English Dictionary

square-cube law

名詞

The mathematical principle that, as a shape grows in size, its volume grows faster than its surface area. Specifically, when an object undergoes a proportional increase in size, its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier.

日本語の意味

形状が大きくなるにつれて、体積が表面積よりも急速に増加する数学的原理。 / 物体が比例的に拡大される場合、新しい表面積は拡大倍率の二乗に、体積は拡大倍率の三乗に比例するという法則。

Engineers must consider the square-cube law when scaling up a prototype to ensure structural integrity and efficient cooling.

技術者は、プロトタイプを拡大する際に、物体の大きさを比例的に増やすと表面積は倍率の二乗に、体積は倍率の三乗に比例するという数学的原理を考慮して、構造の安全性と効率的な冷却を確保しなければならない。

意味（1）

The mathematical principle that, as a shape grows in size, its volume grows faster than its surface area. Specifically, when an object undergoes a proportional increase in size, its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier.

The square-cube law helps to explain why large mammals like elephants have a harder time cooling themselves than smaller ones like mice.

the square-cube law （ canonical ）