Description
The square-cube law can be stated as follows:
When an object undergoes a proportional increase in size, its new volume is proportional to the cube of the multiplier and its new surface area is proportional to the square of the multiplier.Represented mathematically:
where is the original volume, is the new volume, is the original length and is the new length. Which length is used does not matter.
where is the original surface area and is the new surface area.
For example, a cube with a side length of 1 meter has a surface area of 6 m2 and a volume of 1 m3. If the dimensions of the cube were doubled, its surface area would be increased to 24 m2 and its volume would be increased to 8 m3. This principle applies to all solids.
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