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NorthCrawfordGeoCh11
Surface Area and Volume
| Term | Definition |
|---|---|
| Polyhedron | a space figure, or three-dimensional figure, whose surfaces are polygons. |
| Edge | A segment that is formed by the intersection of two faces. |
| Vertex | A point where three or more edges intersect. |
| Cross section | The intersection of a solid and a plane. |
| Prism | A polyhedron with two congruent, parallel faces, called bases. |
| Lateral faces | The faces that aren't bases. |
| Altitude of a Prism | A prism is a perpendicular segment that joins the planes of the bases. |
| Height of a Prism | Length of an altitude of a prism. |
| Right prism | The lateral faces are rectangles and a lateral edge is an altitude. |
| Oblique prism | Some or all of the lateral faces are non-rectangular. |
| Lateral area | The sum of the areas of the lateral faces. |
| Surface area | The sum of the lateral area and the area of the two bases. |
| Cylinder | Solid that has two congruent parallel bases that are circles. |
| Altitude of a Cylinder | Perpendicular segment that joins the planes of the bases. |
| Height of a Cylinder | The length of an altitude. |
| Right Cylinder | Segment joining the centers of the bases is an altitude. |
| Oblique Cylinder | Segment joining the centers is not perpendicular to the planes containing the bases. |
| Surface Area of a Cylinder | The sum of the lateral area and the areas of the two circular bases. |
| Pyramid | A polyhedron in which one face (the base) can be any polygon and the other faces (she lateral faces) are triangles that meet at a common vertex (called the vertex of the pyramid). |
| Similar solids | Has the same shape, an all their corresponding dimensions are proportional. |
| Sphere | Set of all points in space equidistant from a given point called the center. |
| Volume | The space that a figure occupies. |