Scale reading: lesson 4 of 6

Find the scale of a drawing

The scale note is missing. Work it out from the dimension and the measured length. Get 10 right to finish.

Done 0 of 10
39'-0"measures 4 7/8 in on the sheetSCALE: ?

This wall is dimensioned 39'-0" and measures 4 7/8 in on the sheet. What is the scale?

How to work it out

Sometimes the scale note is missing, cut off a copy, or you just want to check it. One line with a written dimension is enough.

Feet and inches

Divide the real length in feet by the paper length in inches. That gives feet per inch. 4 feet per inch is 1/4" = 1'-0", 2 feet per inch is 1/2" = 1'-0", 8 feet per inch is 1/8" = 1'-0".

12'-0"measures 3 in on the sheetSCALE: ?
12 ft over 3 in is 4 ft per inch, so the scale is 1/4" = 1'-0".

Metric

Divide the written dimension in mm by the measured length in mm. The answer is the scale number.

4500measures 45 mm on the sheetSCALE: ?
4500 mm over 45 mm is 100, so the scale is 1:100.

Common mistakes

  • Dividing the wrong way round. The real length is always the bigger number.
  • Forgetting to turn feet and inches into feet first: 14'-6" is 14.5 ft.
  • Trusting the result on a copy of unknown size. Check a second dimension.

Questions

How do I find the scale of a drawing with no scale note?
Find a line with a written dimension, measure it on the sheet, and divide the real length by the paper length. In metric, 3600 mm over 72 mm gives 50, so the scale is 1:50.
What if the answer is not a standard scale?
Then the copy has probably been resized, or the line is not drawn to scale. Check against a second dimensioned line and look for a graphic scale bar before you trust any measurement.

Explained in our own words and checked against trade school textbooks. Metric scales follow the ISO 5455 series.