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1000 x 1000 = 1,000,000cm2 (1 million) less 1000 gives a difference of 999000

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I disagree.

1000 cm2 or (1000 cm)2 is a measure of an area in 2 dimensional space whereas 1000 cm is a measure of length. According to basic principles of dimensional analysis, conversion from one to the other is not valid.

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