Yes.
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Triangle
A prism has a variety of bases but the sides are always parallelograms. A triangular prism has a triangle as the two bases and parallelograms as lateral sides. A pyramid has a variety of bases but the sides are triangles.
No, there are more that triangular prisms. There are also rectangular prisms and one other that i cant recall.=-)
The lateral faces of a prism - pentagonal or other - are rectangular.
Triangular Prism, Triangular Pyramid.