Question

How many litres are in 2.10 kilometre?

Answer 1

Hint: Check out the different units of volume measurement and the relation between them. Observe the relationship of conversion of unit from litres to kilolitres and use the information: - 1 kilolitre = 1000 litre to calculate the correct answer.

Complete step by step answer:
Here, we have been provided with a volume of 2.10 kilolitre and we have been asked to convert it into litres, that is from kilolitre to litre. First let us see the definition of volume and the units needed to measure it.
Volume is defined as the amount of space (3 – D space) occupied by an object. The object is a closed surface. Volume measures the quantity in three – dimensional space. For example: - The volume of any container of an arbitrary shape is generally understood to be the capacity of that container, that means the amount of fluid that can be held by the container. Fluid means gas or liquid. Different shapes have different formulas for measuring their volume.
Now, there are various units to measure the volume of any container that depends on the numerical value of the volume that we are measuring. For example: - small capacities are measured in units like millimetres, centilitres, decilitres etc. and large capacities are measured in units like hectolitres, kilolitres.
Here, our main concern is to find the relationship between litres and kilolitres. So, the conversion formula is given as: - 1 litre = \[\dfrac{1}{1000}\] kilolitres, that is one litre measures one – thousand of one kilolitre.
Now, let us come to the question. We have been provided 2.10 kilolitres. So, we have,
\[\Rightarrow \dfrac{1}{1000}\] kilolitre = 1 litre
By cross – multiplication we get,
\[\Rightarrow \] 1 kilolitre = 1000 litres
\[\Rightarrow \] 2.10 kilolitres = 2.10 \[\times \] 1000 litres
 \[\Rightarrow \] 2.10 kilolitres = 2100 litres
Hence, 2.10 kilolitres is equivalent to 2100 litres.

Note:
One must remember the relationships between several units of volume measurement as there are many problems where we will be required to use these conversions. Remember that the S.I unit of volume is \[{{m}^{3}}\] and \[1{{m}^{3}}=1000\] litres = 1 kilolitre. Volume is also represented by the units like \[{{m}^{3}},c{{m}^{3}},m{{m}^{3}}\] etc. and these are mainly used in Physics. So, you must remember all the units and relations between them.