Test whether $516$ is a perfect cube or not.

Test whether $729$ is a perfect cube or not.

Test whether $8000$ is a perfect cube or not.

Test whether $2700$ is a perfect cube or not.

Find the smallest number by which $8788$ must be multiplied to obtain a perfect cube?

What smallest number should $7803$ be multiplied with so that the product becomes a perfect cube?

Find the smallest number by which $8640$ must be divided so that the quotient is a perfect cube?

Ravi made a cuboid of plasticine of dimensions $12\mathrm{cm}, 8\mathrm{cm} \mathrm{and} 3\mathrm{cm}$. How many minimum numbers of such cuboids will be needed to form a cube?

Find the smallest prime number dividing the sum $3^{11}+5^{13}$$.$