A $412$ m long canal allows for small boats to navigate around a series of rapids on a river. The canal has a rectangular cross$-$section with a width of $7\mathrm{.}63$ m and a height of $4$ m$.$ The longitudinal grade of the canal is $2\mathrm{.}01\%$ and its Manning n coefficient is $0\mathrm{.}014.$

When the water depth in the canal is $2\mathrm{.}18$ m$,$ what is the volumetric flow rate in the canal? Provide your answer in units of m$3/$s to two decimal places, but do not include the unit in your answer.