Johnson Solids (Page 1)

(box: x-ray)  (F: faces)  (slider: perspective)  (image: L=rotate R=zoom)  (M: metrics)
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(J7) Elongated Triangular Pyramid
Vertices:  7  ({3 + 1}[3] + 3[4])
Faces:7  ({3 + 1} equilateral triangles + 3 squares)
Edges:12
Symmetry:  3-fold Pyramidal  (C3v)
(values below based on edge length = 1)
Volume:(sqrt(2)+3*sqrt(3))/12    ≈0.55086383208997724412