The length of a rectangular prism is 8 cm, the width is half of the length, and the height is equal to the difference between length and width. Volume=

The length of the rectangular prism is 8 cm.

The width is half of the length, so it is 8/2 = 4 cm.

The height is equal to the difference between the length and width, so it is 8 - 4 = 4 cm.

Therefore, the volume of the rectangular prism is given by:

Volume = length x width x height
Volume = 8 cm x 4 cm x 4 cm
Volume = 128 cm^3

Therefore, the volume of the rectangular prism is 128 cubic centimeters.