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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 864/1372 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, ∛(864/1372) is written as (864/1372)(1/3). The cube root is just the opposite operation of finding the cube of a number. Since the cube root of 864/1372 is not an exact value, we can approximate it.
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 864/1372. 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 864/1372 is not a perfect cube, we use Halley’s method.
Let's find the cube root of 864/1372 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 = 864/1372;
x = 1 (since 1 is the nearest perfect cube)
∛(864/1372) ≅ 1((13 + 2 × (864/1372)) / (2 × 13 + (864/1372)))
∛(864/1372) ≅ 1((1 + 2 × (864/1372)) / (2 + (864/1372)))
The cube root of 864/1372 is approximately 0.819.
Imagine you have a cube-shaped object that has a total volume of 864/1372 cubic units. Find the length of one side of the cube equal to its cube root.
A company has 864/1372 cubic meters of material. Calculate the amount of material left after using 0.2 cubic meters.
A bottle holds 864/1372 cubic meters of volume. Another bottle holds a volume of 0.5 cubic meters. What would be the total volume if the bottles are combined?
When the cube root of 864/1372 is multiplied by 2, calculate the resultant value. How will this affect the cube of the new value?
Find ∛(100+100).
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.