1A60.u1 - Scaling Blocks
Demonstrate that "multiples" of blocks create different scaling effects for surface area, volume, and mass.
Pull out the single, the 2x2, and the 3x3 set of 2"x4" blocks.
Explain how surface area and volume do not scale the same way.
In the example we provide here we show that for each cube of length a, the volume of the object becomes V = a^3 while the surface area of that same object becomes S = 6*a^2.
For example, when the length a is doubled, the surface area will increase 2^2 = 4 times, while the volume will increase 2^3 = 8 times.
For a single-celled organism or a cell of a multi-celled organism, the surface is a critical interface between the organism/cell and its environment. This is where diffusion takes place. Efficiency of a cell is restricted by the relationship between its surface area and the volume occupied by this cell.