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A right rectangular prism has these dimensions: Length − Fraction 1 and 1 over 2 units Width − Fraction 1 over 2 unit Height − Fraction 3 over 4 unit How many cubes of side length Fraction 1 over 4 unit are required to completely pack the prism without any gap or overlap? 36, 45, 51, or 60

 Jan 5, 2017

Best Answer 

 #3
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Duhnununununununununununu SuperPhill!cheeky

 Jan 5, 2017
edited by MathPeacock  Jan 5, 2017

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 #1
avatar+1107 
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Geometry isn't really my thing. I am more of an algebraic expressions kind-a-guy.

 Jan 5, 2017
 #3
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Best Answer

Duhnununununununununununu SuperPhill!cheeky

MathPeacock Jan 5, 2017
edited by MathPeacock  Jan 5, 2017
 #4
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Thank you so much.

 Jan 5, 2017
 #5
avatar+129838 
+5

Volume  Prism = (1 + 1/2) (1/2) (3/4)  =  (3/2) (1/2) (3/4)  = (9/16)  units^3

 

Volume of one cube  = (1/4)^3  = 1/64 units  ^3

 

So

 

(9/16) / (1/64)  =

 

(9/16) * (64/1)  =

 

(64/16) (9/1)  =

 

4 * 9   =

 

36

 

 

 

cool cool cool

 Jan 5, 2017

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