Imagine a polyhedron similar to a prism, with parallel but different bases. Let the bases have the same number of sides, so that every vertex on a base is connected to exactly one vertex on the other base (side faces are all quadrilaterals). See example figure:
Does it have a name? I found the term "prismatoid" but it seems like a more general family.See edit below.- Is it possible to compute its volume without integrating? By analogy with trapezoids in 2D, I'd be tempted to say $(A1 + A2) / 2 * h$, where $A1$ and $A2$ are the areas of the two bases.
EDIT
It's been rightly noticed that my picture is not a polyhedron because the left face is not planar. But I've found that what I describe should be a "prismoid", a subclass of prismatoids with both bases having the same number of vertices. But I cannot find extended information on such objects, so I think the second question still holds.