A rectangular water tank measures 180cm long, 1.3m wide and 1.2m high. The tank contains 865.8kg of water.Calculate the amount of water, in litres, needed to fill up the tank.
Question
A rectangular water tank measures 180cm long, 1.3m wide and 1.2m high. The tank contains 865.8kg 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, we need to make sure all the measurements are in the same units. In this case, we'll convert everything to meters.
So, the length of the tank is 180 cm, which is 1.8 meters.
Therefore, the volume of the tank in cubic meters is:
Volume = 1.8m x 1.3m x 1.2m = 2.808 cubic meters
We know that 1 cubic meter is equal to 1000 liters, so the volume of the tank is:
Volume = 2.808 cubic meters x 1000 = 2808 liters
Next, we need to find out how much water is already in the tank. We know that the density of water is approximately 1 kg per liter. So, if the tank contains 865.8 kg of water, this means it already contains 865.8 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:
Amount of water needed = Volume of tank - Amount of water already in tank Amount of water needed = 2808 liters - 865.8 liters = 1942.2 liters
So, 1942.2 liters of water are needed to fill up the tank.
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