A native speaker would find 2. unnatural. Anyone who has measured anything would assume that 1.
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AvangiA native speaker would find 2. unnatural. Anyone who has measured anything would assume that 1. refers to measuring the plates one-at-a-time.
If we wish to indicate measuring a pile of plates, we would say so, and would probably call it "height" rather than "thickness."
Number three is fine.
In both cases, you could optionally use the sin