The volume of the ship must be equal to or greater than 50,000,000 cm³
According to the principle of floatation, a body will float in a liquid if it displaces a weight of liquid equal to its own weight.
Therefore, for the ship to float in water, it must displace a weight of water at least equal or greater than its own weight.
Considering the data given:
The density of steel = 8.0g/cm³
the density of water is 1.0 g/cm³
the mass of steel used for the ship = 50,000 kg
Mass of water to be displaced = 50000 kg
Mass of water to be displaced in g = 50,000,000 g
Volume of 50000000 g of water = 50,000,000 g * 1.0 g/cm³
Volume of 50000000 g of water = 50,000,000 cm³
Therefore, volume of the ship must be equal to or greater than 50,000,000 cm³
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