Figure $($a$)$ below shows a solid cube hanging from a spring scale, with the scale measuring $5\mathrm{.}50$ N $.$ In figure $($b$),$ the suspended cube is submerged in water, and the scale now reads $3\mathrm{.}32$ N $.$ What is the density $($in $\backslash (\backslash$mathrm$\{$kg$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash ))$ of the cube? $($Hint: the free$-$body diagram to the right of figure $($b$)$ shows the forces acting on the cube, with $\backslash (\backslash$overrightarrow$\{\backslash$mathbf$\{$B$\}\}\backslash )$ and $\backslash (\backslash$overrightarrow$\{\backslash$mathbf$\{$T$\}\}\backslash )$ pointing up and $\backslash ($ M $\backslash$overrightarrow$\{\backslash$boldsymbol$\{$g$\}\}\backslash )$ pointing down.$)$