Volume of a Cuboid

A river $3 \mathrm{m}$ deep and $40 \mathrm{m}$ wide is flowing at the rate of $2 \mathrm{k}\mathrm{m}$ per hour. If $k {\mathrm{m}}^3$ water will fall into the sea in a minute, find $k$?

A solid cube of side $12 \mathrm{c}\mathrm{m}$ is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.

A godown measures $40 \mathrm{m}\times 25 \mathrm{m}\times 15 \mathrm{m}$. Find the maximum number of wooden crates each measuring $1.5 \mathrm{m}\times 1.25 \mathrm{m}\times 0.5 \mathrm{m}$ that can be stored in the godown.

A village, having a population of $4000$, requires $150$ litres of water per head per day. It has a tank measuring $20 \mathrm{m}\times 15 \mathrm{m}\times 6 \mathrm{m}$. For how many days will the water of this tank last?

The capacity of a cuboidal tank is $50000 \mathrm{l}\mathrm{i}\mathrm{t}\mathrm{r}\mathrm{e}\mathrm{s}$ of water. If its length, breadth and depth are respectively $2.5 \mathrm{m}, k \mathrm{m}$ and $10 \mathrm{m}$, then find $k$.

Find the cost of digging a cuboidal pit $8 \mathrm{m}$ long, $6 \mathrm{m}$ broad and $3 \mathrm{m}$ deep at the rate of $\mathrm{₹}\mathrm{}30$ per ${\mathrm{m}}^3$.

A cuboidal vessel is $10 \mathrm{m}$ long and $8 \mathrm{m}$ wide. If the height of the cuboidal vessel is $k \mathrm{m}$ so that it can hold $380$ cubic meters of a liquid, then find the value of $k$ upto two decimal places.

A cuboidal water tank is $6 \mathrm{m}$ long, $5 \mathrm{m}$ wide and $4.5 \mathrm{m}$ deep. If it can hold $\mathrm{L} \mathrm{litres}$ of water, then find the value of $\mathrm{L}$. $\left(1{\mathrm{m}}^3=1000 \mathrm{l}\mathrm{i}\mathrm{t}\mathrm{r}\mathrm{e}\mathrm{s}\right)$

A matchbox measures $4 \mathrm{c}\mathrm{m}\times 2.5 \mathrm{c}\mathrm{m}\times 1.5 \mathrm{c}\mathrm{m}$. If the volume of a packet containing $12$ such boxes is $k {\mathrm{cm}}^3$, find the value of $k$?