What is the mass of a floating block of wood in oil and water?

[laurenh19]

i have a physics problem about buoyancy and could really use some help!
a cubical block of wood 10cm on a side, floats at the interface between oil and water with the lower surface 2cm below the interface. the density of oil is 0.6 g/cm^3 and the density of water is 1.00g/cm^3. what is the mass of the block?
it also has a picture that shows that the container is filled with 10cm of oil on top of 10 cm of water.


force=(density)(volume)(gravity)


i have no idea where to even begin!

 

[Prosthetic Head]

If half the volume of the block was below the boundary (5cm below) the block would have a density half way between that of oil and water (i.e 0.8 g/cm^3). From the density you could easily calculate the mass, try using the same argument for the numbers in your question.

 

[laurenh19]

i'm confused on why they would say that the container is 10cm full with oil and 10 cm full with water...do i have to add that into my calculations somewhere?

so far I've come up with

mass=(0.6g/cm³)(8cm)+(1.00g/cm³)(2cm)