A rectangular prism has a volume of 162 cubic centimeters. If the length, width, and height are reduced to 1/3 of their original size what will the new volume be?

The original volume of the given prism is

l*w*h = 162

where l = length, w = width, h = height

Reducing 1/3 of each sides,

(1/3) l * (1/3) w * (1/3) h = (1/27) 162

Thus,

The new volume is 162/27 = 6 cubic cm