1. The problem statement, all variables and given/known data A large number of people are on a sinking ship, and decide to use a large crate with an open top as a lifeboat. A physicist in the crowd has been tasked with finding how many people can board the craft before it would sink. She assumes the average person has a mass of 70kg. The crate measures 5metres long by 3metres wide by 2metres high and has a mass of 19 tonnes. How many average people can the crate safely hold before the top will drop below the surface, and water comes comes pouring in? 2. Relevant equations I'm assuming that P=F/A P=(Rho)gh (Rho)=m/v V=lbh are going to be used somehow. 3. The attempt at a solution Well, I've had a lot of problems with this question. None of my classmates, nor myself, have been taught how to do a bouyancy question, and the question above appeared in our homework. I've looked up how to do bouyancy questions on the Internet, with some success. I don't really understand what I'm doing, but this is what I have done so far, but I'm not sure how/where to continue. Volume of the crate = 30m^3, (as 5*3*2). Weight of the crate = 186200N, (as 19000kg[19tonnes]*9.8) Pressure on the bottom of the crate = 12413.33... (as 186200N/15m^2) This is as far as I've got, and I don't know if I am doing this correctly, and/or where to continue.