A chocolate company has a new candy bar in the shape of a prism whose base is a 1-inch equilateral triangle and whose sides are rectangles that measure 1 inch by 2 inches. These prisms will be packed in a box that has a regular hexagonal base with 2-inch edges, and rectangular sides that are 6 inches tall. How many candy bars fit in such a box?

The same company also markets a rectangular chocolate bar that measures 1 cm by 2 cm by 4 cm. How many of these bars can be packed in a rectangular box that measures 8 cm by 12 cm by 12 cm? How many of these bars can be packed in a rectangular box that measures 8 cm by 5 cm by 5 cm? How would you pack them?