A tub is filled with water and a wooden cube 10 cm × 10 cm × 10 cm is placed in the water. The wooden cube is found to float on the water with a part…

A tub is filled with water and a wooden cube $\displaystyle 10$ cm × $\displaystyle 10$ cm × $\displaystyle 10$ cm is placed in the water. The wooden cube is found to float on the water with a part of it submerged in water. When a metal coin is placed on the wooden cube, the submerged part is increased by $\displaystyle 3.87$ cm . The mass of the metal coin is $\displaystyle \_\_\_\_$ gram. (Take water density as $\displaystyle 1 \mathrm{~g} / \mathrm{cm}^3$ and density of wood as $\displaystyle 0.4 \mathrm{~g} / \mathrm{cm}^3$ )