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?

APatel Apr 13, 2019

#1**+1 **

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)

CPhill Apr 13, 2019

#2**-3 **

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

Hypotenuisance Apr 21, 2019