Three-dimensional figure vocabulary

Learning Objectives Define key vocabulary terms such as polyhedron, face, edge, and vertex. Identify the faces, edges, and vertices on a given three-dimensional figure. Differentiate between prisms and pyramids based on their defining characteristics. Classify polyhedra by the shape of their base (e.g., triangular prism, square pyramid). Apply Euler's formula to verify the relationship between the faces, vertices, and edges of a convex polyhedron. Distinguish between right and oblique solids. Ever wonder how architects design skyscrapers or how game developers create realistic 3D worlds? 🏙️ It all starts with a shared language for describing shapes! This tutorial introduces the fundamental vocabulary used to describe three-dimensional figures. Mastering these terms is...

TermDefinitionExample PolyhedronA three-dimensional solid figure whose surfaces are flat polygons. It has no curved surfaces.A cube, a pyramid, or a soccer ball (which is a truncated icosahedron). FaceOne of the flat polygonal surfaces of a polyhedron.A cube has 6 square faces. EdgeA line segment formed by the intersection of two faces of a polyhedron.A cube has 12 edges. Vertex (plural: Vertices)A point where three or more edges meet; a corner of a polyhedron.A cube has 8 vertices. PrismA polyhedron with two parallel, congruent polygonal bases and lateral faces that are parallelograms (typically rectangles in a right prism).A Toblerone box is a triangular prism. PyramidA polyhedron with one polygonal base and triangular lateral faces that meet at a single common vertex called the apex.Th...

Euler's Formula for Polyhedra V - E + F = 2 For any convex polyhedron, the number of Vertices (V) minus the number of Edges (E) plus the number of Faces (F) always equals 2. This is a powerful tool for verifying your counts of a figure's parts. Naming Prisms and Pyramids Name = (Base Shape) + (Solid Type) The name of a prism or pyramid is determined by the shape of its base. For example, a prism with a pentagonal base is a 'pentagonal prism', and a pyramid with a hexagonal base is a 'hexagonal pyramid'.