A right rectangular prism $($box$)$ with dimensions w $=1\mathrm{.}5$m$,$ l $=0\mathrm{.}75$m$,$ and mass m $=10\mathrm{.}0$kg$.$

a$)$ what density should the cube have in order for it to float with $35\%$ of its volume above the water

line? $[6$pt$.]$

b$)$ What should the height of the box be such that it floats with $35\%$ of its volume above the water

line? $[6$pt$.]$