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Which word is correct?

You see how think the slice of bread is. The ham is half that in thinness/width which is pretty thick.

Thank you

Comments  

The ham is half that in thickness. "Thinness" is not used in simply declaring that dimension, and "width" is the noun for "wide", which would tell us how much ham would be hanging out of the sandwich on the sides or how much bread would be showing around the ham.

I can't tell whether you meant to type "thin" or "thick" where you typed "think".