Write the cubes of $5$ natural numbers which are multiples of $3$ and verify the following:
“The cube of a natural number which is a multiple of $3$ is a multiple of $27$".

Write the cubes $5$ natural numbers of the form $3\mathrm{n}+2$ (i.e.$5,8,11\dots .$) and verify the following:
“The cube of a natural number of the form $3\mathrm{n}+2$ is a natural number of the same form i.e. when it is divided by $3$ the remainder is $2$".

Write the cubes of $5$ natural numbers of which are multiples of $7$ and verify the following:

"The cube of a multiple of $7$ is a multiple of $7^3$".

Check whether the given number is a perfect cube:

$64$

Check whether the given number is a perfect cube:

$216$

Check whether the given number is a perfect cube:

$243$

Check whether the given number is a perfect cube:

$1000$

Check whether the given number is a perfect cube:

$1728$