Johnson Solids (Page 3)

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(J46) Gyroelongated Pentagonal Bicupola
Vertices:  30  (10[4] + {10 * 2}[5])
Faces:42  ({10 * 3} equilateral triangles + 10 squares
    + 2 regular pentagons)
Edges:70
Symmetry:  5-fold Dihedral  (D5)
(values below based on edge length = 1)
Volume:(10+8*sqrt(5)+5*sqrt(2    
    *(sqrt(10*(65+29*sqrt(5)))    
    −1−sqrt(5))))/6    
≈11.397378512213381124