A rectangular barge, 5m long and 2m wide, floats in fresh water. Suppose that a 400kg crate of auto parts is loaded onto the barge. Show that the...

A rectangular barge, 5m long and 2m wide, floats in fresh water. Suppose that a 400kg crate of auto parts is loaded onto the barge. Show that the barge floats 4 cm deeper. Then suppose that the barge can be pushed only 15cm deeper into the water before the water overflows to sink it. Show that it could carry three, but not four, 400kg crates.