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# geometry of 3D

### Geometry of 3D Shapes

Term | Definition |
---|---|

cone | edges = 0 faces = 1 vertices = 1 |

pyramid | edges = 6 faces = 4 vertices = 4 |

cylinder | edges = 0 faces = 2 vertices = 0 |

sphere | edges = 0 faces = 0 vertices = 0 |

rectangular prism | edges = 8 faces = 5 vertices = 5 |

cube | edges = 12 faces = 6 vertices = 8 |

polyhedron | a solid bounded by polygons that enclose a single region of space |

faces | polygons that make the sides of a polyhedron |

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

vertext | a point where three or more edges meet |

regular polyhedron | all faces are congruent regular polygons |

convex | any two points can be connected by a segment that lies entirely inside or on the polyhedron |

platonic solids | the five regular polyhedrons: tetrahedron, cube, octahedron, dodecahedron, icosahedron |

prism | a polyhedron with two congruent and parallel bases |

lateral faces | the faces on a prism that aren't bases |

lateral edges | the segments connecting the vertices of the base (perimeter of the base) |

surface area (of a polyhedron) | the sum of all the areas of its faces |

lateral area (of a polyhedron) | sum of all the areas of its lateral faces |

net | two dimensional representation of a polyhedron |

right prism | each lateral edge is perpendicular to both bases |

oblique prism | lateral edges are not perpendicular to the bases |

formula: surface area of a pyramid | B + 1/2(Ph) |

formula: surface area of a prism | 2B + Ph |

formula: surface area of a cone | πr² + πrL |

formula: surface area of a cylinder | 2πr² + 2πrh |

cone | a solid figure that has a circular base and one vertex |

cylinder | A solid figure with two congruent and parallel circular bases |

sphere | an object with all points on its surface equally distant from its center; a ball or globe |

faces | the flat surfaces of a 3-D figure |

edges | the intersection of faces of a 3-D figure |

vertices | a corner of a polygon |

Created by:
garfieldwhitebooi