6.6 Surface Areas Of Composite Solids - Big Ideas Learning
EnglishSpanish6.6Surface Areas of Composite SolidsHow can you find theSSTATESTANDARDSsurface area of a composite solid?MA.7.G.2.21ACTIVITY: Finding a Surface AreaWork with a partner. You are manufacturing scale models of old houses.a. Name the four basicsolids of thiscomposite figure.Front View18 in.b. Determine a strategy forfinding the surface areaof this model. Wouldyou use a scale drawing?Would you use a net?Explain.60 in.36 in.Many castles have cylindricaltowers with conical roofs.These are called turrets.36 in.24 in.Top View282Chapter 6Surface Areas of Solids16 in.
EnglishSpanish2ACTIVITY: Finding and Using a PatternWork with a partner.3 Find the surface area of each figure. Use a table to organize your results. Describe the pattern in the table. Use the pattern to find the surface area of the figurethat has a base of 10 blocks.ACTIVITY: Finding and Using a PatternWork with a partner. You own a roofing company. Each building has thesame base area. Which roof would be cheapest? Which would be the mostexpensive? Explain your rdhipcross-gabled4. IN YOUR OWN WORDS How can you find the surface area of acomposite solid?5. Design a building that has a turret and also has a mansard roof.Find the surface area of the roof.Use what you learned about the surface area of a composite solidto complete Exercises 6 – 8 on page 286.Section 6.6Surface Areas of Composite Solids283
English6.6SpanishLessonLesson TutorialsA composite solid is a figure that is made up of more than one solid.Key Vocabularycomposite solid,p. 284cylinderconecomposite solidEXAMPLEIdentifying Solids1Identify the solids that make up Fort Matanzas, Florida.RectangularprismCylinderApproximately arectangular prismEXAMPLE20 in.Standardized Test Practice27 in.10 in.You painted the steps to an apartment green. What is the surface areathat you painted?A 210 in.2 7 in.B 408 in.2 C648 in.2 D 1056 in.2 Find the area of each green face.24 in.Green area on top step:A 20(24) 7(24) 648 in.220 in.24 in.7 in.10 in.7 in.Green area on bottom step:A 10(24) 7(24) 408 in.224 in.You painted 648 408 1056 square inches.The correct answer is D .Exercises 3–5284Chapter 61. WHAT IF? In Example 2, you also painted the sides of thesteps green. What is the surface area that you painted?Surface Areas of Solids
EnglishSpanishEXAMPLE3Finding the Surface Area of a Composite SolidFind the surface area of the composite solid.8mThe solid is made up of a square prism and asquare pyramid. Use the surface area formulasfor a prism and a pyramid, but do not includethe areas of the sides that overlap.4m6m8m6mDo not include the top base ofthe prism in the surface area.4m6m6m6m6mDo not include the base of thepyramid in the surface area.Square prismS ℓw 2ℓh 2whWrite formula. 6(6) 2(6)(4) 2(6)(4)Substitute. 36 48 48Multiply. 132Add.Square pyramidS areas of lateral faces(12 4 — 6 8Write formula.)Substitute. 96Multiply.Find the sum of the surface areas: 132 96 228.The surface area is 228 square meters.Exercises 6–11Identify the solids that make up the composite solid. Then findthe surface area. Round your answer to the nearest tenth.2.5 yd3.4 cm3 yd5 cm5 yd3 cm5 cm3 cmSection 6.6Surface Areas of Composite Solids285
EnglishSpanishExercises6.6Help with Homework1. OPEN-ENDED Draw a composite solid formed by atriangular prism and a cone.7 in.2. REASONING Explain how to find the surface area ofthe composite solid.10 in.4 in.6) 39 (- 3) 3 (- 9) 4 (- 1)9 (-Identify the solids that form the composite solid.13.4.5.Identify the solids that form the composite solid. Then find the surface area.Round your answer to the nearest tenth.236.7.4 ft4 in.8.8m8m4 in.3 ft4m10 m6 ft5 in.6 ft5 in.5 in.9.10. 7 in.2 cm8 in.11.8 ft2.5 cm2 ft2 cm2.5 cm8 in.10 in.4 ft3 cm6 cm5 ft12 ft5 cm6.9 in.8 in.12. OPEN-ENDED The solid is made using eight cubeswith side lengths of 1 centimeter.a. Draw a new solid using eight cubes that has asurface area less than that of the original solid.b. Draw a new solid using eight cubes that hasa surface area greater than that of the original solid.286Chapter 6Surface Areas of Solids
EnglishSpanish13. BATTERIES What is the percent increase in the surface area of the AAA batteryto the AA battery? Round your answer to the nearest tenth of a percent.AA batteryAAA battery0.8 mm3.8 mm1 mm43 mm49 mm5.5 mm10 mm14 mm1.75 in.5 in.14. BARBELL The diameter of the handle of a barbell is 1 inch.The hexagonal weights are identical. What is the surfacearea of the barbell?1.5 in.2 in.3.5 in.REASONING Find the surface area of the solid. Round your answer to the nearest tenth.15. 4 in.2 in.1 ft16.17.4 ft7 mm5 ft10 in.24 mm25 mm4 ft10 mm8 ft18.The cube is made with 27 identical cubes. All cubes thatcannot be seen are orange. Is the surface area of the solid formedwithout the purple cubes greater than, less than, or equal to thesurface area of the solid formed without the green cubes? Explainyour reasoning.Find the area. SKILLS REVIEW HANDBOOK19.20.21.4 cm2 ft5 in.8 cm5 ft7 in.12 in.22. MULTIPLE CHOICE A cliff swallow nest is 86 meters above a canyon floor.The elevation of the nest is 56 meters. What is the elevation of the canyonfloor?SECTION 2.4A 142 B 30 C 30 Section 6.6D 142 Surface Areas of Composite Solids287
284 Chapter 6 Surface Areas of Solids 6.6 Lesson 20 in. 7 in. 10 in. 7 in. 24 in. A composite solid is a fi gure that is made up of more than one solid. composite solid cylinder cone Key Vocabulary composite solid, p. 284 EXAMPLE 2 Standardized Test Practice Lesson Tutorials EXAMPLE 1 Identifying Solids
Section 6.2 Surface Areas of Prisms 259 Surface Area of a Prism The surface area S of a prism is the sum of the areas of the bases and the lateral faces. S areas of bases areas of lateral faces EXAMPLE 2 Finding the Surface Area of a Triangular Prism Find the surface area of the prism. Draw a net. 4 m 3 m 5 m 4 m 6 m 3 m Add the areas of the bases and the lateral faces.
Aug 26, 2009 · EXAMPLE 2 Finding the Surface Area of a Triangular Prism Find the surface area of the prism. Draw a net. 4 m 3 m 5 m 4 m 6 m 3 m Add the areas of the bases and the lateral faces. S areas of bases areas of lateral faces 6 6 18 30 24 84 The surface area is 84 square meters. Find the surface are
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Importance of Surface Finish Title. Lotus Leaf . Surface Topography of Lotus Leaf. Surface Integrity Surface Topography Surface Roughness Profile Surface Metallurgy Sub surface material characteristics . - Peak to Valley measure L m R R q R a T. Amplitude Based Parameters Limitations
variations in surface characteristics, and it is important for engineers to understand the technology of surface. The most commonly used measure of surface texture is surface roughness. Withrespected to figure 1.2, surface roughness can be defined as the average of vertical deviations from nominal surface over a specified surface length.
ect. For concrete, SSPC-SP 13/ NACE No. 6, Surface Preparation of Concrete, defines surface preparation as “[t]he method or combination of methods used to clean a concrete surface, remove loose and weak materials and contaminants from the surface, repair the surface, and roughen the surface
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surface roughness can be seen in Figures 3 through 5 as examples of the observations. Fig. 4. Example of a surface with relatively average surface roughness. (0.335 μm) Fig. 3. Example of a surface with relatively low surface roughness. (0.141 μm) Table 1. 3D Surface roughness parameters Parameters Name Definition Comments Sa Average Roughness
