S Purkayastha Solutions for Chapter: Surface Area and Volume, Exercise 10: TEST YOURSELF

A matchbox measures $4 \mathrm{cm}\times 2.5 \mathrm{cm}\times 1.5 \mathrm{cm}$. What will be the volume of a packet containing $12$ such boxes? How many such packets can be placed in a box whose size is $7.5 \mathrm{cm}\times 60 \mathrm{cm}\times 32 \mathrm{cm}$?

Find the volume in $\mathrm{cu}. \mathrm{dm}$ of the cube whose side is:

$1.5 \mathrm{m}$

Find the volume in $\mathrm{cu}. \mathrm{dm}$ of the cube whose side is:

$35 \mathrm{cm}$

Find the volume in $\mathrm{cu}. \mathrm{dm}$ of the cube whose side is:

$1 \mathrm{dm} 12 \mathrm{cm}$

Find the volume in $\mathrm{cu}. \mathrm{dm}$ of the cube whose side is:

$3 \mathrm{m} 05 \mathrm{cm}$

A village with a population of $4000$ requires $15 \mathrm{litres}$ of water per day per head. It has a tank which is $20 \mathrm{m}$ long, $15 \mathrm{m}$ broad and $6 \mathrm{m}$ high. For how many days will the water of this tank be used?

The radii of two circular cylinders are in the ratio $2:3$ and their heights are in the ratio $5:4$. Calculate the ratio of their curved surface areas.

Find the cost of cementing the inner curved surface area of a tube well $280 \mathrm{m}$ deep and with $3 \mathrm{m}$ diameter at the rate of $₹2.50$ per metre square.