SOLUTION: A cube with a volume of 64 cubic meters is scaled by a factor of 5. What is the volume of the modified cube in cubic meters? 256 Try Again

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Question 1046909: A cube with a volume of 64 cubic meters is scaled by a factor of 5. What is the volume of the modified cube in cubic meters?

256
Try Again
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
Scaled, how?

x, length of edge of original cube.

x%5E3=64, for volume;
x=64%5E%281%2F3%29
x=%28%282%5E3%29%5E2%29%5E%281%2F3%29
x=2%5E%283%2A2%2A%281%2F3%29%29
x=2%5E2
highlight%28x=4%29-----edge length of original cube


Modified cube, if scale factor 5 is applied to LINEAR measure, makes volume of this new cube, highlight%28%285%2A4%29%5E3%29=20%5E3=highlight%288000%2AcubicMeters%29.