When designing unlined triangular channels for irrigated maize fields, an entry$-$level civil engineer suggested the following design considerations: The canal should be a clean excavated earth channel made of coarse sand $($loose$)$ with gentle side slopes, the bottom channel slope angle needs to be $0\mathrm{.}30$o $,$ and the flow must be uniform. Indicate through calculations if the proposed channel can convey $1\mathrm{.}50$ m$3/$s of water without being eroded