Question

The volume of a water tank is $5{m^3}$. What is its capacity in litres?

Answer 1

Hint: First of all this is a very simple and a very easy problem. Given the volume of the tank in meter cube and we have to find the capacity in litres, whenever given the volume in meter cube, and we have to convert it into litres, then just multiply the meter cube with 1000, to get the capacity in litres, this is the conversion from ${m^3}$ to litres.
$ \Rightarrow 1{m^3} = 1000$Litres.

Complete step-by-step solution:
Given that there is a tank and given that the volume of this tank is $5{m^3}$.
We are asked to find the capacity of this tank in liters.
We know that if the volume is $1{m^3}$, then the capacity of it is 1000 litres.
So if the volume is $1{m^3}$, then the capacity of this volume is = 1000L
The above statement is mathematically expressed below:
$ \Rightarrow 1{m^3} = 1000L$
Hence if the volume is $5{m^3}$, then the capacity of this volume is obtained by,
The above equation is multiplied by 5 on both sides of the equation as given below:
$ \Rightarrow 5 \times \left( {1{m^3}} \right) = 5 \times \left( {1000L} \right)$
$ \Rightarrow 5{m^3} = 5000L$

The capacity of the tank is 5000 litres, when the volume of the tank is $5{m^3}$.

Note: Please note that while solving such kind of conversion problems, we need to know the conversions perfectly, which are given below:
$ \Rightarrow 1c{m^3} = 1mL$
$ \Rightarrow 1L = 1000mL$
$ \Rightarrow 1{m^3} = {10^6}mL$
Since ${10^3}mL = 1L$
$\therefore 1{m^3} = {10^3}L$
Thus one meter cube volume is equal to 1000 litres.