32. A tank, having the shape of a rectangular parallelepiped, has the property that if it is placed on any of its side walls, the area of the resulting base does not decrease compared to the given one. What is the maximum possible volume of this tank if its height is 1.5 m?
32. If the dimensions of the base are $a$ m and $b$ m, then the areas of the lateral faces are $1.5 a \mathrm{M}^{2}$ and $1.5 b \mathrm{M}^{2}$. According to the condition $1.5 a \geqslant a b$ and $1.5 b \geqslant a b$, from which $b \leqslant 1.5$ and $a \leqslant 1.5$. Therefore, the possible maximum volume of the tank is $3.375 \mathrm{M}^{3}(1.5 \cdot 1.5 \cdot 1.5=3.375)$.