yes, they do ,because they have two bases that are equilateral triangle and three faces that are rectangles.
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Two right-triangular prisms.
yes
The faces are always rectangles on prisms, so if it's a triangular prism the bases are triangles; if it's a rectangular prism, the bases are rectangles; if it's a hexagonal prism, the bases are hexagons. Any polygon can form the base of a prism. Some people also consider cylinders to be circular prisms. In which case any closed plane shape can form the base of a prism.
A rectangular prism is like a chalkboard eraser. A triangular prism is a pyramid. A pentagonal prism is a three dimensional home plate. None of them are the same.
Hexagonal prisms cannot be regular. If you tried to make one it would end up being a hexagon since six equilateral triangles make a hexagon. Therefore, there is no surface area.