A piece of cork having a uniform triangular cross section and length of $1\mathrm{.}2$m is shown in the diagram. The specific weight of cork is $2\mathrm{.}36$kN$/$m$^3.$ To what depth will it sink in turpentine which has a density of $870$kg$/$m$^3,$ if placed in the orientation shown $($ tip of triangle facing into the turpentine $).$ The given answer is $0\mathrm{.}158$m but how do you arrive at this figure.