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avatar+158 

Michelle buys a rectangular prism shaped box

 

if her rectangular pris is 2 1/2in in height,1 1/2in in width and 1 1/2 in depth

cora buys a box like the rectangular prism that is 1 in longer 1 in wider and 1 in taller than michelle's box what is the differences in volumes of the 2 boxes

A) 1in

B) 3in

C)18 1/8in

D) 26 1/4in

 Apr 20, 2014

Best Answer 

 #2
avatar+128089 
+5

V = LWH2 - LWH1=  (3.5)(2.5)(2.5) - (2.5)(1.5)(1.5)

= 21.875 - 5.625 = 16.25 in3 =   None of the above

 Apr 20, 2014
 #1
avatar+6244 
0

$$V=\dfrac 1 3 L W H$$

Michelle's box is volume

$$V_{Michelle}\dfrac 1 3 (2.5)(1.5)(1.5)=1.875in^3$$

Cora's box is volume

$$V_{Cora}=\dfrac 1 3 (3.5)(2.5)(2.5)=7.292in^3$$

$$V_{Cora}-V_{Michelle}=7.292-1.875=5.417in^3$$

which doesn't seem to correspond with any of your choices.

 Apr 20, 2014
 #2
avatar+128089 
+5
Best Answer

V = LWH2 - LWH1=  (3.5)(2.5)(2.5) - (2.5)(1.5)(1.5)

= 21.875 - 5.625 = 16.25 in3 =   None of the above

CPhill Apr 20, 2014
 #3
avatar+118587 
0

Thanks Rom and Chris,

Rom, you made a little error I believe.

They are rectangular prisms NOT rectangular pyramids so the 1/3 should not be there.

Take out the 1/3 and Rom's answer is good.  

 Apr 20, 2014
 #4
avatar+158 
0

i got it off of a 6th grade CRT packet

 Apr 20, 2014

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