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# The Geometry Of Solids Notes

## by acavis on Aug 26, 2009

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## The Geometry Of Solids NotesPresentation Transcript

• The Geometry of Solids
• Vocab./Terms
• Polyhedron – a solid formed by polygons that encloses a given space
• Faces – the flat polygon shaped surfaces of a polyhedron
• Edges – a line segment where 2 faces meet
• Vertex – a point where 3 or more edges intersect (the corners of the polyhedron)
• Vocab./Terms
• Just like polygons are classified/named by the number of sides that they have, a polyhedron is classified by its number of faces.
• The prefixes are the same, but they end in “-hedron,” not “-gon”
Hexahedron Heptahedron Dodecahedron
• Vocab./Terms
• Regular Polyhedron – a polyhedron where each face is a regular polygon and all faces are congruent.
Regular Hexahedron Regular Dodecahedron
• Prisms
• A PRISM is a special type of polyhedron with 2 faces called bases that are congruent, parallel polygons.
• The other faces of the prism, called lateral faces are parallelograms that connect the bases and they meet at lateral edges .
• A prism is classified by its bases and then the word “Prism”
• What would we call these prisms?
1) 2) 3)
• Pyramid
• Pyramid - A polyhedron with one base
• The other faces are called lateral faces
• The point where the lateral faces meet is called the vertex
• A pyramid is also classified by the shape of its base
Square Pyramid Hexagonal Pyramid Pentagonal Pyramid
• Non-Polyhedra Solids
• Polyhedrons are geometric solids with flat surfaces. Some solids have curved surfaces. Can you name any?
• Sphere
• Sphere – set of all points that are a given distance from a single point
• That single point is the center
• That given distance from the point is the radius
• Cylinder
• Cylinder – A solid with congruent, parallel bases that are circles
• The radius of the cylinder is the radius of the circle base
• Cone
• Cone – a solid with a circle for a base and a single vertex point.
• Similar to a pyramid
• The radius of the cone is the radius of the base
• How many ways could we classify this? 5cm 5cm 5cm • Polyhedron • Hexahedron • Regular Polyhedron • Regular Hexahedron • Prism • Rectangular Prism • Square Prism • Cube