If you look at it from a Draftsman's perspective, we all use ANSI Standards. Here is information from an ANSI request, "An engineer's scale is a tool for measuring distances and transferring measurements at a fixed ratio of length. ... Referred to as 1:10, 1:20, 1:30,1:40, 1:50 or 1:60 scale. Typically in civil engineering applications, 1:10 (1″=10′)is used exclusively for detail drawings. 1:20 and 1:40 scales are used for working plans".
[FONT=Roboto, arial, sans-serif]From a Design Engineer's standpoint, the Model or what you are drawing is never Scaled to fit paper. You make your Drawings or Models to size (i.e 1:1 or 1"=1") and scale at the Printer or Plotter to fit the 1:1 Drawing to the paper. Modern Drafting and Modeling Software most often has the Scale displayed automatically when Printing / Plotting. ANSI gives Standards for Drawing sizes as in A (8 1/2"x11") B (11"x17") C (18"x24) D (24"x36") on up. The preference is to print at 1:1 so that a person making something from your drawing can place the part on the drawing and everything lines up. That's a little hard to do for Architects so pretty much everything is Scaled to fit the Paper it is Plotted on.
A problem crops up when a PDF of a C size drawing is printed on a regular Printer at 8 1/2" x 11". If the scale that is from the original Drawing is displayed for "C" Paper but printed on A paper, the Scale will be wrong. It will still be proportional so as others have said, find something that is standard and you can calculate a Multiplier or a Divider if you are going to measure the drawing then use the measurement to make or construct something. If the measurement were correctly included for the "C" size Paper, they will be accurate regardless what the paper size is. By that I mean that if the drawing shows a placement of 4ft to the left of a doorway and 5 ft up from the floor; that won't change regardless of what paper size is used for the Drawing.
Hope that helps,
JimO
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