The given fish tank is filled with water to a depth of 5 cm. Rohit pours another 4 L of water into the tank. How much water is there in the tank now? Give your answer in litres and millilitres.
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Answer:
To find the capacity of the fish tank, at first, we have to find out its volume. We will get the volume in the cube cm unit. We will convert that into litre. Finally we can find the answer.
Complete step-by-step answer:
It is given that the length, breadth and height of the fish tank is 4040 cm, 6060 cm and 5050 cm respectively. Also, it is given that it contains 5050 litres of water.
We know that, 10001000 cube cm =1=1 litre
To find the capacity of the fish tank, at first, we have to find out its volume.
We know that, if l,b,hl,b,h be the length, breadth and height of a cuboid, then its volume is l×b×hl×b×h cube cm.
Substitute the values of length, breadth and height we get,
The volume of the fish tank is 40×60×5040×60×50cube cm
Let us simplify the volume of the fish tank we get,
The volume of the tank is 120000120000 cube cm.
The capacity of the tank in litres is found by dividing the cubic centimetre by 1000
So, the capacity of the tank is 12000010001200001000 litres=120=120 litres
Now, we know that the tank has 5050 litres of water.
To fill the tank, it needs more water.
So, the required amount of water is 120−50=70120−50=70 litre of water.
Hence, 7070 litres more water will be needed to completely fill the tank.
Note: We know that, if l,b,hl,b,h be the length, breadth and height of a cuboid, then its volume is l×b×hl×b×h cube cm.
While converting cubic centimetre to litres we should be careful as we have to divide the value which is in cubic centimetre by 1000.
To convert litres to cubic centimetre we should multiply the litre value by 1000.n
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