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Some things shaped like a triangular prism include certain types of buildings, such as pyramids or triangular roof structures. Certain crystals, like bipyramidal quartz, can also have a triangular prism shape. In geometry, a triangular prism itself is a solid shape with two triangular bases and three rectangular faces.
a triangular prism has a triangle for the bottom and has 3 faces like a pyramid
That sounds like a triangular prism.
a piece of a very thick cake would be in the shape of a triangular prism so if you take a thick cake and cut it into regular sized pieces, the shapes of the pieces would be triangular prism
If you looked at the bottom of a pyramid and saw a right triangle it would be a right triangular prism. It would have 3 triangular faces extending up from the bottom. The last sentence refers to a right tetrahedron, not a prism. A triangular prism has two triangles at either end, and three rectangles joining them - like a pencil with a triangular cross-section.