The soil from Problem Number $2$ is being hauled in a truck with a heaped load capacity of $10y{d}^3.$ Determine $($a$)$ the amount of in$-$place soil the truck can carry per trip, and $($b$)$ total number of truck loads required to move $400,000$yd ${?}^3$ of compacted fill. Swell Factor $27\mathrm{.}1\%$ and Shrinkage Factor $84\mathrm{.}7\%$