You construct an ocean-going barge out of 2.50×10^5 kg of iron. The shape of your barge is a rectangular bottom measuring 18.0 m x 15.0 m and having vertical sides.
A) What is the minimum height the sides must be so that your barge will float in the ocean?
B) Suppose you make the sides 75.0 % higher than the minimum necessary. What is the mass of the heaviest load you could carry in the ocean without sinking?
C) If your barge goes up the Mississippi River, which is fresh water, how much extra mass can you carry without sinking?