O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Volume and Surface Area of Solids, Exercise 4: Revision Exercise

$50$ men took a dip in a water tank $40 \mathrm{m}$ long and $20 \mathrm{m}$ broad on a religious day. If the average displacement of water by a man is $4 {\mathrm{m}}^3$,  then the rise in the water level in the tank will be

If the areas of three adjacent faces of a cuboidal box are $120 {\mathrm{cm}}^2$, $72 {\mathrm{cm}}^2$ and $60 {\mathrm{cm}}^2$, respectively then find the volume of the box.

If $S$ is the total surface area of a cube and $V$ is its volume, then which one of the following is correct?

If the base area of vessel which is in the form of a cuboid is $A {\mathrm{cm}}^2$, the internal height of it is $25 \mathrm{cm}$ and the capacity is $1\frac{3}{4} \mathrm{litres}$, then find the value of $A$.

The edges of cuboid are in the ratio $1:2:3$ and the surface area is $88 {\mathrm{cm}}^2$.If its volume is $k c{m}^3$, then find the value of $k$.

Three cubes of sides $1 \mathrm{cm}$, $6 \mathrm{cm}$ and $8 \mathrm{cm}$ are melted to form a new cube. If the total surface area of the new cube is $k {\mathrm{cm}}^2$, then find the value of $k$.

Find the volume and surface area of a cube whose edge is $5 \mathrm{cm}$.

Surface area of cube is $24 {\mathrm{cm}}^2$ and its volume is $k c{m}^3$. Find the value of $k$.