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Chapter Ten: |
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Geometry Notes Chapter 10 Section 10.1
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Take notes on the following topics.
Section 10-3 Surface Areas of Prisms and Cylinders Vocabulary Prism (p. 528) A prism is a polyhedron with two congruent and parallel faces, which are called the bases. The other faces, which are parallelograms, are called the lateral faces. An altitude of a prism is a perpendicular segment that joins the planes of the bases. Its length is the height of the prism. A right prism is one whose lateral faces are rectangular regions and a lateral edge is an altitude. In an oblique prism, some or all of the lateral faces are nonrectangular. Lateral area (p. 528) The lateral area of a prism is the sum of the areas of the lateral faces. Surface area of a prism (p. 528) The surface area of a prism is the sum of the lateral area and the areas of the bases. Cylinder (p. 530) A cylinder is a three-dimensional figure with two congruent circular bases that lie in parallel planes. An altitude of a cylinder is a perpendicular segment that joins the planes of the bases. Its length is the height of the cylinder. In a right cylinder, the segment joining the centers of the bases is an altitude. In an oblique cylinder, the segment joining the centers of the bases is not perpendicular to the planes containing the bases. Lateral area of a cylinder (p. 530) The lateral area of a cylinder is the area of the curved surface. Surface area of a cylinder (p. 530) The surface area of a cylinder is the sum of the lateral area and the areas of the bases.
A list of formulas is on p. 727.
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