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## Homework Statement

A box with a height L, and a cross sectional Area A is floating between two fluids of densities p1 and p2. Determine the mass of the box using ho, h1, h2, p1, p2, and A.

## Homework Equations

F= pVg

## The Attempt at a Solution

In the file attached I drew my free body diagram and the image of the box. Solving my FBD I get:

mg+p1(A)(ho)g=p2(A)(h2)g

Solving for m:

p2(A)(h2)-p1(A)(ho)

but with Archimedes principal the answer should be p2(A)(h2)+p1(A)(h1), so what did I do wrong/forget?

Thanks