1. Sphere, 2. Hemisphere, 3. Cylinder, 4. Cone
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I DON'T KNOW sorry * * * * * Three dimensional shapes, regular polyhedra.
The geometric shape that would almost match those characteristics is a triangular pyramid, as it would have four faces rather than three
Platonic solids, being three-dimensional objects with certain characteristics, would come under the category of geometry, not algebra. For more information on Platonic solids, see the Wikipedia entry or the Wolfram MathWorld description.
No, a cone is not a tetrahedron. A cone is a three-dimensional geometric shape with a circular base and a pointed vertex. A tetrahedron, on the other hand, is a four-sided polyhedron with triangular faces.
A polyhedron of 5 or more sides can always be found that has a rectangular face. So three shapes are:a pentahedron (rectangle based pyramid),a hexahedron (cuboid),a heptahedron (pentagonal pyramid).