SOLUTION: A cube has a volume of 27 cubic metres. If each side is doubled in length, what will its new volume be in cubic metres?
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Question 235006: A cube has a volume of 27 cubic metres. If each side is doubled in length, what will its new volume be in cubic metres?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let's look at this problem in more general terms. Let's say we have a cube that measures 
on each edge. Then the volume of that cube would be 
. Let's double the size of each edge, so now we have 
on each edge and the volume must be ^3\ =\ 8x^3)
. That is 8 times the size of the original cube. So now we know that if you double the length of each edge of any cube, you end up with a cube that is 8 times greater in volume than the original cube.
John
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