If you’re using lighter cheaper materials No, I’m using the same materials. sloped roofs are simply a stronger geometry, allowing roofs to be cheaper and lighter by using less material.

No, for the same amount of occupiable space the shorter flat roof blocks less light than a standard 10:12 or 12:12 roof Incorrect. While the highest point of a sloped roof is higher than the highest point of a flat roof, the lowest point is lower. This means that for medium high sun angles sloped roofs provide won’t block the sunlight, while flat roofs do, and for low sun angles it is the other way around. However, there is not much sunlight anyway at low angles.

The greater surface area of a pitched roof means this is absolutely not true. The hypotenuse is always longer than either leg. That’s a basic math fail. The highest volume-to-surface-area-ratio is achieved in a spherical design, A slope roof that has a less than 45 degree angle is closer to a sphere.

Do you have any real disadvantages of sloped roofs?