When reviewing a detail drawing scaled at 1/2" = 1'-0", what actual dimension does a line measuring 3 inches on the drawing represent?
Correct Answer
C) 6 feet
At a scale of 1/2" = 1'-0", each 1/2 inch on the drawing equals 1 foot in reality. Therefore, 3 inches on the drawing equals 6 feet actual dimension (3 ÷ 0.5 = 6).
Why This Is the Correct Answer
At a scale of 1/2" = 1'-0", every half-inch on the drawing represents one foot in actual dimension. To find what 3 inches represents, we divide 3 inches by 0.5 inches to get 6 scale units. Since each scale unit equals 1 foot, the actual dimension is 6 feet. This is a direct proportion calculation where the drawing measurement is converted using the given scale ratio.
Why the Other Options Are Wrong
Option A: 1.5 feet
This assumes a 1:1 ratio where 3 inches on paper equals 3 feet actual, but ignores the 1/2" scale factor completely.
Option B: 18 inches
This treats the measurement as if no scaling exists, converting 3 inches to 18 inches (1.5 feet) without applying the scale ratio.
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