What is the length (in metre) of the longest rod that can be placed in a room which is $2$ $metre$ long,$2$ $metre$ broad,and $6$ $metre$ high?

$2$ cubes,each of side $12\, cm$,are joined end-to-end. The surface area of the resulting cuboid is...........$cm^2$.

The radius of a cylinder is made twice as large. How should the height be changed so that its volume remains unchanged?

Assume that a drop of water is spherical and its diameter is $\frac{1}{10} \text{ cm}$. $A$ conical glass has a height equal to the diameter of its rim. If $32,000$ drops of water fill the glass completely,then the height of the glass (in $\text{cm}$) is:

If the area of the base,height,and volume of a right prism are $(3 \sqrt{3} / 2) P^{2} \, \text{cm}^{2}$,$100 \sqrt{3} \, \text{cm}$,and $7200 \, \text{cm}^{3}$ respectively,then the value of $P$ is?

How many cubes of $10\, cm$ edge can be put in a cubical box of $1\, m$ edge?