Math
A prism is a polyhedron with two congruent, parallel bases. An altitude of a prism is a perpendicular segment that joins the planes of the bases. The height, h, of the prism is the length of the altitude. Prism-right or oblique. In a right prism the lateral faces are rectangles and a lateral edge is and altitude. The lateral area of a prism is the sum of the areas of the lateral faces. Surface area is lateral area + area of two bases. Cylinder has two congruent parallel bases. Altitude of a cylinder is a perpendicular segment that joins the planes of the bases. The h of a cylinder = the length of an amplitude. A pyramid is a polyhedron in which on face (the base) can be any polygon and the other faces (the lateral faces) are triangles that meet at a common vertex. The altitude of a pyramid is the perpendicular segment from the vertex to the plane of the base. L of altitude is the height, h, of the pyramid. Slant height, l, is the length of the altitude of a lateral face of the pyramid A c one is like a pyramid, but its base is a circle. In a right cone the altitude is a perpendicular segment from the vertex to the center of the base. The height, h, is the length of the altitude. The slant height, l, is the distance from the vertex to a point on the edge of the base. Volume is space a figure occupies. A sphere is the set of a ll points in space equidistant from a given point called the center.
Theorem 6-1 – The lateral area of a right prism is the product of the perimeter of the base and the height. L.A. = ph. The surface area of a right prism is the sum of the lateral area and the areas of the two bases. S.A = L.A. + 2B.
Theorem 6-2 – The lateral area of a right cylinder is the product of the circumference of the base and the height of the cylinder L.A. = 2pirh, or L.A. = pidh. The surface area of a right cylinder is the sum of the lateral area and the areas of the two bases S.A. = L.A. + 2B.
Theorem 6-3 – The lateral area of a regular...
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