A box with density \( \rho = 800 \text{ kg/m}^3 \) is floating face down on a fluid with density \( \rho _{f} = 1200 \text{ kg/m}^{3}. \) If the box has a height of \( H= 6.0 \text{ cm}, \) by what depth \( h \) is the box submerged?

The floating box is a rectangular parallelepiped.

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