
Originally Posted by
Unenlightened
Find the volume of the solid lying beneath the surface $\displaystyle z=xy$ and above the triangle in the $\displaystyle x-y$-plane with vertices $\displaystyle (1,2),(1,4),(5,2)$.
I can picture this in my head, and while I initially thought to thought to make the shape into a cuboid, and find its area, then half it - the related problems are all integration related, so I figured perhaps I ought to use calculus instead, perhaps some double integral...
Beyond that, though, I'm lost...