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How does the original volume of a rectangular prism change when the width is doubled, the length is tripled, and the height is quadrupled?

 May 14, 2017
 #1
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The equation for the volume of a rectangular prism is:

 

Volume=width×length×height

 

If we multiply the width by 2, the length by 3, and the height by 4 in this equation, we have to do the same to the other side so the equation remains true.

 

2×3×4×Volume=(2×width)×(3×length)×(4×height)

 

24×Volume=(2×width)×(3×length)×(4×height)

 

Therefore the volume will be 24 times it's original value.

 May 14, 2017
 #2
avatar+470 
+3

omg tysm

Neptune  May 14, 2017

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