1. A large ocean liner floating in the sea has a volume of 375 000 m² and displaces 50 000 m² of sea water. Determine the
density and mass of the ship. Explain why, despite being made
of metal, the ship is able to float.

Density of the ship :133.33 kg/m³

Mass of the ship :50,000,000 kg

Ships are able to float on water because they displace a volume that equals  their own weight

Explanation:

The formula for density is ;

Density = Mass/Volume

But the mass of  displaced fluid is give by the formula;

m=ρV where ρ is density of the fluid and V is volume of water displaced

Volume of liner= 375000 m³

Volume displaced = 50000 m³

The volume of the water displaced is equal to mass of the liner

I m³ = 1000 kg

50000 m³ = 50000*1000 =50,000,000 kg

50,000,000 kg mass of the ship

So if ;

m= 50,000,000 kg

v= 375000 m³

ρ = m/V

ρ = 50,000,000/375000

ρ = 50,000,000/375000

ρ =133.33 kg/m³

Ships are able to float on water because they displace a volume that equals  their own weight. Additionally, the air contained in the spaces of the ship inside is much less dense than density of water aiding in the floating process.

d.7.5cm is your answer