Đáp án:
Giải thích các bước giải:
\[\begin{array}{l}
\frac{{{S_{AMN}}}}{{{S_{ABC}}}} = \frac{{{S_{AMN}}}}{{{S_{ANB}}}}.\frac{{{S_{ANB}}}}{{{S_{ABC}}}} = \frac{{AM}}{{AB}}.\frac{{BN}}{{BC}} = \frac{1}{4}\\
\frac{{{V_{AMNP}}}}{{{V_{ABCD}}}} = \frac{{AP}}{{AD}}.\frac{{{S_{AMN}}}}{{{S_{ABC}}}} = \frac{2}{3}.\frac{1}{4} = \frac{1}{6}\\
\end{array}\]