Yes, life jackets are designed to save life regardless of how deep the water is. Lifejackets will float well in any depth of water.
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It would depend on the weight and material of the shell (cloth part) - probably less than 2 cubic inches would float the shell. The amount needed to keep a person afloat depends on the weight of the person and the flotation material - most jackets are made from closed cell ethelyne-vinyl-acetate EVA.
actually since there is air in the jacket it will stay up and there is alot of air and that is how it holds you up also
lol i HAD 2 no dat 4 science
Life jackets help you float because the density of the jacket and you altogether is less than your density alone, making you float.
Hope that helps ! :]