Which house shape losses the most heat (from triangle shape, square and house shape) with the same volume. Y.?

Question

Also what happens to a house with double the volume but same amount of heat.

Suppposing the houses dont have any windows, they have the same surface area and same height. and heated with the same temperature for the same amount of time.

The only changing variable is the shape, then which one will lose the most heat. and why

thnx.

Answer 1

The heat is lost through the exterior surface of the house (walls, windows, doors, roof, floor) and is a direct function of the exterior surface area and its ability to conduct heat. If you are considering only shape of an object, not what it's made of, than the most heat losses the object which has the highest S/V ratio:
S being the exterior surface
V volume
For example, the lowest S/V ratio of any volume has a sphere, and from your example the house loses the most because of its shape
If a house has a double volume but looses the same amount of heat (if I understood correctly) than it has (if we are considering only shape) 2 times lover exterior surface.
Many more factors influence the heat loss of a house among them Heat transmission coeff (U value) being the most important.
Hope I helped

Ok, if everything is the same the only difference is the shape, it's like I explained, the house which losses the most is the one that has more exterior surfaces. If those are the same for 2 houses (two houses have equal wall, roof, floor surface) and if orientation of the two is the same (equal surface area of exterior having the same orientation-north, east...) than the heat loss is the same.
As I said before, if you exclude all other factors except the shape the only thing it comes down to is more or less exterior surface.
If comparing geometrical objects, triangle(pyramid) has the highest heat loss then the house then the square(cube) and the lowest heat loss has the sphere. If they all have the same volumes, geometricaly, the highest surface will have the triangle, then the square and finaly the sphere has the lowest.
Hope this is what you wanted to know

Answer 2

It is not the shape that matters but the surface area of the house. Most of the heat is lost through the roof, door and the windows. By calculating the total area of these you can make a comparison of heat loss in a building.
For your second question, if increasing the volume is not going to change the roof, door and the window areas, then heat loss will not change. Heat loss is a function of the area of the roof and the windows and the temperature gradient between the inside of the house and the exterior of the house. I hope this is helpful.

Answer 3

I think its the triangle shape that losses most heat. A square shape house catches the heat in every direction a sun has. A triangle, side A may catch heat for the first 6 hours, while it turns to other side B on the next 6 hours. A square catches heat all of its side during the 12 hour period. 12 hr period is when the sun is up.

Doubling the volume contains more air that can make neutralize heat. A lower/cooler temperature will be the result because of bigger volume...

Answer 4

Hot air rises, so its the house with the least volume higher up. Assuming all insulation is the same. So all being equal its the triangle/pyramid/cone type.