3-D Objects and Geometric Properties

Flashcards covering the definitions, properties (faces, edges, vertices), and terminology associated with various 3-dimensional geometric objects.

3-D Shapes

Shapes that you are able to pick up, which have faces (sides), edges, and vertices (corners).

Rectangular Prism

A 3-D object that can have either 6 rectangular faces or 4 rectangular faces and 2 square faces.

Cube

A 3-D object that always has 6 square faces.

Square based pyramid

A 3-D object with 1 square face and 4 triangular faces, totaling 5 flat surfaces.

Faces

The flat or curved sides of a 3-D shape.

Edges

The lines where the faces of a 3-D shape meet; these can be straight or curved.

Vertices

The corners of a 3-D shape.

Triangular prism

A 3-D object that has 2 triangular faces and 3 rectangular faces, totaling 5 flat surfaces and 9 edges.

Hexagonal prism

A 3-D object with two hexagonal faces and six square (or rectangular) faces, totaling 8 faces, 18 edges, and 12 vertices.

Sphere

A 3-D object with only 1 curved surface and 0 edges or vertices.

Cylinder

A 3-D object with 2 flat surfaces (circles), 1 curved surface, 2 curved edges, and 0 vertices.

Cone

A 3-D object with 1 flat surface, 1 curved surface, 1 curved edge, and 1 vertex.

Tetrahedron

A triangle-based pyramid consisting of 4 flat triangular surfaces, 6 straight edges, and 4 vertices.

Pentagonal prism

A 3-D object with 7 flat surfaces, 15 straight edges, and 10 vertices.

Octagonal prism

A 3-D object with 10 flat surfaces, 24 straight edges, and 16 vertices.

Octahedron

A 3-D object with 8 flat surfaces, 12 straight edges, and 6 vertices.

Angle Symbol

The symbol used for an angle is $\angle$.

Face Angles

The angles found on the surfaces of 3-D objects, which can be right $\angle$, smaller than right $\angle$, or bigger than right $\angle$.

Hyperbolic paraboloid

The mathematical name for the shape of a Pringle.