On the TV show Top Gear's Africa special this season, the three hosts decided to build a raft out of wood ( \(\rho =832 kg/m^{3}\)) to float their cars across a river one at a time. The most massive car has a mass of 1630.4kg (the BMW). If the raft was just wide enough and just long enough to fit the car and the three hosts (masses 99.8kg, 90.7 kg, and 72.6 kg) it had to be 5.54m long and 3.3m wide. How think did the raft need to be?