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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.
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Size alteration was also a common motif of many films directed by Bert I. Gordon, including Beginning of the End, The Amazing Colossal Man, Attack of the Puppet People, Village of the Giants, and an adaptation of H. G. Wells' The Food of the Gods.
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The book is a combination of two shorter pieces, the novellas "Double Jeopardy" and "The Square Cube Law," originally published in the magazine Thrilling Wonder Stories in the issues for April, 1952 and June, 1952, respectively. [1] [2] [3]
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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 square–cube law concerns similar solids.
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