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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 300763 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, ∛300763 is written as 300763(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 300763, then y³ can be 300763. Since the cube root of 300763 is not an exact value, we can write it as approximately 67.287.
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 300763. The common methods we follow to find the cube root are given below:
To find the cube root of a non-perfect cube number, we often follow Halley’s method. Since 300763 is not a perfect cube, we use Halley’s method.
Let's find the cube root of 300763 using Halley’s method.
The formula is ∛a ≅ x((x³ + 2a) / (2x³ + a))
where: a = the number for which the cube root is being calculated
x = the nearest perfect cube
Substituting, a = 300763;
x = 67
∛a ≅ 67((67³ + 2 × 300763) / (2 × 67³ + 300763))
∛300763 ≅ 67.287
The cube root of 300763 is approximately 67.287.
Imagine you have a cube-shaped storage container that has a total volume of 300763 cubic centimeters. Find the length of one side of the container equal to its cube root.
A factory produces 300763 cubic meters of material. Calculate the amount of material left after using 100000 cubic meters.
A tank holds 300763 cubic meters of water. Another tank holds a volume of 150000 cubic meters. What would be the total volume if the tanks are combined?
When the cube root of 300763 is multiplied by 3, calculate the resultant value. How will this affect the cube of the new value?
Find ∛(150000 + 150000).
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.