 QUESTION

# The rainfall recorded on a certain day was 5cm. Find the volume of water that fell on a 2 hectare field?

Hint: We will first convert hectare into ${{m}^{2}}$. As we know that $1hectare=10000{{m}^{2}}$ then we convert the height rain to metre, and finally we will find the volume of water by multiplying the area of the field with the height of rain.
Conversion of 5cm rainfall into metre. We know that $1m=100cm$, So we get $5cm=0.05metre$, thus volume of rainfall is 0.05m. Now we will convert the field area which is given in hectare into metre. We know that $1hectare=10000{{m}^{2}}$, therefore, we get $2hectare=2\times 10000{{m}^{2}}=20000{{m}^{2}}$.
Now the volume of the water that fell on that day will be calculated as Area of field multiplied with height of rainfall. We have an area of field = 20000${{m}^{2}}$, also height of rainfall = 0.05m. Thus, the volume of water in the field will be $=20000{{m}^{2}}\times 0.05m$ $=1000{{m}^{3}}$. We can convert ${{m}^{3}}$ into litres as $1{{m}^{3}}=1000l$, therefore,
$1000{{m}^{3}}=(1000\times 1000)L$
$={{10}^{6}}litres$
Therefore the volume of the water in the field will be ${{10}^{6}}litres$ on that day.