Prince made a cuboid with the material Plasticine and with the dimensions $12 cm, 8 cm$ and $3 cm$. How many minimum numbers of such cuboids will be needed to form a cube?

A student created a pattern for the sum of cubes as below.

$1^3+2^3=(1+2{)}^2$

$1^3+2^3+3^3=(1+2+3{)}^2$

$1^3+2^3+3^3+4^3=(1+2+3+4{)}^2$

Use the pattern to find the sum, $1^3+3^3+5^3+7^3+9^3+{11}^3$?

Aarti computed the volume of cube and to save time wrote only the first and the last digits of the volume, as shown below. The four digits between first and last digits are missing.

Volume $=3[ ][ ][ ][ ]3 {\mathrm{cm}}^3$

The volume of the cube is _____ ${\mathrm{cm}}^3$

Evaluate: $\sqrt[3]{9261}$

A cuboidal container of dimensions $120 \mathrm{cm} \times 150 \mathrm{cm} \times 180 \mathrm{cm}$ contains milk upto the brim. The entire milk needs to be redistributed in identical cubical containers for transportation, with the maximum possible amount of milk in each cubical container. The sides of cubical containers is a whole number when measured in centimetres.

The number of cubical containers to be used is _____ 

Nisha wants to express ${20}^3$ as the sum of odd numbers. Given below is how every cube number expressed as the sum of odd numbers.

$1^3=1, 2^3=3+5, 3^3=7+9+11, 4^3=13+15+17+19$ and so on

Express ${20}^3$ as the sum of odd numbers.