Any member of the prism family.
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Prism.
cubes, prisms, dodecahedrons...
Any polyhedron other than a pyramid.
A shape that has fewer than 8 faces and fewer than 10 edges is a triangular prism. A triangular prism has 5 faces (2 triangular faces and 3 rectangular faces) and 9 edges. It meets the criteria of having fewer than 8 faces and fewer than 10 edges.
There is no polyhedron that meets these requirements. But there are many possible non-polyhedral shapes: for example, a hemisphere, a cone, a torus (doughnut) sliced by a plane perpendicular to its axis.