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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?

 Apr 13, 2019
 #1
avatar+106519 
+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)

 

 

cool cool cool

 Apr 13, 2019
 #2
avatar+128 
-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

 Apr 21, 2019

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