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Chapter 12 vocab
Surface area and volume of solids
Term | Definition |
---|---|
polyhedron | A solid that is bounded by polygons, called faces, that enclose a single region of space |
platonic solids | Five regular polyhedrons, named after the Greek mathematician and philosopher Plato |
cross selection | The intersection of a plane and a solid |
prism | A polyhedron with two congruent faces, called bases, that lie in parallel planes |
surface area | The sum of the area of the faces of a polyhedron or other solid |
lateral area | The sum of the areas of the lateral faces of a polyhedron or other solids with one or two bases |
net | The two-dimensional representation of the faces of a polyhedron |
right prism | A prism in which each lateral edge is perpendicular to both bases |
oblique prism | A prism with lateral edges that are not perpendicular to the bases |
cylinder | A solid with congruent circular bases that lie in parallel planes |
right cylinder | A cylinder in which the segment joining the center of the bases is perpendicular to the bases |
pyramid | A polyhedron where the base is a polygon and the lateral faces are triangles with a common vertex |
regular pyramid | A pyramid that has a regular polygon as a base and in which the segments joining the vertex and the center of the base is perpendicular to the base |
cone | A solid that has one circular base and a vertex that is not in the same plane as the base |
right cone | A cone in which the segment joining the vertex and the center of the base is perpendicular to the base |
volume | The number of cubic units contained in the interior of a solid |
sphere | The set of all points in space equidistant from a given point called the center of the sphere |
great circle | The intersection of a sphere and a plane that contains the center of a sphere |
hemisphere | Half of a sphere, formed when a great circle separates a sphere into two congruent halves |
similar solids | Two solids of the same type with equal ratios of corresponding linear measures |