Since we want the cube root, we take one factor from each triplet of identical factors:
∛287496 = 2 × 3 × 11 = 66.
The cube root of 287496 is 66.
Imagine you have a cube-shaped object with a total volume of 287496 cubic centimeters. Find the length of one side of the cube.
A warehouse stores 287496 cubic meters of goods. Calculate the remaining volume if 50000 cubic meters are dispatched.
A tank holds 287496 cubic meters of water. Another tank holds a volume of 120000 cubic meters. What would be the total volume if the tanks are combined?
When the cube root of 287496 is multiplied by 2, calculate the resultant value. How will this affect the cube of the new value?
Find ∛(50000 + 237496).
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.