Table Of Contents
Last updated on April 4th, 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 908 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, ∛908 is written as 908(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 908, then y3 can be 908. Since the cube root of 908 is not an exact value, so we can write it as approximately 9.696.
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 908. 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 908 is not a perfect cube, we use Halley’s method.
Let's find the cube root of 908 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 = 908; x = 9
∛a ≅ 9((93 + 2 × 908) / (2 × 93 + 908))
∛908 ≅ 9((729 + 2 × 908) / (2 × 729 + 908))
∛908 ≅ 9.696
The cube root of 908 is approximately 9.696.
Imagine you have a cube-shaped storage box that has a total volume of 908 cubic centimeters. Find the length of one side of the box equal to its cube root.
A warehouse has a storage space of 908 cubic meters. Calculate the amount of space left after using 108 cubic meters.
A container holds 908 cubic meters of liquid. Another container holds a volume of 92 cubic meters. What would be the total volume if the containers are combined?
When the cube root of 908 is multiplied by 5, calculate the resultant value. How will this affect the cube of the new value?
Find ∛(72 + 836).
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.