What is the difference between 3 square metres and 3 metre square ?
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According to the last paragraph of Section 5.2 there is no difference between 3 square meters and 3 meters squared. They both refer to an area, which might be a square, 1.732 m on a side, a 1 m x 3 m rectangle, etc. If the “d” is omitted, 3 meters square may or may not be a square 3 m on a side.
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The phrase 3 meter square usually refers to a square with sides 3 meters in length. The area of such a square would be 9 square meters.
Three square meters is a quantity of area; it is the area of a square with sides of approximately 1.732 m, or a rectangle with a width of 3 m and height of 1 m.
The phrase a 3 square meter is not grammatically correct, because it’s missing a noun. You could say a 3-square-meter closet, for example. The hyphens are used in this phrase when you spell out the words square meter, because 3-square-meter is an adjective phrase. But if you abbreviate it to a 3 m² closet you would typically not use a hyphen—most style guides say never to use a hyphen between a numeral and a unit abbreviation or symbol.
I suppose you could also refer to a 3-square meter, meaning a meter (measuring instrument) having three squares, but that doesn’t actually make sense. In British English, the words metre (unit of length) and meter (measuring instrument) are spelled differently, but in American English they are spelled the same.
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