A rectangular barge $18$ft wide by $46$ft long by$9$ft deep floats empty with a draft of $4$ft in the canallock $28$ft wide by $56$ft long and water depth $7$ftwhen empty barge is present.a$.$ What is the weight of the barge?b$.$ If $170,000$lA rectangular barge $18ft$ wide by $46ft$ long by

$9ft$ deep floats empty with a draft of $4ft$ in the canal

lock $28ft$ wide by $56ft$ long and water depth $7ft$

when empty barge is present.

a$.$ What is the weight of the barge?

b$.$ If $170,000lbs$ of steel is loaded on the

barge, what is the new draft of the barge?

c$.$ What is the water depth in the lock?bs of steel is loaded on thebarge, what is the new draft of the barge?c$.$ What is the water depth in the lock?