hexagonal pyramid
A hexagonal prism.
A hexahedron or a triangular dipyramid. This is the shape formed by two triangular pyramids (tetrahedrons) stuck together along one triangular face.
sqare based pyramid
There is no such shape - unless there are other faces. If there is one rectangular face then you require at least four other faces - one on each edge of the rectangle - making a minimum of 5 faces.
It have six (as in hexagonal) around the edge, a top and bottom face and the hole in the middle with the thread. So it have 8 faces.
A cuboid prism has no triangular faces
The solid shape that has one square face and four triangular faces is called a pyramid. If you were to have a shape that had four triangular faces and no square face, it would be called a triangular pyramid.
An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. An octahedron can have triangles for all eight faces or, as is the case with a hexagonal prism, not a single triangular face.
An octagon is a plane shape with just one face - an octagonal face! It cannot have triangular faces.
A 10-sided die has 10 triangular faces.
The shape that has four triangular faces and one rectangular face is called a triangular prism. In this solid, the rectangular face serves as the base, while the triangular faces connect the edges of the rectangular base, forming the prism's sides. Triangular prisms can vary in size but maintain this characteristic face structure.
A hexagonal prism.
Triangular prisim
There is no 3-d shape with 4 and 1 = 5 triangular faces.
If the base of the pyramid is a triangle then all its faces would be triangular in shape.
The shape you are describing is a triangular pyramid. A triangular pyramid has a base that is a triangle and three triangular faces that meet at a single point called the apex. The base of the pyramid is a rectangle, which is a quadrilateral with four right angles. The triangular faces of the pyramid connect the vertices of the base to the apex.
A hexahedron or a triangular dipyramid. This is the shape formed by two triangular pyramids (tetrahedrons) stuck together along one triangular face.