
If the volume of the water tank is 5\[{m^3}\]. Then, what will be the capacity of the water tank in litres ?
Answer
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Hint:- Here we have to only change the unit of volume of water in the tank from \[{m^3}\] to litres. And that only will be the capacity of the water tank in litres.
Complete step-by-step answer:
As we know that the shape of the water tank is not given. So, it can be cuboid, cylinder or any other shape.
As, there is no shape given for the tank so we can assume any shape for the tank. So, let us draw the water tank.
But we did not need to know the shape of the figure because either it can be of any shape if the volume of the tank is given then its capacity won’t change at all.
So, now the capacity of the water tank will be equal to the maximum amount of water it can hold in litres.
So, now we had to change the volume from \[{m^3}\] to litres.
As we know that the tank with volume 1\[{m^3}\] can hold a capacity of 1000 litres of water.
So, 5\[{m^3}\] of the volume of the tank will have a capacity of 5000 litres of water.
Note:- Whenever we come up with this type of problem, we should remember that the capacity of a container does not depend on its shape, it is only dependent on the volume of that container. So, to find the capacity of any container we had to change its unit of volume i.e. \[{m^3}\] to the required unit of capacity i.e. litres here. So, we can change the unit by using a unit conversion method like 1\[{m^3}\] = 1000 Litres.
Complete step-by-step answer:
As we know that the shape of the water tank is not given. So, it can be cuboid, cylinder or any other shape.
As, there is no shape given for the tank so we can assume any shape for the tank. So, let us draw the water tank.
But we did not need to know the shape of the figure because either it can be of any shape if the volume of the tank is given then its capacity won’t change at all.
So, now the capacity of the water tank will be equal to the maximum amount of water it can hold in litres.
So, now we had to change the volume from \[{m^3}\] to litres.
As we know that the tank with volume 1\[{m^3}\] can hold a capacity of 1000 litres of water.
So, 5\[{m^3}\] of the volume of the tank will have a capacity of 5000 litres of water.
Note:- Whenever we come up with this type of problem, we should remember that the capacity of a container does not depend on its shape, it is only dependent on the volume of that container. So, to find the capacity of any container we had to change its unit of volume i.e. \[{m^3}\] to the required unit of capacity i.e. litres here. So, we can change the unit by using a unit conversion method like 1\[{m^3}\] = 1000 Litres.
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