Add the following cubic numbers.

${10}^3+9^3$

And check whether it's a Ramanujan's number or not.

Find the smallest number by which $8788$ must be divided so that the quotient is a perfect cube.

Find the value of ${25}^3$ using the short-cut method.

Find the value of ${68}^3$ using the short-cut method.

Find the smallest number by which $1323$ must be multiplied so that the product is a perfect cube.

Find the value of ${47}^3$ using the short-cut method.

Find the smallest number by which $2560$ must be multiplied so that the product is a perfect cube.

Evaluate: ${\left(8\right)}^3$

Check whether, $1000$ is a cube of an even number or not?

Find the value of ${\left(84\right)}^3$ using the short-cut method.

Check whether, $9261$ is a cube of an even number or not?

Check whether $3375$ is a perfect cube or not? If it is a perfect cube, find the number whose cube is $3375$.