Remember that air is a fluid… If the container was full of water, and the insect was a fish… would it not add weight? If that seems difficult to imagine, scale it up. Replace the container with a large swimming pool, and the fish with a with a whale… Just as a fish or whale seem to be “floating” in water, an insect seems to “float” on air… But really they aren’t “floating” at all, they are supported by the water or air itself, which is no different than when you are sitting on a stool… If you pick your feet up and don’t touch the ground it doesn’t mean you don’t weigh anything… It just means all your weight has been transferred to the legs of the stool.
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