A trench has a base width $($A$)$ of $43$ ft$,$ a height $($B$)$ of $9$ ft$,$ and the sides have a slope $($C$)$ of $3$ to $1.$ The trench is $235$ ft long and the soil has a swell of $22\%.$ The soil from the trench excavation is to be hauled off site. Each truck has a capacity of $16$ LCY$.$ How many trucks will be required to haul off the excavated material? Round up to the nearest whole truck.