92. Cut a rectangular parallelepiped with side ratios $8: 8: 27$ into four parts, from which a cube can be assembled.
92. The given parallelepiped is cut into two equal stepped parts, as shown in Fig. 165, $a$ (the height of the step is 9, and the width is 4). From these parts, we form a new
![](https://cdn.mathpix.com/cropped/2024_05_21_d3653343768e91d6de9ag-191.jpg?height=1072&width=990&top_left_y=346&top_left_x=178)

Fig. 165.

parallelepiped with the ratio of sides 12:8:18 (Fig. 165, b). This parallelepiped is then cut into stepped bodies, as shown in Fig. 165, c (the height of the step is 6, and the width is 4). From such parts, we form a cube with a side of 12 (Fig. 165, d). In Fig. 165, $\partial$ the four parts into which the original parallelepiped splits during such cutting are shown separately.