Why does volume grow faster than surface area?

Volume grows faster than surface area because volume is a three-dimensional measure, while surface area is a two-dimensional measure. As the size of an object increases, the amount of space it occupies (volume) increases cubically (to the power of three), whereas the surface area increases quadratically (to the power of two). This means that for larger objects, the additional volume gained far outpaces the increase in surface area, leading to a greater volume-to-surface area ratio. This principle is particularly important in biological systems, where it affects nutrient absorption and heat dissipation.