Help finding the number of people can stand on a wooden raft in water?

Question

Several teenagers swim toward a rectangular, wooden raft that is 2.8 m wide and 4.0 m long. If the raft is 7.2 cm thick, how many 75.0 kg teenage boys can stand on top of the raft without the raft becoming submerged? Assume the wood density is 650 kg/m3.

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Answer 1

volume of raft = .806 m^3

density of water = 1000 kg/m^3

350*.806 = 282 kg        282 / 75 kg = 3.76

3 people