A piece of aluminum has a density of 2.70 g/cm^3 and a mass of 775 g. The aluminum is submerged in a container of oil of density 0.650 g/cm^3. How much oil does the metal displace

287cm^3

Explanation:

Given data

Density of aluminium= 2.7g/cm^3

mass of aluminium= 775g

The volume occupied is given as

we know that

density= mass/volume

volume= mass/density

volume= 775/2.7

volume= 287 cm^3

Now based on Archimedes principle, which states that when a body is totally or partially submerged in a fluid it experiences an upthrust which is equal to the volume of the mass displaced

Therefore, the volume of oil displaced is 287cm^3

the entire statement is true and correct.  

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measure their densities same density, same sub