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Problem How many cubes with side lengths of 1/3 does it take to fill the prism?

 

 

the length of the box is 

 

1cm

 

height

 

2/3 cm

 

width

 

2 2/3

 Apr 5, 2019
 #1
avatar+99237 
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I'm assuming that side length of (1/3)  =  (1/3)cm

The volume of one cube  = (1/3)^3  =  1/27 cm^3

 

Volume of the prism (box)  =  

 

Length * Height * Width  =

 

( 1) ( 2/3) (2 2/3)  =

 

(1) (2/3) (8/3)  =

 

16/9   cm^3

 

So....the number of cubes that will fit =     Volume of Prism / Volume of one cube =

 

(16/9) / (1/27)  =

 

(16/9) * (27/1)  =

 

16 * ( 27/9) =

 

16 * 3  =

 

48 cubes

 

 

cool cool cool

 Apr 5, 2019
edited by CPhill  Apr 5, 2019

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