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My house has an attic consisting of a horizontal rectangular base of length $2q$ and breadth $2p$ (where $p < q$) and four plane roof sections each at angle length $\theta$ to the horizontal. Show that the length of the roof ridge is independent of $\theta$ and find the volume of the attic and the surface area of the roof.

I'm struggling with this problem mainly because I can't visualize what's going on. Thanks.

I'm struggling with this problem mainly because I can't visualize what's going on. Thanks.

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