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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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Q: What is another name for a triangular based prism?
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