Find the smallest number by which $10985$ must be divided to obtain a perfect cube.

Find the smallest number by which $28672$ must be divided to obtain a perfect cube.

Find the smallest number by which $13718$ must be divided to obtain a perfect cube.

Rahul makes a cuboid of plasticine of sides $3 \mathrm{cm}\times 3 \mathrm{cm}\times 5 \mathrm{cm}$. How many such cuboids will he need to form a cube?

Find the volume of a cubical box whose surface area is $486 {\mathrm{cm}}^2$.

Check whether $125$ is a cube of an even natural number or an odd natural number.

Check whether $512$ is a cube of an even natural number or an odd natural number.

Check whether $1000$ is a cube of an even natural number or an odd natural number.

Check whether $2197$ is a cube of an even natural number or an odd natural number.