A barge measures 10 ft (depth) by 35 ft by 120 ft and weighs 100 U.S. tons. The barge floats in fresh water (specific weight = 62.4 lb/ft3) and is evenly filled with 38,000 bushels of corn (60 lb/bushel). Express final answers to two decimal places:
a) Determine the draft (feet) of the barge full of corn.
b) How many inches of rain can fall over the entire barge full of corn before it begins to sink?
c) Determine the draft (inches) when the barge is empty of all corn and rain.