Elongated pentagonal pyramid

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In geometry, the elongated pentagonal pyramid is one of the Johnson solids ( J9 ). As the name suggests, it can be constructed by elongating a pentagonal pyramid ( J2 ) by attaching a pentagonal prism to its base.

Formulae

The following formulae for the height (H), surface area (A) and volume (V) can be used if all faces are regular, with edge length L:

Dual polyhedron

The dual of the elongated pentagonal pyramid has 11 faces: 5 triangular, 1 pentagonal and 5 trapezoidal. It is topologically identical to the Johnson solid.

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