In geometry, the gyroelongated pentagonal cupola is one of the Johnson solids (J<sub>24</sub>). As the name suggests, it can be constructed by gyroelongating a pentagonal cupola (J<sub>5</sub>) by attaching a decagonal antiprism to its base. It can also be seen as a gyroelongated pentagonal bicupola (J<sub>46</sub>) with one pentagonal cupola removed.
With edge length a, the surface area is
and the volume is
The dual of the gyroelongated pentagonal cupola has 25 faces: 10 kites, 5 rhombi, and 10 pentagons.