A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 unit. How many 1/3 unit cubes does it take to fill the prism?
The volume of each cube = (side)^3 = (1/3)^3 = 1/27 cubic units
The number of cubes that will fill the prism =
Vol of prism 4
__________ = _____ = 4 * 27 = 108 cubes
Vol of cube (1/27)
Find the volume of the small cubes first.
(1/3)^3 = 1/27.
4 divided by 1/27 equals 4*27 which is 108 unit cubes.
~~Hypotenuisance