Consider the following block of feta cheese with the dimensions
$6~\text{cm} \times 10~\text{cm} \times 4~\text{cm}$ as shown in the rectangular cuboid below:

\begin{center}
\includegraphics[width=5cm]{S5P6/2024_June/2024_06_S5P6_EEB1_FR_TestB_ExoB5_IMG1.jpg}\includegraphics[width=9.4cm]{S5P6/2024_June/2024_06_S5P6_EEB1_FR_TestB_ExoB5_IMG2.jpg}
\end{center}

To decorate a salad, the cheese is cut in half diagonally from $\mathrm{AC}$
vertically downwards.

\begin{enumerate}
    \item \nbPointsEnumi{2}\textbf{Show} that the length of the cut
  $\left| \mathrm{AC} \right|$ accurate to two decimal places is
  $11.66$~cm.

    \item \nbPointsEnumi{2}\textbf{Determine} the length of the diagonal
  $\left| \mathrm{AG} \right|$ accurate to two decimal places.
\end{enumerate}

When the cheese is cut, 0.5\% of the volume is lost on the knife.

\begin{enumerate}[resume]
    \item \nbPointsEnumi{3}\textbf{Calculate} the volume of the cheese after the cut.
\end{enumerate}
