Math Humor What happened to the 3D figure who robbed a bank? He got sent to prism.

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Presentation transcript:

LT 10.5: Know and apply Surface Area and volume for Prisms and Cylinders,

Math Humor What happened to the 3D figure who robbed a bank? He got sent to prism

lateral face A face of a prism or a pyramid that is not a base. lateral edge An edge of a prism or a pyramid that is not a base. right prism A prism whose lateral faces are all rectangles. oblique prism A prism that has at least one nonrectangular lateral face.

altitude of a prism A segment with its endpoints on the planes of the bases that is perpendicular to the planes of the bases. The height of a three-dimensional figure is the length of an altitude.

The net of a right prism can be drawn so that the lateral faces form a rectangle with the same height as the prism.

surface area The total area of all faces and curved surfaces of a three-dimensional figure. lateral area The sum of the areas of the lateral faces of a prism or pyramid, or the area of the lateral surface of a cylinder.

Find the surface area of the right rectangular prism Find the surface area of the right rectangular prism. Round to the nearest tenth, if necessary. 2(63) + 2(98) + 2 (126) 574 ft3

Find the surface area of the right triangular prism Find the surface area of the right triangular prism. Round to the nearest tenth, if necessary. Triangle = 150 x 2 Bottom = 500 Slant = 625 Right = 375 Total = 1800 m3 25m c 15m 20m

lateral surface The curved surface of a cylinder or cone. axis of a cylinder The segment with endpoints at the centers of the two bases. right cylinder A cylinder whose axis is perpendicular to its base. oblique cylinder A cylinder whose axis is not perpendicular to the bases.

Example 3 LA = 2(∏)(8)(10) 160 ∏ in2 Bottom = 64 ∏ Total = 288 ∏ in2 Find the lateral area and surface area of the right cylinder. Give your answers in terms of .

Find the volume of the prism to the nearest tenth (39)5 195 cm3

Find the volume of a triangular prism with a height of 9 yd whose base is a right triangle with legs 7 yd and 5 yd long. Base = 17.5 height = 9 Volume = 157.5 yd3

Find the volume of the cylinder Find the volume of the cylinder. Give your answers in terms of  and rounded to the nearest tenth. Base = 254.34 Height = 14 Total = 4578.1 in3