| A | B |
|---|
| Polyhedron | solid that is bounded by polygons called faces that enslose a single region of space |
| Face | solid bounded by a polygon |
| Edge | line segment formed by the intersection of 2 faces |
| Vertex | point where three or more edges meet |
| Euler's Theorum | F+V=E+2 |
| surface | all of the points in its face |
| convex | if any two points on its surface can be connected by a line segment that lies extremely inside or on the polyhedron |
| regular polyhedron | all faces are regular congruent polygons |
| semiregular polyhedron | faces consist of more than one type of regular polygon and the same number of each type of polygon meet at each vertex |
| prism | poly. consisting of 2 congruent polygons called bases connected by parallelograms called lateral faces |
| surface area of a prism | 2B+Ph |
| cylinder | solid with 2 congruent circular bases that lie in parallel planes |
| height of a cylinder | perpendicular dstance between the bases |
| lateral area | area of the curved region between the bases |
| pyramid | poly. with one base that is a polygon and whose lateral sides are triangles that meet at 1 vertex |
| regular pyramid | its base is a reg. polygon and the segment from the vertex to the center of the base is perpen. to the base |
| surface area of a prism | B+1/2PL |
| cone | solid that has a circular base and the vertex that is not to the same plane as the base |
| surface area of a cone | B+1/2PL |
| volume | number of cubic units contained in a polyh. |
| volume of a cube | lxwxh |
| Volume of a prism | V=Bh |
| Cavalieri's Principal | If 2 solids have the same height and the same cross sectional value at every level, then they have the same volume |
| volume of a cylinder | V=Bh |
