1 square meter is 1,000,000 square milimeters.
As 1 mm is 1/1000th of a meter, 1000 x 1000 = 1,000,000
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There is 1000mm in a meter, when squaring, this difference is also squared, making the difference between mm2 and m2 to be 1,000,000
It takes 1,000 millimeters to make 1 meter. So it looks like the meter is the bigger one.
Easy. 1 m has 1000 mm. So 1 square meter would equivalent to 1000 mm x 1000 mm or 1000000 square millimeter.
You simply can't convert between meters and square meters. Think of a (linear) meter as being infinitely thin.
It would be a very small room. More like a closet. Try 1 meter by 3 meter, or 1.5 meter by 2 meter both would make 3 square meters.
It takes 1,000 millimeters, end to end, to make one meter.