Find the volume of a cube whose total surface area is $384 {\mathrm{cm}}^2$.

How many soap cakes each measuring $7 \mathrm{cm}\times 5 \mathrm{cm}\times 2.5 \mathrm{cm}$ can be placed in a box of size $56 \mathrm{cm}\times 40 \mathrm{cm}\times 25 \mathrm{cm}$?

The radius and height of the cylinder are in the ratio $5:7$ and its volume is $550 {\mathrm{cm}}^3$. Find its radius and height.

Find the number of coins, $1.5 \mathrm{cm}$ in diameter and $0.2 \mathrm{cm}$ thick, to be melted to form a right circular cylinder with a height of $10 \mathrm{cm}$ and a diameter of $4.5 \mathrm{cm}$.

Find the surface area of a chalk box, whose length, breadth and height are $18 \mathrm{cm}$, $10 \mathrm{cm}$ and $8 \mathrm{cm}$ respectively.