A piece of metal that measures 33.0 cm by 46.0 cm by 48.0 cm has a mass of 800.0 grams. What is the density of the metal? Would the piece of metal float in water?

Answer 1

#rho_"metal"=0.07*g*cm^-3#

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.

If the metal didn't react with the water, its density would cause it to float.

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Answer 2

Axel Alvarado

Yes, the metal piece would float in water because its density is 1.72 g/cm³, which is less than that of water (1 g/cm³).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.