Johnson Solids (Page 3)

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(J42) Elongated Pentagonal Orthobirotunda
Vertices:  40  ({20 + 10 * 2}[4])
Faces:42  ({10 * 2} equilateral triangles + {5 * 2} squares
    + {10 + 2} regular pentagons)
Edges:80
Symmetry:  5-fold Prismatic  (D5h)
(values below based on edge length = 1)
Volume:(45+17*sqrt(5)    
    +15*sqrt(5+2*sqrt(5)))/6    
≈21.529734779187537646