An open rectangular cistern when measured outside is $1.35 \mathrm{m}$ long, $1.08 \mathrm{m}$ broad and $90 \mathrm{cm}$ deep and is made of iron which is $2.5 \mathrm{cm}$ thick. Find the capacity of the cistern and the volume of the iron used.

The diameter of a semi-circle field is $14 \mathrm{m}$. What is the cost of fencing the plot at the rate of $₹10$ per m.

If the volume of a cube is $64 {\mathrm{cm}}^3$. What is its surface area?

If the answer is k ${\text{cm}}^2$ , then write the value of k.

A cube of side $5 \mathrm{cm}$ is painted on all its faces.If it is sliced into $1 {\mathrm{cm}}^3$ cubes, how many $1 {\mathrm{cm}}^3$ cubes will have exactly one of their faces painted?

The surface area of the three coterminous faces of a cuboid are $6, 15$ and $10 {\mathrm{cm}}^2$, respectively. What is the volume of the cuboid?

If the answer is k ${\text{cm}}^3$ , then write the value of k.

How many small cubes with edge $20 \mathrm{cm}$ each can be just accommodated in a cubical box of $2 \mathrm{m}$ edge?

The perimeter of a trapezium is $52 \mathrm{cm}$ and its each non-parallel side is $10 \mathrm{cm}$ with its height $8 \mathrm{cm}$. If its area is $k {\mathrm{cm}}^2$, then find the value of $k.$

The surface areas of the six faces of a rectangular solid area $16, 16, 32, 32, 72$ and $72 {\mathrm{m}}^2$. What is the volume of the solid.

If the answer is k ${\text{m}}^3$ , then write the value of k.

The area of the floor of a rectangular hall of length $40 \mathrm{m}$ is $960 {\mathrm{m}}^2$. Carpets of size $6 \mathrm{m}\times 4 \mathrm{m}$ are available. Find how many carpets are required to cover the hall.