[tex] \bf \textit{volume of a rectangular prism}\\\\
V=Lwh~~
\begin{cases}
L=length\\
w=width\\
h=height\\[-0.5em]
\hrulefill\\
w=36\\
L=83\\
h=44
\end{cases}\implies V=(83)(36)(44)\implies \stackrel{\textit{old volume}}{\boxed{V=131472}}
\\\\[-0.35em]
\rule{34em}{0.25pt} [/tex]
[tex] \bf V=Lwh~~
\begin{cases}
w=\stackrel{halved}{18}\\
L=\stackrel{doubled}{166}\\
h=\stackrel{tripled}{132}
\end{cases}\implies V=(166)(18)(132)\implies \stackrel{\textit{new volume}}{\boxed{V=394416}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill \cfrac{\stackrel{\textit{new volume}}{394416}}{\stackrel{\textit{old volume}}{131472}}\implies \stackrel{\textit{simplified}}{\cfrac{3}{1}}~\hfill[/tex]
