The length of the parallelepiped rectangle is 48 cm, the width is 5/8 and the height is 2/3 of the width.

First, find the width of the rectangular parallelepiped.

To do this, we multiply the known length by the given part.

Will be:

48 * 5/8 = 6 * 5 = 30 cm.

Since the height is 2/3 of the width, to determine it, multiply 30 cm by this part.

We get:

30 * 2/3 = 10 * 2 = 20 cm.

To find the volume of a rectangular parallelepiped, you need to multiply all the sides of the figure with each other.

As a result, we get:

48 * 30 * 20 = 1440 * 20 = 28800 cm3

Answer: The volume of the parallelepiped is 28800 cm3.