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.

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!

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!

Here are some examples of perfect cubes:

• $\small 2^3 = 2 \times 2 \times 2 = 8$, so $\small 8$ is a perfect cube!

• Similarly, $\small (-2)^3\! =\! (-2)\! \times\! (-2)\! \times\! (-2)\! =\! -8$, so $\small -8$ is also a perfect cube!

• $\small 6^3 = 6 \times 6 \times 6 = 216$, so $\small 216$ is a perfect cube!

• Similarly, $\small (-6)^3\! =\! (-6)\! \times\! (-6)\! \times\! (-6)\! =\! -216$, so $\small -216$ 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 $\small 100$, its cube root is approximately $\small 4.64$, which is not an integer. So $\small 100$ is not a perfect cube.

• Given the number $\small -1000$, its cube root is $\small -10$, which is an integer. So $\small -1000$ is a perfect cube number, which you can also check by using our perfect cube calculator!

• Given the number $\small 125,000$, its cube root is $\small 50$, which is an integer. So, $\small 125,000$ is a perfect cube number which you can also verify using our perfect cube calculator!

Here's a list of the first 10 perfect cubes for ready-reference:

Similar to perfect cubes, we also have perfect squares, which are numbers whose square roots are integers. Learn more about that in our perfect square calculator.

A few interesting extensions of the concept of roots, in general, are also available in the following tools:

• Digital root calculator
• Complex roots calculator
• Root calculator

Hey! We thought that instead of perfect cubes, you might be looking for magic squares: go to our magic square calculator and learn everything about them!