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A storage box has a length of 9/2 in., a width of 2 in, and a height of 3/2 in. Skylar wants to COMPLETLEY fill the box with 1/2 inch cubes. How many 1/2 inch cubes are needed o COMPLETLEY fil the box?

 

Answer Choices

A.) 108

B.) 72

C.) 54

D.) 16

 Mar 6, 2019
 #1
avatar+99519 
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The number of cubes =  Volume of box / Volume of cubes

 

Volume of box  =  (9/2) (2) (3/2)  =  54/4 in^3  = 27/2  in ^3

 

Volume of cube = (side)^3 =  (1/2)^3  =  1/8 in^3 

 

So

 

(27/2) / (1/8)  =

 

(27/2) * (8/1)  =

 

(27) (8/2)  =

 

27 * 4  =

 

108 cubes

 

 

cool cool cool

 Mar 6, 2019
edited by CPhill  Mar 6, 2019

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