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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 125/216 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, ∛(125/216) is written as (125/216)(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 125/216, then y3 can be 125/216. Since 125 and 216 are both perfect cubes, we can express the cube root of 125/216 as (∛125)/(∛216), which simplifies to 5/6.
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 125/216. The common methods we follow to find the cube root are given below:
Since 125/216 is a fraction made of perfect cubes, we can use the simplification method to find its cube root.
Let's find the cube root of 125/216 using the simplification method.
The formula is ∛(a/b) = (∛a)/(∛b) where: a = the numerator b = the denominator
Substituting, a = 125; b = 216 ∛(125/216)
= (∛125)/(∛216)
Since 125 = 53 and 216 = 63, we find:
∛125 = 5 and ∛216 = 6
Thus, ∛(125/216) = 5/6
The cube root of 125/216 is 5/6.
Imagine you have a cube-shaped toy that has a total volume of 125/216 cubic meters. Find the length of one side of the toy equal to its cube root.
A company manufactures material in a volume of 125 cubic meters. After using 27 cubic meters, find the cube root of the remaining volume.
A bottle holds 125 cubic meters of volume. Another bottle holds a volume of 216 cubic meters. What would be the total volume if the bottles are combined?
When the cube root of 125/216 is multiplied by 2, calculate the resultant value. How will this affect the cube of the new value?
Find ∛(250/432).
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.