![]() Solid shapes have faces, edges, and vertices.Solids or three-dimensional objects have 3 dimensions, namely length, breadth, and height.Moving your fingers along geometric shapes will help you understand the concept of faces, edges, and vertices.The point of intersection of edges denotes the vertices.A point where two or more lines meet is called a vertex.They serve as the junction of two faces.An edge is a line segment on the boundary joining one vertex (corner point) to another.Solid shapes can have more than one face.A face refers to any single flat surface of a solid object.As a result of these three dimensions, these objects have faces, edges, and vertices. It has 8 vertices (corner points) where 3 edges meet.įaces, Edges, and Vertices of Solid ShapesĪs mentioned before, solid shapes and objects are different from 2D shapes and objects because of the presence of the three dimensions - length, breadth, and height. ![]() It has 6 faces, each with 4 edges (and is a square).The table below shows the properties of platonic shapes: (EL = edge length) Properties of Cube Hexahedron or cube with six square faces.Icosahedron with twenty equilateral-triangular faces.Dodecahedron with twelve pentagon faces.Octahedron with eight equilateral-triangular faces.Tetrahedron with four equilateral-triangular faces.Platonic solids have identical faces to regular polygons. It has the same cross-section all along its length.It has identical ends (polygonal) and flat faces.The table below shows the properties of a prism: (BA = base area, P = perimeter, H = height) Properties Prisms are also broadly classified into regular prisms and oblique prisms. The different types of prisms are triangular prisms, square prisms, pentagonal prisms, hexagonal prisms, etc. Based on their apex alignment with the center of the base, they can be classified into regular and oblique pyramids.Ī prism is a solid shape defined on a 3-dimensional plane with two identical shapes facing each other.A pyramid is a polyhedron with a polygon base and an apex with straight lines.The table below shows the properties of a pyramid: (BA = base area, P = perimeter, A = altitude, and SH = slant height ) Properties Regular hexagon base is called a hexagonal pyramid.Pentagon base is called a pentagonal pyramid.A quadrilateral base is called a square pyramid.Triangular base is called a Tetrahedron.Pyramids are typically described by the shape of their bases. ![]()
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