2. A water tank is filled with 104,000 litres of water.
Its length and breadth are 800 cm and 650 cm
respectively. What is the height of the water in
the tank?
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Answer:
The height of the water tank is 200 cm.
Step-by-step explanation:
The volume of water is given as 104,000 litres.
The length and breadth are given in cm, we convert cm into cubic cm.
We know that 1 litre =1000cm^3
So, the volume of water is = 104,000 * 1000cm^3
The water tank is a cuboid.
Formula of cuboid = length * breadth * height
We have the following values
V = 104,000 * 1000cm^3, length =800 cm and breadth = 650 cm.
Substitute the values in above.
Formula we get
104,000 * 1000 =800 * 650 * h
Rearrange the equation and solving for h
We get,
h = 104000 * 1000 / 800 * 650
h =104000 / 8 * 65
h = 13000/ 65
h = 1000/ 5
h = 200 cm
Therefore, the height of the water tank is 200 cm
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