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  2. Square–cube law - Wikipedia

    en.wikipedia.org/wiki/Squarecube_law

    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 squarecube law.

  3. On Being the Right Size - Wikipedia

    en.wikipedia.org/wiki/On_Being_the_Right_Size

    "On Being the Right Size" is a 1926 essay by J. B. S. Haldane which discusses proportions in the animal world and the essential link between the size of an animal and these systems an animal has for life. [1]

  4. Mark Beaufoy - Wikipedia

    en.wikipedia.org/wiki/Mark_Beaufoy

    This volume challenged the existing orthodoxy that the resistance to motion of a vessel was in proportion to her displacement. Chapman had challenged this earlier (1775), but Beaufoy's work was taken up by Isambard Kingdom Brunel as the "square-cube" law. Simply put, if a vessel is doubled in size the resistance to motion quadruples, but the ...

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  6. Similarity (geometry) - Wikipedia

    en.wikipedia.org/wiki/Similarity_(geometry)

    The ratio between the volumes of similar figures is equal to the cube of the ratio of corresponding lengths of those figures (for example, when the edge of a cube or the radius of a sphere is multiplied by three, its volume is multiplied by 27 — i.e. by three cubed). Galileo's squarecube law concerns similar solids.

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  8. Wikipedia:Reference desk/Archives/Science/2015 January 1

    en.wikipedia.org/wiki/Wikipedia:Reference_desk/...

    I noticed that in the wikipedia entry for this law (Square-cube law), no proof of the law is given. I would like a proof that the ratio of the areas and volumes of 2 similar figures is the square and cube of their scale factor respectively. Thanks. 175.156.52.140 00:06, 1 January 2015 (UTC) I think you can just prove that visually.

  9. Economies of scale - Wikipedia

    en.wikipedia.org/wiki/Economies_of_scale

    Some of the economies of scale recognized in engineering have a physical basis, such as the squarecube law, by which the surface of a vessel increases by the square of the dimensions while the volume increases by the cube. This law has a direct effect on the capital cost of such things as buildings, factories, pipelines, ships and airplanes. [b]