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Sammy has two similar boxes.  One box has side lengths that are 3 times larger than the other box.  If the larger box has a volume of 5400 inches cubed, what is the volume of the smaller box?

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 Feb 27, 2020
 #1
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say the box is a cube

larger box

 

x * x * x   = x^3  = 5400 in3

                 x= 17.54 in

 

so the smaller box is  5.84  * 5.84 *  5.84 = 200 in3

 

 

..... or   5400 /(3 *3*3)   = 200 in3

 Feb 27, 2020
edited by ElectricPavlov  Feb 27, 2020
edited by ElectricPavlov  Feb 27, 2020
 #2
avatar+523 
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Sammy has two similar boxes.  One box has side lengths that are 3 times larger than the other box.  If the larger box has a volume of 5400 inches cubed, what is the volume of the smaller box?

 

Let the larger box have these dimensions:  30 x 15 x 12 = 5400 in³

 

The volume of the smaller box is:  ( 30/3 )*( 15/3 )*( 12/3 ) = 200 in³  indecision

 Feb 27, 2020

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