Surface Area to Volume Ratio. Principles of Physics. Volume. Volume the amount of space taken up by matter is measured in m 3 Objects can have the same volume but different shapes. Surface Area. Surface Area the exposed size of an object is measured in m 2
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Principles of Physics
Objects can have the same volume but different shapes
Example: The surface area of a cube is equal to the sum of the areas of each of its sides.
6,000,000,000 m2 = 1,482,632 acres
60,000 m2 = 14.8 acres
On a macro scale, the properties remain the same even if the size decreases
On a nano scale, the properties change
For a nano sample: more atoms are at the surface because more of the sample is surface.
For a macro sample: Just as many atoms can be inside as are on the surface
A steel nail? Steel wool?
Sugar cubes? Powered sugar?
The more surface area a sample has the more of it that is available to change
As gold goes from a bar
the color remains the same
As we hit the nanoscale, gold particles change in color depending on size