How many sugar cubes of side $1 \mathrm{cm}$ can be packed in a box of dimensions $13 \mathrm{cm}\times 10 \mathrm{cm}\times 7 \mathrm{cm}$?

Find the total surface area of a cubical box in ${\mathrm{m}}^2$ if its side is of length $250 \mathrm{cm}$.

Find the weight of a metallic cube of side $70 \mathrm{cm}$ if $1 {\mathrm{cm}}^3$ weighs$100 \mathrm{g}$ in $\mathrm{kg}$.

Find the edge of a cube whose lateral surface area is $36 {\mathrm{cm}}^2$ in $\mathrm{cm}$.

The circumference of the base of a cylinder is $88 \mathrm{cm}$. If the height of the cylinder is $10 \mathrm{dm}$, find the curved surface area of the cylinder in ${\mathrm{cm}}^2$.

The curved surface area of a cylinder of height $5 \mathrm{cm}$ is $440 {\mathrm{cm}}^2$. Find the radius of the base. 

A cylinder has radius $r$ and height $h$. If the radius and height of a cylinder are doubled, then a new cylinder is obtained. Find the ratio of curved surface area of the original cylinder to that of the new cylinder. 

The total surface area of a cylinder is $440 {\mathrm{m}}^2$. Find the height of the cylinder if its radius is $7 \mathrm{m}$.