R S Aggarwal and Veena Aggarwal Solutions for Exercise 1: EXERCISE 15A

A cuboidal water tank is $6 \mathrm{m}$ long, $5 \mathrm{m}$ wide and $4.5 \mathrm{m}$ deep. How many litres of water can it hold? (Given, $1 {\mathrm{m}}^3=1000$ litres.)

The capacity of a cuboidal tank is $50000$ litres of water. If the breadth of the tank if its length and depth are respectively $10 \mathrm{m}$ and $2.5 \mathrm{m}$ (Given,$1000$ litres $=1 {\mathrm{m}}^3$.) is $k \mathrm{m}$, find $k$.

A godown measures $40 \mathrm{m}\times 25 \mathrm{m}\times 15 \mathrm{m}$. Find the maximum number of wooden crates, each measuring $1.5 \mathrm{m}\times 1.25 \mathrm{m}\times 0.5 \mathrm{m}$, that can be stored in the godown.

Find the capacity of a closed rectangular cistern whose length is$8 \mathrm{m}$, breadth $6 \mathrm{m}$ and depth $2.5 \mathrm{m}$ . Also, find the area of the iron sheet required to make the cistern.

The sum of length, breadth and depth of a cuboid is $19 \mathrm{cm}$ and the length of its diagonal is $11 \mathrm{cm}$. The surface area of the cuboid is $k {\mathrm{cm}}^2$. Find $k$.

Each edge of a cube is increased by $50\%$. Find the percentage increase in the surface area of the cube.

Water in a canal, $30 \mathrm{dm}$ wide and $12 \mathrm{dm}$ deep, is flowing with a velocity of $20 \mathrm{km}$ per hour. If $9 \mathrm{cm}$ of standing water is desired, then the area irrigated in $30$ minutes will be in the form of $k {\mathrm{m}}^2$. Find the value of $k.$

A solid metallic cuboid of dimensions $(9 \mathrm{m}\times 8 \mathrm{m}\times 2 \mathrm{m})$ is melted and recast into solid cubes of edge $2 \mathrm{m}$. Find the number of cubes so formed.