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## Homework Statement

A 9 cm square wooden post (density=420kg/m

^{3}) is 1.3m long and floats in sweater (density=1029 kg/m

^{3}. How deep is the post submerged in the water? The picture shows a 9cm x 9cm cross section of the post.

## Homework Equations

F

_{b}=density of liquid x volume of liquid submerged x gravity

Fmg=density of post x volume of post x gravity

P=density x gravity x height

P=Force/area

## The Attempt at a Solution

I first found the force mg.

420 x (.09x.09x1.3) x 9.8=.103194 N

Then I found pressure

P=.103194/ (.09x.09)=12.74

I don't think this is right, and I am unsure where to next. Can anyone help me understand how I should be doing this?