There are no regular geometric figures with 9 edges and 10 faces.. I'm not even entirely sure there is an irregular geometric figure that would allow for such a combination- edge count and face count are usually identical... Maybe if you were describing some sort of conic section but I can't figure out what that might look like.
A 10 edged (sided) shape is called a decagon.
It is called a decahedron.
A decahedron.
A shape that has 10 sides (two dimensional) is called a decagon. A shape that has 10 faces (three dimensional) is call a decahedron.
A polygon (2-dimensional shape) with 10 sides is a decagon. A 3-dimensional polyhedron with 10 faces is a decahedron.
The 3D shape with 2 octagons and 8 squares is called a truncated square antiprism. It is a type of prism where the top and bottom faces are octagons, and the side faces are squares. This shape has a total of 10 faces, including 2 octagons and 8 squares.
It is an octagonal prism that has a total sum of 10 faces
hexagonal
A 10-sided shape is known as a decagon.(A decahedron is a 3-dimensional solid with 10 polygonal faces.)
octahedron - a polyhedron with 8 faces
A 3d shape with 10 sides is called a decahedron. I have added a link with some pictures of them. As you can see they look very different but all have 10 sides or faces.
A decahedron has 10 faces, one example is known as the augmented pentagonal prism.