Question

What is the definition of perfect cube and can you give an example

Answer 1

a perfect cube is a natural number in the form

`{a}^(3) = a * a * a`
therefore

`{1}^(3) = 1 \\ {2}^(3) = 8 \\ {3}^(3) = 27 \\ {4}^(3) = 64 \\ {5}^(3 ) = 125 \\ . \\ . \\ .\\ .`
and also you can define it as any natural number who's third root is also a natural number for examble

`\sqrt[3]{1000} = 10`
so you can say that the tenth perfect cube is 1000