Yes, triangular prisms have two faces that are equilateral triangles and three faces that are rectangles.
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Sometimes triangular prisms have isosceles triangle bases. It is the most common, but they don't always have isosceles triangles.
No, Triangular prisms have two bases that are triangular but these need not be equilateral.
Triangles, pyramids, and prisms can all have triangular shapes.
Triangular prisms and Rectangular pyramids
They are 3-dimensional objects comprising two congruent and parallel triangular faces and three rectangular faces joining the sides of the triangles.