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# Chapter 12 - Geo.

### Chapter 12 Vocabulary - Surface area and Volume of Solids

Word | Definition |
---|---|

center of a sphere | see sphere |

chord of a sphere | a segment whose endpoint are on a sphere |

cone | a solid has one circular base and a vertex that is not on the same plane as the base |

convex polyhedron | a polyhedron is convex if any two points on its surface can be connected by a segment that lies entirely inside or on the polyhedron; if this segment goes outside the polyhedron, then the polyhedron is nonconvex or concave |

cross section | the intersection of a plane and a solid |

cube | a polyhedron with six congruent square faces |

cylinder | a solid with two congruent bases that lie in parallel planes |

dodecahedron | a polygon with twelve faces |

diameter of a sphere | a chord that contains the center of a sphere; the distance across a sphere through its center |

edge of a polyhedron | a line segment formed by the intersection of two faces of a polyhedron |

face of a polyhedron | see polyhedron |

great circle | the intersection of a sphere and a plane that contains the center of the sphere |

hemisphere | half a sphere, formed when a great circle separates a sphere into congruent halves |

icosahedron | a polyhedron with twenty faces |

lateral area | the of the areas of the lateral faces of a polyhedron or other solid with one or two bases |

lateral edges of a prism | the segments connecting the corresponding vertices of the bases of a prism |

lateral faces of a prism | the faces of a prism that are parallelograms formed by connecting the corresponding vertices of the bases of the prism |

oblique prism | a prism with lateral edges that are not perpendicular to the bases |

net | the two-dimensional representation of the faces of a polyhedron |

platonic solids | five regular polyhedra, named after the Greek mathematician and philosopher Plato |

polyhedron | a solid that is bounded by polygons, called faces, that enclose a single region of space |

prism | a polyhedron with two congruent faces, called bases, that lie in parallel planes |

pyramid | a polyhedron in which the base is a polygon and the lateral faces are triangles with ac common vertex, called the vertex of the pyramid |

octahedron | a polyhedron with eight faces |

regular polyhedron | a convex polyhedron in which all of the faces are congruent regular polygons |

regular pyramid | a pyramid that has a regular polygon for a base and in which the segment joining the vertex and center of the base is perpendicular to the base |

right cone | a cone in which the segment joining the vertex and the center of the base is perpendicular to the base; the slant height is the distance between the vertex and a point on the base edge |

right cylinder | a cylinder in which the segment joining the centers of the bases is perpendicular to the bases |

right prism | a prism in which each lateral edge is perpendicular to both bases |

radius of a sphere | a segment from the center of a sphere to a point on the sphere; the distance from the center of the sphere to any point on the sphere |

slant height of a regular pyramid | the height of a lateral face of the regular pyramid |

sphere | the set of all points equidistant from a given point called the center of the sphere |

similar solids | two solids with the same type with equal ratios of corresponding linear measure, such as heights or radii |

surface area | the sum of the areas of the faces of a polyhedron or other solid |

tetrahedron | a polyhedron with four faces |

vertex of a polyhedron | a point where three or more edges of a polygon meet |

vertex of a cone | see cone |

vertex of a pyramid | see pyramid |

volume of a solid | the number of cubic units contained int he interior of a solid |

lateral surface of a cone | consists of all segments that connect the vertex with points on the edge of the base |

Created by:
kgatling