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In the densest molecular clouds, the average density is approximately 300 atoms/cm3. If a cube of molecular cloud gas with this density contained 100 M of material (the amount needed to make a 1 M star), what would be the length of a side of the cube in units of AU? For reference, the mass of the Sun is 2 * 1030 kg, the mass of a hydrogen atom is 1.7 *10 - 27 kg, and 1 AU = 1.5 * 1011 m.
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