Answer:
M = ρ V to calculate the volume of the wood displaced
W = M g where M is the mass of the wood
W = ρ V g where W is the weight of the wood
ρ = .6 g/cm^3 = .6 (g / cm^3 */1000 g /kg / (1.00E-6 cm^3 / m^3)
ρ = 600 kg / m^3 density of wood
V = 3.06 / (600 * 9.80) m^3 = 5.20E-4 m^3 volume of wood
.9 g/cm^3 = .9 * 1/1000 * 10^6 = 900 kg / m^3 density of liquid
Vw = 3.06 / (900 * 9.80) = 3.47E-4 m^3 volume of liquid displaced
Weight of liquid displaced = Weight of wood
Note density of wood is 2/3 that of liquid so 2/3 the volume of the wood should be displaced