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no * * * * * Of course there are! 1 micrometre (or micron) = one thousandth of a millimetre, 1 nanometre = one millionth of a millimetre 1 picometre = one billionth of a millimetre 1 femto = one trillionth of a millimetre 1 attometre = one quadrillionth of a millimetre 1 zeptometre = one quintillionth of a millimetre 1 yoctometre = one sextillionth of a millimetre and also 1 Planck's length = 162 nonillionth a millimetre (approx)
1 millimetre is equal to exactly 1 millimetre.
A millimetre is a unit of measurement of length. A diameter is not. The question, therefore, makes no sense.
Cubic millimetre literally means a millimetre cubed. I.e. the size of a cube if each of its lengths were 1 millimetre in length. However as the formula is length by width by height (3 dimensions of a rectangular cube, whatever its called), if the dimensions are 0.5mm, 1mm and 2mm, then the formula is .5x1x2=1mm3. It is still 1mm3.
A millimetre is a unit of length. A litre is a unit of capacity. The two units are therefore incompatible.