| Term | Definition |
| polyhedron | a solid formed by polygons that enclose a single region of space |
| faces | the flat polygonal surfaces of a polyhedron |
| edge | a segment where two faces intersect |
| vertex of the polyhedron | the point of intersection of three or more edges |
| tetrahedron | a polyhedron with four faces |
| hexahedron | a polyhedron with six faces |
| heptahedron | a polyhedron with seven faces |
| decahedron | a polyhedron with ten faces |
| dodecahedron | a polyhedron with twelve faces |
| regular polyhedron | each face of the polyhedron is enclosed by a regular polygon, and each face is congruent to the other faces, and the faces meet at each vertex in the exact same way |
| prism | has two faces called bases, that are congruent, parallel polygons |
| lateral faces | the sides of a prism that aren't bases |
| right prism | a prism whose lateral faces are rectangles |
| oblique prism | a prism that is not a right prism |
| altitude of a prism | any perpendicular segment from one base to the plane of the other base |
| height of a prism | the length of the altitude |
| pyramid | a polyhedron with one base, the other sides are lateral faces and meet to form lateral edges |
| vertex of the pyramid | the common intersection point of the lateral faces |
| altitude of a pyramid | the perpendicular segment from its vertex to the plane of the base |
| sphere | the set of all points in space at a given distance from a given point |
| radius of the sphere | the given distance |
| center of the sphere | the given point |
| hemisphere | half of a sphere and its circular base (which is a great circle of the sphere) |
| cylinder | has two circular bases that are both parallel and congruent |
| axis of the cylinder | the segment connecting the centers of the bases |
| radius of the cylinder | the radius of the base |
| altitude of the cylinder | any perpendicular segment from the plane of one base to the plane of the other, the length is called the height |
| right cylinder | if the axis of the cylinder is perpendicular to the base |
| oblique cylinder | a cylinder that is not a right cylinder |
| cone | has a circular base and a vertex |
| radius of the cone | the radius of the base |
| vertex of the cone | the point that is the greatest perpendicular distance from the base |
| altitude of the cone | the perpendicular segment from the vertex to the plane of the base, the length of which is called the height |
| right cone | a cone with the line segment connecting the vertex of the cone to the center of the base that is perpendicular to the base |
| oblique cone | a cone that is not a right cone |