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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 1000 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, ∛1000 is written as 1000(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 1000, then y3 can be 1000. Since 1000 is a perfect cube, its cube root is exactly 10.
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 1000. The common methods we follow to find the cube root are given below:
Since 1000 is a perfect cube, we can use the prime factorization method for simplicity.
Let's find the cube root of 1000 using the prime factorization method.
First, factor 1000 into its prime factors: 1000 = 2 × 2 × 2 × 5 × 5 × 5
Grouping the factors in triples gives us: (2 × 2 × 2) × (5 × 5 × 5)
Each group represents a cube, so take one factor from each group:
∛1000 = 2 × 5 = 10
The cube root of 1000 is 10.
Imagine you have a cube-shaped toy that has a total volume of 1000 cubic centimeters. Find the length of one side of the cube.
A company manufactures 1000 cubic meters of material. Calculate the amount of material left after using 200 cubic meters.
A bottle holds 1000 cubic meters of volume. Another bottle holds a volume of 300 cubic meters. What would be the total volume if the bottles are combined?
When the cube root of 1000 is multiplied by 2, calculate the resultant value. How will this affect the cube of the new value?
Find ∛(500+500).
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.