Task $2$:

a$)$ A body weighs $2\mathrm{.}8$ N in air and $1\mathrm{.}9$ N when completely immersed in water of density $1000k\frac{g}{m^3}.$

Cal$-$ culate the volume of the body. Take the gravitational acceleration as $9\mathrm{.}81\frac{m}{s^2}.$

A rectangular watertight box is $550$ mm long, $410$ mm wide and $205$ mm deep. It weighs $225$ N $.$ If it floats

with its sides and ends vertical in water of density $1030k\frac{g}{m^3},$ what depth of the box will be sub$-$merged?

Take the gravitational acceleration as $9\mathrm{.}81\frac{m}{s^2}.$