Perfect Cube Calculator
Are you searching for a quick tool that helps you identify if a number is a perfect cube? Look no further! Our perfect cube calculator will tell you if we can write a given number as the cube of an integer or not! Read on to know what a perfect cube is, how to find a perfect cube, and a list of some perfect cubes!
A cube is generally any number obtained by raising a given number to the power of 3. An interesting application of this concept lies in finding the volume of a cube.
Perfect cube definition
A perfect cube number is the number that results by raising an integer to the power of 3.
In other words, if we multiply an integer by itself three times, we get a perfect cube!
So mathematically, the following is the perfect cube formula:
A number N
is a perfect cube if we can write it as:
N = a * a * a
,where a
is an integer.
Generally, if we can find what the cube root of a number is, and if that is an integer, our number will be a perfect cube!
How do we use the perfect cube calculator?
If you want to find out if a number N
is a perfect cube or not, simply key in its value into the Number field of the calculator!
The perfect cube calculator will then tell you if the number is a perfect cube, and if yes, you will also be able to see its cube root!
Which numbers are perfect cubes?
Here are some examples of perfect cubes:

2Β³ = 2 * 2 * 2 = 8
, so8
is a perfect cube! 
Similarly,
(2)Β³ = (2) * (2) * (2) = 8
, so8
is also a perfect cube! 
6Β³ = 6 * 6 * 6 = 216
, so216
is a perfect cube! 
Similarly,
(6)Β³ = (6) * (6) * (6) = 216
, so216
is also a perfect cube!
Unlike square root, we can find cube roots for negative numbers too!
Some other examples of identifying perfect cubes are:

Given the number
100
, its cube root is approximately4.64
, which is not an integer. So100
is not a perfect cube. 
Given the number
1000
, its cube root is10
, which is an integer. So1000
is a perfect cube number, which you can also check by using our perfect cube calculator! 
Given the number
125,000
, its cube root is50
, which is an integer. So,125,000
is a perfect cube number which you can also verify, using our perfect cube calculator!
List of Perfect Cubes
Here's a list of the first 10 perfect cubes for readyreference:
Number    Cube of number 

1    1 
2    8 
3    27 
4    64 
5    125 
6    216 
7    343 
8    512 
9    729 
10    1000 
Similar to perfect cubes, we also have perfect squares, which are numbers whose square roots will be integers.
A few interesting extensions of the concept of roots in general are:
FAQ
Can the cube root of a number be negative?
Yes! The cube root of any negative number will always be negative, and the cube root of any positive number will always be positive.
Is 125 a perfect cube?
Yes! We can write 125 as 5 Γ 5 Γ 5, which means that the cube root of 125 is 5.
Since 5 is an integer, 125 is a perfect cube π!
Is 64 a perfect cube?
Yes! We can write 64 as 4 Γ 4 Γ 4, which means that the cube root of 64 is 4.
Since 4 is an integer, 64 is a perfect cube π!
Is 27 a perfect cube?
Yes! We can write 27 as 3 Γ 3 Γ 3, which means that the cube root of 27 is 3.
Since 3 is an integer, 27 is a perfect cube π!
Is 8 a perfect cube?
Yes! We can write 8 as 2 Γ 2 Γ 2, which means that the cube root of 8 is 2.
Since 2 is an integer, 8 is a perfect cube π!
Is 1 a perfect cube?
Yes! We can write 1 as 1 Γ 1 Γ 1, which means that the cube root of 1 is 1 itself.
So 1 is a perfect cube π!
Is 0 a perfect cube?
Yes! We can write 0 as 0 Γ 0 Γ 0, which means that the cube root of 0 is 0 itself.
So 0 is a perfect cube π!