The sphere is the figure generated by rotating a circle through an axis that passes through the center. Therefore, sometimes it receives the name of solid of revolution. This solid shape can be obtained by rotating a flat shape around an axis. We define round solid shapes as geometric solids with at least one curved face. Octagonal: has each of the floors in the shape of an octagon. Hexagonal: has each of the bases in the form of a hexagon. Pentagonal: has each of the floors in the shape of a pentagon. Quadrangular: has each of the bases in the form of a quadrilateral. Triangular: Each floor is in the shape of a triangle. For example: if the floors are triangles, it is a triangular prism.īased on the base, these types of solid can be named as: The base's polygon determines the name of the prism. These parallelograms are called the prism's lateral faces, and the remaining two polygons are called the bases. The remaining faces of the prism are parallelograms that have common sides with these polygons. What Are Prisms?Ī prism is a polyhedron with two equal flat surfaces in parallel planes. The lower part is a truncated pyramid of the two resulting pieces, and the upper part is still a pyramid. Pyramid trunks are obtained by sectioning a pyramid with an intermediate plane parallel to its base. The number of faces is the same as the number of edges of the bases. On the other hand, it is composed of trapezoid-shaped lateral faces.
The frustum of a pyramid is a polyhedron made up of two parallel bases with the same number of edges. A Specific Case of Polyhedron: Pyramid Trunk These solids are the triangular pyramid, tetrahedron, cube, octahedron, dodecahedron, and icosahedron. The five convex examples have been known since ancient times called Platonic polyhedra. There are nine regular polyhedra: five convex polyhedra and four-star polyhedra.Ī convex polyhedron is a polyhedron that embeds a convex solid that is, for each pair of points in the shape, the line segment joining them is wholly contained in the solid body. Regular polyhedra are the most symmetrical. These types of solid shapes can be classified according to the number of faces. Regular polyhedra are made up of regular polygons. Among them, we can distinguish regular polyhedrons and irregular polyhedra.Ī polyhedron is the equivalent of any polygon in 2D shapes in three-dimensional geometry. Polyhedrons are a particular case of solid shapes whose faces are all polygons. On the other hand, a cube is a polyhedron with six square faces: a geometric solid with height, width, and length. For example, a square is a quadrilateral: a four-sided geometric figure represented on a flat surface. We can easily understand a geometric solid from various examples. The three elements that make up three-dimensional shapes are faces, edges, and vertices. In general, they are 3D shapes that delimit or describe volumes. The main characteristic is that they have three dimensions (height, length, and width) and occupy space. Solid shapes are three-dimensional geometric shapes.
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