Chapter 10: Area & Volume 10.4, 10.5, 10.6 Space Figures Surface Area of Prisms, Cylinders, Pyramids, Cones, and Spheres.

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Chapter 10: Area & Volume 10.4, 10.5, 10.6 Space Figures Surface Area of Prisms, Cylinders, Pyramids, Cones, and Spheres

Space Figures common three-dimensional figures prisms:two parallel bases that are congruent polygons, lateral faces that are parallelograms

Space Figures Pyramids:base that is a polygon, lateral faces are triangles Cylinders:two parallel bases that are congruent circles

Space Figures Cones:one circular base and one vertex Sphere: set of all points in space that are a given distance from a given point called the center

Example 1 For each figure, describe the bases and name the figure.

Example 2 Name the space figure you can form from each net:

Example 2a Name the space figure you can form from each net:

Surface Area abbreviated S.A. sum of the areas of the base(s) and the lateral faces of a space figure one way to find it: find the area of each piece of the space figure’s net

Example 1 Find the surface area of the rectangular prism using a net.

Example 1a Find the surface area of the triangular prism:

Example 2 Find the surface area of the triangular prism at the right.

Surface Area of a Prism lateral area:LA = ph –perimeter of base times height surface area:SA = LA + 2B –lateral area plus the area of the two bases

Surface Area of a Cylinder lateral area:LA = 2πrh –twice pi times the radius of the base times the height surface area:SA = LA + 2B

Example 3 Find the surface area of the can:

Example 3a Find the surface area of a can with radius 5 cm and height 20 cm.

Surface Area of a Pyramid lateral area:LA = ½ pl –½ perimeter of the base times the slant height surface area:SA = LA + B –lateral area plus the area of the base

Example 1 Find the surface area of the square pyramid:

Surface Area of a Cone lateral area:LA = πrl –pi times radius times slant height surface area:SA = LA + B –lateral area plus area of the base

Example 2 Find the surface area of the cone:

Surface Area of a Sphere

Example 3 Calculate the surface area of a basketball:

Homework p. 541:2-12 even, p. 548:4-12 all p. 555:1-12 all