Metre.
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decimeter
10 mm = 1 cm 10 cm = 1 dm 10 dm = 1 m The length that is 100 times larger than a millimeter is known as a decimetre. It is not a commonly used unit of measure.
A meter is a measure of length. So a measure that is 1000 times larger than a metre would still be a length: it would never ever be a volume. So the question makes no sense.
The distance which is 10^-3 larger is 1.003 metres, and there is no specific name for it. The name of the distance which is 10^-3 times as large (not the same thing!) is a millimetre.
The name of the larger side of a rectangle is length