SOLUTION: A bottling company manufactures a bottle that has a volume of 243 milliliters. The company wants to make a new bottle that has dimensions 3 times smaller than the original. What wi

Question 1023033: A bottling company manufactures a bottle that has a volume of 243 milliliters. The company wants to make a new bottle that has dimensions 3 times smaller than the original. What will be the new volume of the new bottle?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
To make it simple, I'll say the bottle is a cube
with volume ml3
-----------------------
Each side of this cube is:

-------------------------
Make the side 3 times smaller

--------------------
Find the volume of the new cube
with this side length

ml3 is the new volume
-----------------------------------
Another way to arrive at this is:

This is the new volume with side length
Since , I can say:

The new volume is ml3
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