If a ship has a mass of 10 million kilograms,what volume of fresh water must it displace in order to float? The density of water is 1000 kg/m³. A)10¹⁰ m³ B)10¹² m³ C)10⁴ m³ D)10⁷ m³ E)10⁸ m³

Question

Quizplus · Accepted Answer

The mass of the ship is given as 10 million kilograms. In order for the ship to float, it must displace an equal mass of water.

Let x be the volume of fresh water the ship must displace in order to float. Then, we can use the formula for density:

density = mass / volume

The density of water is given as 1000 kg/m^3. Therefore, we can write:

1000 = 10,000,000 / x

Solving for x, we get:

x = 10,000,000 / 1000 = 10,000 m^3

Therefore, the ship must displace 10,000 cubic meters of fresh water in order to float. The closest answer choice is C, 10,000 m^3, so the correct answer is C.

If a Ship Has a Mass of 10 Million Kilograms,what