\textbf{177-} A piece of metal with density $2.7\ \dfrac{\text{g}}{\text{cm}^3}$ is completely submerged in a container full of alcohol with density $0.8\ \dfrac{\text{g}}{\text{cm}^3}$, and $160\ \text{g}$ of alcohol overflows. How many grams of metal is the piece?
\hfill (1) $540$ \hfill (2) $450$ \hfill (3) $432$ \hfill (4) $200$