A foot is approx. 1/3 of a meter. Why isn’t a sq ft 1/3rd of a sq meter?

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A foot is 0,30m and a sq ft is 0,09m. I know some will say because 0,3 times 0,3 is 0,09 but that wouldn’t explain the break of logic as I perceive it.

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Anonymous 0 Comments

>I know some will say because 0,3 times 0,3 is 0,09 but that wouldn’t explain the break of logic as I perceive it.

But that is the explanation. If you split the meter into feet you split is approximately 3 equal parts. You should use 0.333… as 1/3, not 0.3 and 0.333 x 0.333 =0.1111. that is is the same as 1/(3 x 3) =1/9

A square is an area unit, not a distance unit so you need to do it alone on both axes of it. an area is a 2D unit so you need to do the same along both axes. Take a square that has a 1-meter side and take tow sides and divide them into 3 parts. Extend the point you split in and you get 9 squares

Look at [this image](https://2.bp.blogspot.com/_PnLYRqe0k9g/SrZVFIEdT8I/AAAAAAAAANA/Tn-7OIm1U1g/s320/3×3-Square-Grid.png) consider you make the large square with 1-meter sides and then smaller with 1 feet side, you can need to put rows in 3 columns to cover the square meter so 3×3 = 9 squares so it is 1/9

Try it practically by cutting paper and have one square with where the side is 1/3 of a larger square and cut enough of them to cover the larger square,

If you compare cubic feet to cubic meters you can fit 3 cubes in each direction and you need 27 cubes so 1 cubic foot is approximately 1/27 =0.037 cubic meters.

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