Polyhedrons Solid - a three-dimensional figure Polyhedra or Polyhedrons - solid with all flat...

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Polyhedrons Solid - a three-dimensional figure Polyhedra or Polyhedrons - solid with all flat surfaces Faces - the flat surfaces of a solid Edges - line segments where the faces intersect Base(s) - the two congruent and parallel faces - often a different shape then the rest of the faces Lateral Faces - the faces that are not the bases

Transcript of Polyhedrons Solid - a three-dimensional figure Polyhedra or Polyhedrons - solid with all flat...

Page 1: Polyhedrons Solid - a three-dimensional figure Polyhedra or Polyhedrons - solid with all flat surfaces Faces - the flat surfaces of a solid Edges - line.

PolyhedronsSolid - a three-dimensional figure

Polyhedra or Polyhedrons - solid with all flat surfaces

Faces - the flat surfaces of a solid

Edges - line segments where the faces intersect

Base(s) - the two congruent and parallel faces- often a different shape then the rest of the faces

Lateral Faces - the faces that are not the bases

Lateral Edges - segment formed by the intersection of two adjacent lateral faces.

Page 2: Polyhedrons Solid - a three-dimensional figure Polyhedra or Polyhedrons - solid with all flat surfaces Faces - the flat surfaces of a solid Edges - line.

Prism - a solid with 2 bases that are polygons

Cylinder - a solid with 2 bases that are circles

Pyramid - a solid with 1 base

Cone - a solid with a base

Sphere - a set of points in space that are a given distance from a given point (a ball)

Page 3: Polyhedrons Solid - a three-dimensional figure Polyhedra or Polyhedrons - solid with all flat surfaces Faces - the flat surfaces of a solid Edges - line.

SURFACE AREAOf Prisms and Cylinders

Surface Area (SA) - total area of all the faces

Lateral Area (LA) - total area of just the lateral faces

Page 4: Polyhedrons Solid - a three-dimensional figure Polyhedra or Polyhedrons - solid with all flat surfaces Faces - the flat surfaces of a solid Edges - line.

PRISM

LA=Ph

SA=Ph + 2B

P- perimeter of the base, h-height

B- area of a base

CYLINDER

LA=2rh

SA=2rh + 2r2

Page 5: Polyhedrons Solid - a three-dimensional figure Polyhedra or Polyhedrons - solid with all flat surfaces Faces - the flat surfaces of a solid Edges - line.

SURFACE AREA Of Pyramids and Cones

PYRAMIDLA=1/2PSA=1\2P+ B- slant heightdistance from vertex to edge of the base

CONELA= rSA= r+ r2


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3D Modeling: Subdivision Surfaces & Solid Modeling - Computer …david/Classes/CS430/Lectures/L-16_Solid... · Computer Graphics I 3D Modeling: Subdivision Surfaces & Solid Modeling

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Solid Figures Solids are 3 dimensional or 3D. Solids with flat surfaces that are polygons are called POLYHEDRONS. There are two types of Polyhedrons.

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