1,000 inches3
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If you have the length of a side, you cube it, to get the volume. For instance, if the length of the side is 10 cm, the volume is 10 cm x 10 cm x 10 cm = 1000 cubic cm.
With 10 cm side lengths, this cube has a volume of 1000 cm3
10 * 10 * 10 = 1000 cubic meters
Find the cube root of the volume. Volume of a cube = length of side^3 therefore length of side = volume^(1/3)
Sample A: cube of side 2, volume 2 x 2 x 2 = 8 Sample B: cube of side 10, volume 10 x 10 x 10 = 1000 Volume has increased by a factor of 125 ie 53 which is what we would expect.