$1020\mathrm{.}83$

$1020\mathrm{.}83$

The answer above is NOT correct.

$(1$ point$)$ A trough is $5$ meters long, $2\mathrm{.}5$ meters wide, and $1$ meters deep. The vertical cross$-$section of the trough parallel to an end is shaped like an isoceles triangle $($with height $1$ meters, and base, on top, of length $2\mathrm{.}5$ meters$).$ The trough is full of water $($density $1000k\frac{g}{m^3}).$ Find the amount of work in joules required to empty the trough by pumping the water over the top. $($Note: Use $g=9\mathrm{.}8\frac{m}{s^2}$ as the acceleration due to gravity.$)$