Volume of value V = 0.5333 [tex]m^{3}[/tex] is below the water line .
What is Archimedes principal ?
Archimedes' principle states that a body immersed in a fluid is subjected to an upwards force equal to the weight of the displaced fluid.
F(b) = rho*g*V
F(b) = buoyant force
rho = fluid density
g = acceleration due to gravity
V = fluid volume
given
density of raft = 373 kg/[tex]m^{3}[/tex]
volume of raft = 1.43 [tex]m^{3}[/tex]
since, density = mass / volume
mass of raft = density * volume
= 373 * 1.43 = 533.3 kg
using Archimedes principal
Force = density of liquid * volume of liquid displaced * acceleration due to gravity
mg = 1000 * V * 9.8
533.3 * 9.8 = 1000 * V * 9.8
V = 0.5333 [tex]m^{3}[/tex]
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