enneahedron
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nonagon
a shape with nine sides is called nonagon
The general term is "pyramid". A nonagonal pyramid would be one where the base has nine sides; if you're referring to the sides of the solid object, it would be an octagonal pyramid (8 "sides" plus the base = nine sides total).
It is called a nonagon. There currently is no official name for a nine-sided polygon. However, two names have been proposed for such a figure: the first is a Nonagon; the second is an Enneagon.
A nonagon has nine sides.