If a roof has a 6 in 12 slope, what multiplier should be used for area conversion?

To understand why the correct multiplier for a roof with a 6 in 12 slope is 1.118, it's important to first grasp what slope ratios mean in terms of roof construction and area. A slope of 6 in 12 indicates that for every 12 horizontal units (the run), the roof rises 6 vertical units (the rise).

To calculate the actual surface area of the roof, it’s necessary to account for the slope when measuring the area based on the horizontal dimensions. The roof forms a right triangle when viewed in elevation, with the rise and the run as its legs. The length of the roof surface (the hypotenuse) must be calculated to determine the effective roof area.

To derive the hypotenuse length from the given slope, the Pythagorean theorem can be used. In this case, you calculate the hypotenuse as the square root of the sum of the squares of the run and the rise:

[

\text{Hypotenuse} = \sqrt{(12^2) + (6^2)} = \sqrt{144 + 36} = \sqrt{180} \approx 13.416

]

Now, the multiplier for converting horizontal area to the