Elongated pentagonal orthobicupola

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In geometry, the elongated pentagonal orthobicupola or cantellated pentagonal prism is one of the Johnson solids ( J38 ). As the name suggests, it can be constructed by elongating a pentagonal orthobicupola ( J30 ) by inserting a decagonal prism between its two congruent halves. Rotating one of the cupolae through 36 degrees before inserting the prism yields an elongated pentagonal gyrobicupola ( J39 ).

Formulae

The following formulae for volume and surface area can be used if all faces are regular, with edge length a:

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