rectangular water tank measures 280cm long, 2.1m wide and 2.4m high. The tank contains 8232kg of water.Calculate the amount of water, in litres, needed to fill up the tank.
Question
rectangular water tank measures 280cm long, 2.1m wide and 2.4m high. The tank contains 8232kg 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 because the density of water is typically given in kg/m^3.
1 cm = 0.01 m, so the length of the tank in meters is 280 cm * 0.01 = 2.8 m.
So, the volume of the tank in cubic meters is:
Volume = 2.8 m (length) x 2.1 m (width) x 2.4 m (height) = 14.112 m^3
The density of water is approximately 1000 kg/m^3. So, the mass of water that the tank can hold when it's full is:
Mass = Volume x Density = 14.112 m^3 x 1000 kg/m^3 = 14112 kg
The tank currently contains 8232 kg of water. So, the mass of water needed to fill the tank is:
Mass_needed = Mass_full - Mass_current = 14112 kg - 8232 kg = 5880 kg
Since the density of water is 1 kg/L, this means we need 5880 L of water to fill the tank.
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