Calculating Buoyant Force: Volume of a Raft Floating on Water

[imn0tthatgrrl]

What is the volume of a raft floating on water with a surface area of 8.2 m^2 and density of 700 kg/m^2. 75 cm of the raft is above the water. The density of the water is 1000 kg/m^2.



ive tried B = pvg and m = pv and tried solving but nothing is working because i can't find the unknown height that is submerged in the water.

my other attempt was v = 8.2(.75 + x) but that really didnt get me anywhere

 

[Delphi51]

Figure out the mass of the raft (you are given its density and size).
The raft will displace that same mass of water, so you can figure out the volume of water displaced and from there get the depth of the raft in the water.