No
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No. It may change its weight if weighed at varying depths.
The mass of water is 1g per cm3
yes
Density = mass/volume = 5.4g/(9*2*6) cm3 = 5.4/108 cm3 = 0.05 g/cm3. The density of water at normal pressure is very slightly less than 1 g/cm3. The substance that you have, with a density of a twentieth of that cannot be water.
"Gram" is a unit of mass. "Cm3" is a unit of volume. So the answer depends on what substance is in the cm3 . If the cm3 is empty, then there are no grams in it. If it's full of air, then there's only a small fraction of a gram in it. If it's a cm3 of water, then there's roughly 1 gram of mass in it. If it's a cm3 of gold, then there are about 19 grams of mass in it.