The cubit is an ancient unit. Its length equals six palms. $($A palm varies from $2\mathrm{.}5$ to $3\mathrm{.}5$ inches depending on the individual.$)$ We are told Noah's ark was $300$ cubits long, $50$ cubits wide, and $30$ cubits high. Estimate the volume of the ark $($in cubic feet$).$ Assume the ark has a shoe$-$box shape and that $1$ palm $=2\mathrm{.}50$ inch