You can call it a "triangular prism" rather than "triangular based prism" ... saying a prism is "triangular" imply that the base is a triangle.
There's no other name that I know of.
A prism is just a 3d shape, so all you have to say is <type of shape> + prism to get the point across.
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it is also called a triangular prism
An octagon-based prism.An octagon-based prism.An octagon-based prism.An octagon-based prism.
A tetrahedron.
Altitude
altitude