twenty examples 3 dimensional figures.
Answers
Polyhedrons are defined as having:
Straight edges.
Flat sides called faces.
Corners, called vertices.
Polyhedrons are also often defined by the number of edges, faces and vertices they have, as well as whether their faces are all the same shape and size. Like polygons, polyhedrons can be regular (based on regular polygons) or irregular (based on irregular polygons). Polyhedrons can also be concave or convex.
One of the most basic and familiar polyhedrons is the cube. A cube is a regular polyhedron, having six square faces, 12 edges, and eight vertices.
Properties of Basic Polyhedrons. Regular polyhedrons, prisms and pyramids.
Regular Polyhedrons (Platonic Solids)
The five regular solids are a special class of polyhedrons, all of whose faces are identical with each face being a regular polygon. The platonic solids are:
Tetrahedron with four equilateral triangle faces.
Cube with six square faces.
Octahedron with eight equilateral triangle faces.
Dodecahedron with twelve pentagon faces.
Icosahedron with twenty equilateral triangle faces.
See the diagram above for an illustration of each of these regular polyhedrons.
What is a Prism?
A prism is any polyhedron that has two matching ends and flat sides. If you cut a prism anywhere along its length, parallel to an end, its cross-section is the same - you would end up with two prisms. The sides of a prism are parallelograms - four-sided shapes with two pairs of sides with equal length.
Antiprisms are similar to regular prisms, their ends match. However the sides of anti-prisms are made up of triangles and not parallelograms. Antiprisms can become very complex.
What is a Pyramid?
A pyramid is a polyhedron with a polygon base that connects to an apex (top point) with straight sides.
Although we tend to think of pyramids with a square base, like the ones that the ancient Egyptians built, they can in fact have any polygon base, regular or irregular. Furthermore, a pyramid can have an apex in the direct centre of its base, a Right Pyramid, or can have the apex off centre when it's an Oblique Pyramid.
Archimedean Solid - Truncated Cube
More Complex Polyhedrons
There are many more types of polyhedra: symmetrical and asymmetrical, concave and convex.
Archimedean solids, for example, are made up of at least two different regular polygons
Step-by-step explanation:
Name of 3D shape: Picture of 3D shape: Attributes:
Cube cube
Faces - 6
Edges - 12
Vertices - 8
Rectangular Prism or Cuboid rectangular prism
Faces - 6
Edges - 12
Vertices - 8
Sphere sphere
Curved Face - 1
Edges - 0
Vertices - 0
Cone cone
Flat Face - 1
Curved Face - 1
Edges - 1
Vertices - 1
Cylinder cylinder
Flat Face - 2
Curved Face - 1
Edges - 2
Vertices-0