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Last updated on May 2nd, 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 8640 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, ∛8640 is written as 8640(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 8640, then y3 can be 8640. Since the cube root of 8640 is not an exact whole number, we can write it as approximately 20.4722.
Finding the cube root of a number involves identifying the number that must be multiplied three times to result in the target number. Now, we will go through the different ways to find the cube root of 8640. The common methods we follow to find the cube root are given below:
To find the cube root of a non-perfect number, we often follow Halley’s method. Since 8640 is not a perfect cube, we use Halley’s method.
Let's find the cube root of 8640 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 = 8640;
x = 20
∛a ≅ 20((203 + 2 × 8640) / (2 × 203 + 8640))
∛8640 ≅ 20.472
The cube root of 8640 is approximately 20.4722.
Imagine you have a cube-shaped toy that has a total volume of 8640 cubic centimeters. Find the length of one side of the cube equal to its cube root.
A company manufactures 8640 cubic meters of material. Calculate the amount of material left after using 3000 cubic meters.
A bottle holds 8640 cubic meters of volume. Another bottle holds a volume of 360 cubic meters. What would be the total volume if the bottles are combined?
When the cube root of 8640 is multiplied by 2, calculate the resultant value. How will this affect the cube of the new value?
Find ∛(8000 + 640).
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.