Geometry

Definitions: Prism: a solid having bases or ends that are parallel, congruent polygons and sides that are parallelograms. Base: the line or surface forming the part of a figure that is most nearly horizontal or on which it is supposed to stand Face: any of the bounding surfaces of a solid figure Lateral Face:a face perpendicular to the bases. Edge: the place where two faces meet Surface Area: the area of all of the faces combined. Right Prism: a prism whose bases are parallel. Oblique prism: A prism whose bases are not parallel Lateral area: The combined area of all lateral faces Pyramid: a solid having a polygonal base with triangular sides leading to one point. Regular Pyramid: A pyramid whose lateral edges are all equal in length Vertex of a pyramid: the point where the triangular sides of a pyramid meet Altitude of a pyramid: the distance from a pyramid's vertex perpendicular to the base. Net: A 2-D figure that can be folded on its lines to make a 3-D figure

Volume formulae: Pyramid: 1/3BH Cylinder: pi times r squared times height Cone: 1/3 pi times r squared times height Sphere: 4/3 pi times the radius cubed Surface Area of a Pyramid: Base + 2bh Surface Area of a Cylinder: 2 pi times radius squared plus 2 pi r times height Surface area of a cone: pi times radius times side height plus pi times radius squared Surface area of a sphere: 4 pi times the radius squared

Shapes: Tetrahedron: 4 edges, 6 vertices, 4 faces Cube: 6 faces, 8 vertices, 12 edges Octahedron: 8 faces, 12 edges, 6 vertices Icosahedron: 20 faces, 30 edges, 12 vertices Dodecahedron: 12 faces, 30 edges, 20 vertices