A rectangular water tank measures 190cm long, 2.6m wide and 1.4m high. The tank contains 889.2kg of water.Calculate the amount of water, in litres, needed to fill up the tank.
Question
A rectangular water tank measures 190cm long, 2.6m wide and 1.4m high. The tank contains 889.2kg of water.Calculate the amount of water, in litres, needed to fill up the tank.
Solution
First, we need to calculate the volume of the tank. The volume of a rectangular tank is given by the formula:
Volume = length x width x height
However, the length is given in cm while the width and height are given in meters. We need to convert the length from cm to meters.
1 meter = 100 cm
So, 190 cm = 190/100 = 1.9 meters
Now we can calculate the volume:
Volume = 1.9 m x 2.6 m x 1.4 m = 6.916 cubic meters
Since 1 cubic meter = 1000 liters, the volume of the tank is 6.916 x 1000 = 6916 liters.
Next, we need to find out how much water is already in the tank. The density of water is approximately 1 kg per liter. So, if the tank contains 889.2 kg of water, it means it contains 889.2 liters of water.
Finally, to find out how much more water is needed to fill up the tank, we subtract the amount of water already in the tank from the total volume of the tank:
6916 liters - 889.2 liters = 6026.8 liters
So, 6026.8 liters of water are needed to fill up the tank.
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