R. D. Sharma Solutions for Chapter: Mensuration-II (Volumes and Surface Areas of a Cuboid and a Cube), Exercise 2: EXERCISE

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

A rectangular field is $70 \mathrm{m}$ long and $60 \mathrm{m}$ broad. A well of dimensions $14 \mathrm{m}\times 8 \mathrm{m}\times 6 \mathrm{m}$ is dug outside the field and the earth dug-out from this well is spread evenly on the field. How much will the earth level rise?

A swimming pool is $250 \mathrm{m}$ long and $130 \mathrm{m}$ wide. $3250$ cubic meters of water is pumped into it. Find the rise in the level of water.

A beam $5 \mathrm{m}$ long and $40 \mathrm{cm}$ wide contains $0.6$cubic meter of wood. If the beam is $k \mathrm{m}$ then find $k$.

The rainfall on a certain day was $6 \mathrm{cm}$.  How many litres of water fell on $3$ hectares of field on that day?

An $8 \mathrm{m}$ long cuboid beam of wood when sliced produces four thousand $1 \mathrm{cm}$ cubes and there is no wastage of wood in this process. If one edge of the beam is $0.5 \mathrm{m}$, find the third edge in meter.

The dimensions of a metal block are $2.25 \mathrm{m}$ by $1.5 \mathrm{m}$ by $27 \mathrm{cm}$. It is melted and recast into cubes, each of the side $45 \mathrm{cm}$. How many cubes are formed?

A solid rectangular piece of iron measures $6 \mathrm{m}$ by $6 \mathrm{cm}$ by $2 \mathrm{cm}$. Find the weight of this piece in $\mathrm{kg}$, if $1 {\mathrm{cm}}^3$ of iron weighs $8 \mathrm{gm}$.