| A | B |
|---|
| Polyhedron | a solid that is bounded by polygons |
| Face | the polygon side of a polyhedron |
| Edge | a line segment formed by the intersection of two faces |
| Vertex | a point where three or more edges meet |
| Polyhedra | plural of polyhedron |
| Regular polyhedron | all faces of the polyhedron are congruent regular polygons |
| Convex | when in a polyhedron |
| Concave | nonconvex |
| Cross section | intersection of a plane and a solid |
| Platonic solids | the five regular polyhedral solids; tetrahedron |
| Tetrahedron | polyhedron with 4 faces |
| Octahedron | polyhedron with 8 faces |
| Cube | polyhedron with 6 faces |
| Dodecahedron | polyhedron with 12 faces |
| Icosahedron | polyhedron with 20 faces |
| Euler’s Theorem | the number of faces (F) |
| Prism | polyhedron with two congruent faces that lie in parallel planes |
| Bases | congruent faces of a prism |
| Lateral faces | parallelograms formed by connecting the corresponding vertices of the bases |
| Right prism | each lateral edge of this prism is perpendicular to both bases |
| Oblique prism | each lateral edge of this prism is not perpendicular to the base |
| Slant height | the length of the oblique lateral edges of an oblique prism |
| Surface area of a polyhedron | sum of the areas of the faces of the polyhedron |
| Lateral area of a polyhedron | sum of the areas of the lateral faces of the polyhedron |
| Surface Area of a Right Prism Theorem | The surface area S of a right prism can be found using the formula S = 2B + Ph |
| Net | the two dimensional representation of all of the faces of a polyhedron |
| Cylinder | a solid with congruent circular bases that lie in parallel planes |
| Altitude of a cylinder | the perpendicular distance between the bases. |
| Right cylinder | a cylinder where the segment joining the centers of the bases is perpendicular to the bases |
| Lateral area of a cylinder | area of the cylinder’s curved surface |
| Surface Area of a Right Cylinder Theorem | The surface area S of a right cylinder is S = 2B +Ch |
| Pyramid | a polyhedron in which the base is a polygon and the lateral faces are triangles with a common vertex |
| Regular pyramid | a polyhedron which has a regular polygon for a base and its height meets the base at its center |
| Surface Area of a Regular Pyramid Theorem | The surface area S of a regular pyramid is S = B +1/2Pl |
| Circular cone | a polyhedron with a circular base and a vertex that is not in the same plane as the base |
| Lateral surface of a cone | all segments that connect the vertex with poknts on the base edge. |
| Surface Area of a Right Cone Theorem | The surface area S of a right cone is S=?r^2+?rl. |
| Right cone | a cone which has a circle for a base and its height meets the base at its center |
| Volume of a solid | number of cubic units contained in its interior |
| Volume of a Cube (Postulate) | The volume of a cube is the cube of the length of its side or V=s^3 |
| Volume Congruence Postulate | If two polyhedral are congruent |
| Volume Addition Postulate | The volume of a solid is the sum of the volumes of all its nonoverlapping parts. |
| Cavalieri’s Principle (Theorem) | If two solids have the same height and the same cross-sectional area at every level |
| Volume of a Prism (Theorem) | The volume V of a prism is V = Bh |
| Volume of a Cylinder (Theorem) | The volume V of a cylinder is V=Bh=?r^2 h |
| Sphere | the locus of points in space that are a given distance from a point called the center |
| Radius of a sphere | a segment from the center to a point on a sphere |
| Chord of a sphere | segment whose endpoints are on a sphere |
| Diameter of a sphere | chord that contains the center of a sphere |
| Great circle | the intersection of a sphere and a plane that contains the center of the sphere |
| Hemisphere | half of a sphere |
| Similar solids | two solids with equal ratios of corresponding linear measures |
