sábado, 11 de agosto de 2012

Lei quadrado-cubo


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:
v_2=v_1\left(\frac{\ell_2}{\ell_1}\right)^3
where v_1 is the original volume, v_2 is the new volume, \ell_1 is the original length and \ell_2 is the new length. Which length is used does not matter.
A_2=A_1\left(\frac{\ell_2}{\ell_1}\right)^2
where A_1 is the original surface area and A_2 is the new surface area.

_______________________________________________________________________