\begin{exercice}
Mélia et Thaïs observent cette figure sur laquelle les plans $\mathcal{P}_1$ et $\mathcal{P}_2$ sont parallèles et les points $A$ et $B$ appartiennent au plan $\mathcal{P}_1$. 

Mélia affirme que la pyramide de sommet $B$ a un volume inférieur à celui de la pyramide de sommet $A$. Mais Thaïs pense que Mélia se trompe. 

Qui a raison?

\begin{center}
 \begin{tikzpicture}[general]
  \draw[color=G1, fill=G4] (0,0)--(7,0)--(8,3)--(1,3)--cycle;
  \draw[color=A1, fill=A4] (0,3.5)--(7,3.5)--(8,6.5)--(1,6.5)--cycle;
  \draw (1.5,0.3)--(3.5,0.3);
  \draw[dashed] (3.5,0.3)--(4.4,2.5)--(2.4,2.5)--(1.5,0.3);
  \draw (0.5,4.5)--(1.5,0.3);
  \draw (0.5,4.5)--(3.5,0.3);
  \draw (0.5,4.5)--(4.4,2.5);
  \draw[dashed] (0.5,4.5)--(2.4,2.5);
  \draw (6,5)--(1.5,0.3);
  \draw (6,5)--(3.5,0.3);
  \draw (6,5)[dashed]--(4.4,2.5);
  \draw (6,5)--(2.4,2.5);
  \draw (6,5) node[right]{$A$};
  \draw (0.5,4.5) node[above right]{$B$};
  \draw (7.3,6) node[draw, circle,color=A1]{$P_1$};
  \draw (7.3,2.5) node[draw, circle,color=G1]{$P_2$};
 \end{tikzpicture}

\end{center}

\end{exercice}


