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Suppose we have a cube of 1.00 cm length...

Suppose we have a cube of `1.00 cm` length. It is cut in all three directions, so as to produce eight cubes, each `0.50 cm` on edge length. Then suppose these `0.50` cm cubes are each subdivided into eight cubes `0.25` cm on edge length, and so on. How many of these successive subdivisions are required before the cubes are reduced in size to colloidal dimensions of `100 nm`.

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