$4$

$10$

A trapezoidal channel with a bottom width of $6$ m $,$ free surface width of $12$ m $,$ and flow depth of $1\mathrm{.}6$ m discharges water at a rate of $80\frac{m^3}{s}.$ The surfaces of the channel are lined with asphalt $(n=0\mathrm{.}016).$ If the maximum flow height the channel points can accommodate is $3\mathrm{.}100$ m $,$ determine the maximum flow rate through the channel.

$03$:$54$:$14$

Skipped

The maximum flow rate through the channel is $\frac{m^3}{s}.$