A rectangular block (density $=600 \mathrm{~kg} \cdot \mathrm{~m}^{-3}$ ) with base area of $0.06 \mathrm{~m}^{2}$ and height $15$ cm is partially submerged in water (density $=1000 \mathrm{~kg} \cdot \mathrm{~m}^{-3}$), as shown in the figure. Assume acceleration due to gravity as $10 \mathrm{~m}. \mathrm{s}^{-2}$. The submerged depth, $h$ (in $\mathrm{m}$) of the block in the water is $\_\_\_\_$. (rounded off to two decimal places)
