Hip to gable calcuation for permitted development

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23 Oct 2014
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Sussex
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Hi, sorry to bother you all. I'm a university student studying Building Surveying and have a coursework brief to design a loft conversion for a 1920's. I have to do the designs for permitted development and building regulations.

Basically I'm hitting a problem when trying to convert my hipped roof to a gable wall. The issue is I am using a book called "Loft Conversions" by John Coutts, second edition and on page 7 it states the calcuation for a hip to gable extension is:

(Breadth x height x length)/4
(In effect (for clarity) wall length x height of new gable wall x the distance from the ridge board end to the gable wall tip)/4



However, my class mates and all other sites I see state it should be:

(Breadth x height x length)/4



Or in some other cases it's:

Triangular prism:
(Breadth x height)/2 x (edge of ridge to the eaves x 2)

Pyramid:
(Breadth x (edge of ridge to the eaves x 2)) x (1/3 x height)

(Prism x Pyramid)/2

Link to the last one for clarity: http://www.abbeylofts.net/knowledge-base/hip-to-gable-loft-conversions-all-you-need-to-know.htm

Basically, I want to know which is right, and why (if it is) my original one of (BxHxL)/2 is wrong, as mathmatically it makes complete sense to me.

I apologise for the wall of text and thank you for your kind attention,

James Newport
 
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