O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Volume and Surface Area of Solids, Exercise 1: Exercise

A rectangular water tank has $16200$ litres of water. The floor of the water tank is $4.5\mathrm{}\mathrm{m}\times 3\mathrm{}\mathrm{m}$. Find the height of water in the tank.

In a shower, $6 \mathrm{c}\mathrm{m}$ of rainfall was there. If the volume of water that fell on $1.5$ hectares of land is $k {\mathrm{m}}^3$, then find the value of $k$. $[$Hint: $1 \mathrm{hectare}=10000 {\mathrm{m}}^2]$

A rectangular room is $10\mathrm{m}$ long,$6 m$ wide and $5\mathrm{m}$ high. It has two doors $1.5\mathrm{}\mathrm{m}$ by $2\mathrm{}\mathrm{m}$ each and two windows $2\mathrm{}\mathrm{m}$ by $1.8\mathrm{}\mathrm{m}$ each. Find the cost of white washing the walls and ceiling of the room at the rate $\mathrm{₹}50 \mathrm{p}\mathrm{e}\mathrm{r} {\mathrm{m}}^2$.

The outer dimensions of a closed wooden box are $12\mathrm{}\mathrm{c}\mathrm{m}$ by $10\mathrm{}\mathrm{c}\mathrm{m}$ by $9\mathrm{}\mathrm{c}\mathrm{m}$. Thickness of wood is $1.5\mathrm{c}\mathrm{m}$. Find the total cost of wood required to make the box, if $1{\mathrm{c}\mathrm{m}}^3$ of wood costs $₹3.00$.

Cubes $\mathrm{A},\mathrm{B}$ and $\mathrm{C}$ having edges $3\mathrm{}\mathrm{c}\mathrm{m},\mathrm{}4\mathrm{}\mathrm{c}\mathrm{m}$ and $5\mathrm{}\mathrm{c}\mathrm{m}$ are melted and a new cube is formed. Find the edge of the new cube.

A birthday cake measuring $60\mathrm{}\mathrm{c}\mathrm{m}$ by $40\mathrm{}\mathrm{c}\mathrm{m}$ by $15\mathrm{}\mathrm{c}\mathrm{m}$ was ordered for a party. If each child in the party enjoys $240\mathrm{}{\mathrm{c}\mathrm{m}}^3$ of cake and the cake is finished, how many children attended the party?

A village having a population of $3600$, requires $125$ litres of water per head per day. It has a tank $25\mathrm{m}$ long, $18\mathrm{}\mathrm{m}$ broad and $5\mathrm{}\mathrm{m}$ high. For how many days the water of the tank will last?

Two cubes each of volume $512\mathrm{}{\mathrm{c}\mathrm{m}}^3$ are joined end to end. The surface area of the resulting cuboid is $k {\mathrm{cm}}^2$. Find the value of $k$.