Air weighs 1.34 g a litre. A glass tank is 5.4 metres by 6 metres by 4.4 metres. What is the weight of the air in this tank in grams?
Question
Air weighs 1.34 g a litre. A glass tank is 5.4 metres by 6 metres by 4.4 metres. What is the weight of the air in this tank in grams?
Solution
First, we need to find the volume of the tank. The volume of a rectangular prism (which this tank is) is found by multiplying its length, width, and height.
So, the volume of the tank is 5.4 metres * 6 metres * 4.4 metres = 142.56 cubic metres.
However, the weight of air is given in grams per litre, and there are 1000 litres in a cubic metre. So, we need to convert the volume of the tank from cubic metres to litres.
142.56 cubic metres * 1000 = 142560 litres.
Finally, we multiply the volume of the tank in litres by the weight of air per litre to find the total weight of the air in the tank.
142560 litres * 1.34 g/litre = 190910.4 grams.
So, the weight of the air in the tank is 190910.4 grams.
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