Roofs · Case studies

Case study: a gable roof with a 30° pitch

Calculate the true roof surface from a 9 × 6 m horizontal projection and a uniform 30-degree pitch.

Uniform pitch: 30°
Original schematic for this example; proportions are illustrative, not construction drawings.
In short

A 54 m² horizontal plan becomes about 62.35 m² of sloped roof area at a uniform 30° pitch.

Assumptions

We model a simple symmetrical gable roof with two equal 30° pitches above a 9 × 6 m rectangle, without additional eaves. This is a geometry exercise, not a structural design.

Horizontal projection

9 × 6 = 54 m² viewed from above.

Pitch correction

cos(30°) ≈ 0.866025. Combined sloped surface: 54 ÷ 0.866025 ≈ 62.35 m².

Material allowance

With a hypothetical 12% allowance, the equivalent material area is 62.35 × 1.12 ≈ 69.83 m². Real tile, sheet or membrane quantities depend on overlaps, useful unit coverage and manufacturer instructions.

Skylight example

A 0.80 × 1.20 m skylight can be drawn on the roof plan for orientation. Do not automatically subtract that rectangle from a purchase: flashing, cuts and junctions may require additional material.

Result: roughly 62.35 m² of roof surface before allowance. No structural, drainage or installation safety checks are included. TechoExacto is for preliminary estimates.

FROM EXAMPLE TO YOUR PROJECT

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Enter your own measurements and compare the result. Actual quantities depend on your materials.

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Scope: educational estimates only. Verify all measurements, manufacturer specifications, safety requirements and local regulations before starting work.