EXERCISE - 10.1

Find the lateral surface area and total surface area of the given right prism.

The total surface area of a cube is $1350$ $\mathrm{sq}.\mathrm{m}$. Find its volume in ${\mathrm{m}}^3$.

Find the area of four walls of a room in ${\mathrm{m}}^2$ (Assume that there are no doors or windows) if its length is $12 \mathrm{m}$, breadth is $10 \mathrm{m}$ and height $7.5 \mathrm{m}$.

The volume of a cuboid is $1200 {\mathrm{cm}}^3$. The length is $15 \mathrm{cm}$ and breadth is $10 \mathrm{cm}$. Find its height in $\mathrm{cm}$.

How does the total surface area of a box change if each dimension is doubled and if each dimension is tripled. Express in words. Can you find the area if each dimension is raised to $n$ times?

The base of a prism is triangular in shape with sides $3 \mathrm{cm}, 4 \mathrm{cm}$ and $5 \mathrm{cm}$. Find the volume of the prism in ${\mathrm{cm}}^3$ if its height is $10 \mathrm{cm}$.

A regular square pyramid is $3 \mathrm{m}$ in height and the perimeter of its base is $16 \mathrm{m}$. Find the volume of the pyramid in ${\mathrm{m}}^3$.

An Olympic swimming pool is in the shape of a cuboid of dimensions $50 \mathrm{m}$ long and $25 \mathrm{m}$ wide. If it is $3 \mathrm{m}$ deep throughout, how many litres of water does it hold?