Pixel to cm2 in photoshop

friends, can anybody tell me how to convert pixels to cm2? for example, let's say that i have an area of 100 pixels. the square root of the pixels is 10 and the resolution is 10 pixels/cm. thus the area in cm would be 1 cm squared, correct? unfortunately, this does not compute correctly in photoshop. as in the number that i get never corresponds to the actual dimensions measured in the image. any ideas on what i'm missing here?

You are missing resolution!
1" = resolution.
1cm = resolution/2.54

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