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The length of each side of a cube increases by a ratio of (1/3). What is the ratio of the new volume to the old volume?
Is the new volume more than twice the old volume?
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Each side is increased by (1/3), so each is multiplied by (4/3). The volume of a cube is
There are three factors of the side length, and each is multiplied by (4/3), so this factor is cubed
This final fraction is ratio of the two volumes:
The volume more than doubles.
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