SURFACE AREA OF COMPOSITE FIGURES

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5SURFACE AREA OF COMPOSITE FIGURESWHAT YOU’LL LEARN1) Identify the different types of figures that make up the solid.2) Identify what parts of each figure are on the surface of the solid.3) Calculate the surface area of composite shapes.Find the surface area of the figure below:1.Identify the parts of the solid on the surface.Find the area of the base.ABase 10(10) 100Find the lateral area of the prism.LAPr ism Pbase hLAPr ism 4(10)(32) 1280Find the lateral area of the pyramid.1LAPyramid Pbase h21LAPyramid (40)(12) 2402Find the sum of all three parts.S.A. 1280 240 100The surface area of the composite solid is 1620 square feet.!

PRACTICE TEST:Find the Surface Area of the following. Write your complete solutions, finalanswers correct to two decimal places. Use pi in your calculator.2.1.3.4.1.5.6.

APPLICATIONS:Solve the following problems completely. Write your final answers correct totwo decimal places. Use pi in your calculator.1) Yanna celebrated her fifth birthday. She ate at her favorite restaurant.She ordered a soda pop. The soda pop came in a cup shaped like acylinder with a cone top. The cylinder part of the cup was 6 inches talland the height of the top was 2 inches. The radius of the cup was 2inches. What was the surface area of the cup?2) James wants to paint his grain silo. The diameter of the silo is 8 meters.The height of the cylindrical part is 12 meters. The slant height of thecone top is 4.5 meters.a. Calculate the surface area of the grain silo.b. A five-gallon bucket of paint covers 20 square meters. Howmany buckets of paint will James need?3) Shynna designed her perfect wedding cake. Shewants to have 3 layers with smooth white frosting onthe cake. The first layer will have a 24-inch diameter,the second layer will have an 18-inch diameter andthe top layer will have a 10-inch diameter. Each layerwill be 6-inches tall. How many square inches offrosting will show on the surface of the 214563/lib/14552011718214563/Lesson ent/ipe/grade%207/07/g7 07 05.pdf

6VOLUME OF COMPOSITE FIGURESWHAT YOU’LL LEARN1) Identify the different types of figures that make up the solid.2) Calculate the volume of composite shapes.Find the volume of the figure:Find the volume of the cylinder.V ! r 2hV ! (2)2 (1)V 4!Find the volume of the prism.Total Volume 4π 100V ! 112.57in 3!V lwhV 5(5)(4)V 100

PRACTICE TEST:Find the Volume of the following. Write your complete solutions, final answerscorrect to two decimal places. Use pi in your calculator.1.4.3.2.5.THINKING TIME:How is finding the volume and surface area of composite figures different fromfinding the volume and surface area of simple 718214563/lib/14552011718214563/Lesson ent/ipe/grade%207/07/g7 07 05.pdf

The surface area of the composite solid is 1620 square feet. SURFACE AREA OF COMPOSITE FIGURES 1) Identify the different types of figures that make up the solid. 2) Identify what parts of each figure are on the surface of the solid. 3) Calculate the surface area of composite shapes. WHAT YOU’LL LEARN 1. LA Prism P base h LA rism 4(10)(32 .

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