Carpenter Red Seal Exam Prep · Question
A carpenter is constructing a shed roof with a 1:3 pitch. If the shed is 3.6 metres wide (span) and the overhang is 450 mm on each side, what length of rafter stock (before birdsmouth and plumb cuts) would be required, assuming no ridge board thickness adjustment yet?
A 1:3 pitch means the rise is 1/3 of the run. For a 3.6m span, the run is 1.8m. Rise = 1.8m / 3 = 0.6m. Rafter length (excluding overhang) = sqrt(1.8^2 + 0.6^2)
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Question: A carpenter is constructing a shed roof with a 1:3 pitch. If the shed is 3.6 metres wide (span) and the overhang is 450 mm on each side, what length of rafter stock (before birdsmouth and plumb cuts) would be required, assuming no ridge board thickness adjustment yet?
Answer options: ✅ 2.79 metres
- 2.34 metres
- 2.58 metres
- 2.91 metres
Correct answer: 2.79 metres
Explanation: A 1:3 pitch means the rise is 1/3 of the run. For a 3.6m span, the run is 1.8m. Rise = 1.8m / 3 = 0.6m. Rafter length (excluding overhang) = sqrt(1.8^2 + 0.6^2) = sqrt(3.24 + 0.36) = sqrt(3.6) = 1.897m. Adding 0.45m overhang gives 2.347m. The closest option is 2.34m, assuming precise cutoffs lead to the rounded value.
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