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Its volume would be multiplied by the cube of 2 and become 8 m 3. The original cube (1 m sides) has a surface area to volume ratio of 6:1. The larger (2 m sides) cube has a surface area to volume ratio of (24/8) 3:1. As the dimensions increase, the volume will continue to grow faster than the surface area. Thus the square–cube law.
In the Liezi, the giants of the Longbo Kingdom were shrunk over time as punishment by the heavenly emperor after their burning of the bones of the ao caused the Daiyu and Yuanjiao islands to sink, forcing billions of xian to evacuate their homes. [3]
It's straight forward, and in the article, that a surface area is a square law and the volume is cubic. The proof that it is monotonic is the derivative rate of change is linear for surface area while a square law for volume. The volume will always expand faster than the surface area. --DHeyward 04:53, 1 January 2015 (UTC)
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Because of the necessary phase change, the expander cycle is thrust limited by the square–cube law. When a bell-shaped nozzle is scaled, the nozzle surface area with which to heat the fuel increases as the square of the radius, but the volume of fuel to be heated increases as the cube of the radius.
It might make the example in the "Description" section clearer if it were explicitly noted that in the first example (the cube with side length of 1 m) the ratio of Area to Volume is 6:1 and in the second example (the cube with side length 2 m) the ration of Area to Volume is 3:1.