| A | B |
|---|
| prism | a polyhedron with two congruent faces that lie in parallel planes, where the other faces are parallelograms. |
| bases | congruent faces that lie in parallel planes |
| lateral faces | parallelograms formed by connecting th ecorreesponding vertices of bases in a prism. |
| right prism | a prism where each lateral edge is perpendicular to both bases. |
| oblique prisms | Prisms that have lateral edges that are not perpendicular to the bases. |
| surface area of a polyhedron | The sum of the areas of the faces. |
| lateral area of a polyhedron | The sum of the areas of the lateral faces |
| net | The two-dimensional representation of all of a prism's faces. |
| cylinder | A solid with congruent circular bases that lie in parallel planes. |
| right cylinder | A cylinder where the segment joining the centers of the bases is perpendicular to the bases. |
| lateral area of a cylinder | The area of a cylinder's curved surface and equal to the product of the circumference and the height. |
| surface area of a cylinder | Equal to the sum of the lateral area and the areas of the two bases. |
| Theorem: Surface Area of a Right Prism | S = 2B + Ph, where B is the area of a base, P is the perimeter of a base, and h is the height. |
| Theorem: Surface Area of a Right Cylinder | S = 2B + Ch, where B is the area of a base, C is the circumference of a base, r is the radius of a base, and h is the height. |
| pyramid | A polyhedron in which the base is a polygon and the lateral faces are triangles with a common vertex. |
| lateral edge | The intersection of two lateral faces of a pyramid. |
| base edge | The intersection of the base of a pyramid and a lateral face. |
| altitude or height | The perpendicular distance between the base and the vertex |
| regular pyramid | This has a regular polygon for a base and its height meets the base at its center. |
| slant height of a regular pyramid | The altitude of any lateral face. |
| circular cone | This has a circular base and a vertex that is not in the same plane as the base. |
| right cone | The height meets the base at its center |
| slant height of a right cone | The distance between the vertex and a point on the base edge |
| lateral surface of a cone | all segments that connect the vertex with points on the base edge |
| Theorem: Surface Area of a Regular Pyramid | S = B +1/2(Pl), where B is the area of the base, P is the perimeter of the base, and l is the slant height |
| Theorem: Surface Area of a Right Cone | S = (pi)r-squared + (pi)rl, where r is the radius of the base and l is the slant height |
