Question

When an object floats in water, it displaces a volume of water that has a weight equal to the weight of the object. If a ship has a weight of 4247 tons, how many cubic feet of seawater will it displace? Seawater has a density of 1.025 g·cm-3; 1 ton = 2000 lb. (Enter your answer in scientific notation.)

Answer 1

The amount of seawater that will be displaced would be 1.3274 x $10^5$  $ft^3$

Density and volume

Density = mass/volume.

Since a floating object displaces its own weight, a 4247 tons ship will also displace the same amount of water.

4247 tons of seawater = 3.8528 x $10^9$ g

volume of 3.8528 x $10^9$ g seawater = mass/density = 3.8528 x $10^9$ g/1.025 = 3758829268.29 cubic centimeter.

3758829268.29 $cm^3$ = 132741.80 $ft^3$ or 1.3274 x $10^5$  $ft^3$

More on density can be found here: https://brainly.com/question/15164682

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