Avaondale Geo 3D
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Created by:
Angsioco_Mark on November 10, 2011
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38 terms
Terms | Definitions |
|---|---|
 polyhedron | a solid figure with many sides, such as a pyramid |
| face | a surface forming part of the outside of an object |
| edge | a sharp side formed by the intersection of two surfaces of an object |
| vertex | the point of intersection of lines or the point opposite the base of a figure |
| regular polyhedron | any one of five solids whose faces are congruent regular polygons and whose polyhedral angles are all congruent |
| convex | curving or bulging outward |
| cross section | a section created by a plane cutting a solid perpendicular to its longest axis |
| platonic solids | tetrahedron, cube, regular octahedron, regular dodecahedron, regular icosahedron |
| tetrahedron | any polyhedron having four plane faces |
| octahedron | any polyhedron having eight plane faces |
| dodecahedron | any polyhedron having twelve plane faces |
| icosahedron | any polyhedron having twenty plane faces |
| prism | a polyhedron with two congruent and parallel faces (the bases) and whose lateral faces are parallelograms |
| bases | polygons that make up the bottoms of a polyhedron |
| lateral faces | the faces that are not the base of a parallelogram |
| right prism | each lateral edge is perpendicular to both bases |
| oblique prism | a prism that is not a right prism |
| surface area of a polyhedron | the sum of the areas of the faces of the polyhedron |
| lateral area of a polyhedron | the sum of the areas of the lateral faces of a polyhedron. |
| net | a two-dimensional pattern that you can fold to form a three-dimensional figure |
| cylinder | a solid bounded by a cylindrical surface and two parallel planes (the bases) |
| right cylinder | A cylinder with the axis perpendicular to both bases. |
| lateral area of a cylinder | la=2πrh |
| surface area of a cylinder | SA=2πr²+2πrh |
| pyramid | a polyhedron having a polygonal base and triangular sides with a common vertex |
| regular pyramid | a pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles |
| circular cone | base is a circle & it has 1 vertex. |
| lateral surface of a cone | LSA = ½PL (P is the perimeter/circumference of the base, L is the slant height) |
| right cone | A cone in which a perpendicular line drawn from the base to the tip (vertex) passes through the center of the base |
| volume of a solid | V=lwh |
| sphere | a three-dimensional closed surface such that every point on the surface is equidistant from the center |
| center of a sphere | The point inside a sphere that is the same distance from every point on the sphere. |
| radius of a sphere | a segment that has one endpoint at the center and the other endpoint on the sphere |
| chord of a sphere | a segment whose endpoints are on the sphere |
| diameter of a sphere | a segment passing through the center, with endpoints on the sphere |
| great circle | a circular line on the surface of a sphere formed by intersecting it with a plane passing through the center |
| hemisphere | half of a sphere |
| similar solids | solids with the same shape and all their corresponding dimensions are proportional |
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