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the ratio of surface area to volume of an object is inversely proportional.
that is to say, when you make the object much larger, the amount of surface area to volume goes down.
when you make the object smaller, the amount of surface area compared to the amount of volume goes down.
consider a cube with equal sides of 2. The volume is 2x2x2 = 8. The surface area of each side would be 2x2 = 4. Times the 6 sides ... 4*6=24.
So the surface area to volume ratio would be 24 to 8, or 24/8, or 3
now make the cube smaller with equal sides of 1. Volume is 1*1*1 = 1
Surface area is 1*1 per side = 1, * 6 sides = 6.
Surface area to volume ratio is 6 to 1, or 6/1, or 6.
you can work it the other way too and see i'm correct.
so if you take a lumpy piece of chalk and grind it into a small powder, you have taken a larger single object and made it into countless incredibly smaller objects.
since you're volume is unchanged, the amount of total surface area must be much greater in the powder.
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