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By definition, $rho_"metal"="mass of metal"/"volume of metal"$

$=(800*g)/(33.0*cmxx46.0*cmxx48.0*cm)=0.0659*g*cm^-3$

And this is an IMPROBABLY undense metal. The LEAST dense metal, lithium, is approx. $0.5*g*cm^-3$...(at any rate this metal reacts with water)...the question is unreasonable and should not have been proposed.

Given the , the metal would float in water (if it didn't react with it!).

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