S.N. Chhibber Solutions for Chapter: Surface Area and Volume of Solids, Exercise 6: Revision Time

The length and breadth of a room are in the ratio $3:2$. The area of the floor is $19.44 {\mathrm{m}}^2$. Find the dimensions of the room if the area of four walls is $81 {\mathrm{m}}^2$.

A field that is $125 \mathrm{m}$ long and $64 m$ wide is to be enclosed by a $2.2 \mathrm{m}$ high fence. Find the cost of constructing the fence at $₹4.20 \mathrm{per} \mathrm{sq}. \mathrm{metre}$.

The cost of painting the walls of a room at $₹75 \mathrm{per} {\mathrm{m}}^2$amounts to $₹11,250$ and the cost of carpeting the room at $₹24 \mathrm{per} {\mathrm{m}}^2$ comes to $₹1878$. If the length of the room is $8.5 \mathrm{m}$, find the dimensions of the room.

If the capacity of a good carrier whose inside measurements are $5 \mathrm{m}\times 2.8 \mathrm{m}\times 1.5 \mathrm{m}$ is $k {\mathrm{m}}^3$, then find the value of $k$.

The length, breadth and height of a cuboid are in the ratio $6:4:7$. If total surface area of the cuboid is given as $1692 {\mathrm{cm}}^2$. If its volume is $k c{m}^3$ then find the value of $k$.

A metal cube of $16 \mathrm{cm}$ edge is melted and formed into four smaller cubes. If the edges of three smaller cubes are $2 \mathrm{cm}, 4 \mathrm{cm} \mathrm{and} 6 \mathrm{cm}.$ If the side of the fourth smaller cube is $2\sqrt[3]{k} \mathrm{cm}$, then find the value of $k$.

The curved surface area and volume of a cylindrical pillar are $528 {\mathrm{m}}^2$ and $1584 {\mathrm{m}}^3$ respectively. Find the diameter and height of the pillar.

A well of $2 \mathrm{m}$ diameter is dug $7 \mathrm{m}$ deep. The earth dug out is spread evenly all around it to a width of $5 \mathrm{m}$ to form an embankment. If the height of the embankment so formed is $k \mathrm{cm}$, then find the value of $k$.