Answer:
8 cm³
Explanation:
You want the volume of Prism B similar to Prism A, where the volume of Prism A is 216 cm³, its height is 9 cm, and the height of Prism B is 3 cm.
Volume ratio
The ratio of volumes is the cube of the ratio of heights:
(Prism B volume)/(Prism A volume) = ((Prism B height)/(Prism A height))³
(Prism B volume)/(216 cm³) = ((3 cm/(9 cm))³ = 1/27
Prism B volume = (216 cm³)·(1/27) = 8 cm³
The volume is 8 cubic centimeters.