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The question, as stated, cannot be answered sensibly. A cubic centimetre (cc) is a measure of volume, with dimensions [L3]. A microgram (mcg) is a measure of mass, with dimensions [M]. The two measure different things and elementary dimensional analysis teaches that you cannot convert between measures with different dimensions such as these without additional information.

As a simple mental exercise consider a mcg of air and of water. They will have very different volumes. Furthermore, the unit mcg is often used in mediaction and in such cases, it is the mass or volume of the active ingredient that is important and not the total mass or volume.

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