An auditorium measures $40\mathrm{.}0$ m x $20\mathrm{.}0$ m x $12\mathrm{.}0$ m$.$ The density of the air is $1\mathrm{.}20$ kg$/$m$3.$ What are $($a$)$ The volume of the room in cubic feet and $[3\mathrm{.}39$ x $105$ ft$3]($b$)$ The weight of thr air in the room in pounds $[$