The triangular prism.
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You are describing a triangular prism. It has a rectangular base, two rectangular sides and two triangular ends.
cube
no. Equilateral triangles have all equal sides. Isoceles triangles only have 2 congruent sides. Isosceles triangles have 2 equal sides.
The answer depends on the shapes and sizes of the triangles. I can make a big triangle, a quadrilateral, pentagon, hexagon, etc up to 12 sides.
Well, any shape with a triangular face. I assume that you mean a shape that only has (identical) triangles for faces. There are 2: the tetrahedron with 4 triangles, and the icosahedron with 20 triangles. * * * * * What about a triangular dipyramid? Two triangular pyramids stuck together along one face?