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English6.2SpanishSurface Areas of PrismsHow can you use a net to find the surfaceSSTATESTANDARDSarea of a prism?BaseMA.7.G.2.1BaseLateral FaceLateral FaceRectangular PrismTriangular PrismThe surface area of a prism is the sum of the areas of all its faces.A two-dimensional representation of a solid is called a net .1ACTIVITY: Surface Area of a Right Rectangular PrismWork with a partner.a. Use the net for the rectangular prism to find its surface alFace65Base3b. Copy the net for a rectangular prism. Label each side as h, w, or ℓ.Then use your drawing to write a formula for the surface area of arectangular prism.hw256Chapter 6Surface Areas of Solids

EnglishSpanish2ACTIVITY: Finding Surface AreaWork with a partner. Find the surface area of the solid shown by the net.Copy the net, cut it out, and fold it to form a solid. Identify the solid.434353433. IN YOUR OWN WORDS How can you use a net to find the surfacearea of a prism? Draw a net, cut it out, and fold it to form a prism.4. The greater the surface area of an ice block, the faster it will melt.Which will melt faster, the bigger block or the three smaller blocks?Explain your reasoning.3 ft1 ft1 ft1 ft1 ft1 ftUse what you learned about the surface area of a prism to completeExercises 6 – 8 on page 260.Section 6.2Surface Areas of Prisms257

EnglishSpanishLesson6.2Lesson TutorialsKey Vocabularysurface area, p. 256net, p. 256Surface Area of a Rectangular PrismWordsThe surface area S of a rectangular prism is the sum of theareas of the bases and the lateral eralfacehwbaseS 2ℓw 2ℓh 2whAlgebraArea ofbasesEXAMPLE1Area oflateral facesFinding the Surface Area of a Rectangular PrismFind the surface area of the prism.3 in.Draw a net.5 in.S 2ℓw 2ℓh 2wh6 in.5 in.5 in. 3 in. 2(3)(5) 2(3)(6) 2(5)(6)6 in. 30 36 605 in. 1263 in.The surface area is 126 square inches.Find the surface area of the prism.Exercises 9–111.2.4 ft5m8m3 ft2 ft258Chapter 6MSFL7PE 0602.indd 2588mSurface Areas of Solids10/20/09 3:31:35 PM

EnglishSpanishSurface Area of a PrismThe surface area S of a prism is the sum of the areas of the bases andthe lateral faces.S areas of bases areas of lateral facesEXAMPLE2Finding the Surface Area of a Triangular PrismFind the surface area of the prism.5mDraw a net.4m3m3m6m4m5m6m4m3mRememberThe area A of a trianglewith base b and heightArea of a base12Areas of lateral faces Purple lateral face: 5 6 30Blue lateral face: 4 6 24Green lateral face: 3 6 18 Red base: — 3 4 612h is A — bh.Add the areas of the bases and the lateral faces.S areas of bases areas of lateral faces 6 6 18 30 24There are two identicalbases. Count the area twice. 84The surface area is 84 square meters.Find the surface area of the prism.Exercises 12–143. 5 m4.12 m4 cm3m5 cm13 m4 cm3 cmSection 6.2Surface Areas of Prisms259

EnglishSpanishExercises6.2Help with Homework1. OPEN-ENDED Describe a real-world situation in which you would wantto find the surface area of a prism.Find the indicated area for the rectangular prism.Face BFace C2. Area of Face AFace A4 cm3. Area of Face B3 cm4. Area of Face C6 cm5. Surface area of the prism6) 39 (- 3) 3 (- 9) 4 (- 1)9 (-Draw a net for the prism. Then find the surface area.6.7.3 in.8.7m4 cm4 in.5 cm5 in.6m3m5 cm3 cmFind the surface area of the prism.19.1 ft10.11.5 yd3 cm5 ft4 yd10 ft2 yd9 cm6 cm2 12.2.2 ft13.14.5m5.7 mm3 mm5m2 ft3 ft4m1 ft7m4 mm4 mm6m15. GIFT BOX What is the least amount of wrapping paperneeded to wrap a gift box that measures 8 inches by8 inches by 10 inches? Explain.5 ft5 ft16. TENT What is the least amount of fabric neededto make the tent?7 ft260Chapter 6Surface Areas of Solids6 ft4 ft

EnglishSpanishFind the surface area of the prism.17.12 in.18.4 in.3 in.5 in.2.5 m2m5 in.6 in.4m4m19. AQUARIUM A public library has an aquarium in theshape of a rectangular prism. The base is 6 feet by2.5 feet. The height is 4 feet. How many square feetof glass were used to build the aquarium? (The topof the aquarium is open.)20. STORAGE BOX The material used to make astorage box costs 1.25 per square foot. Theboxes have the same volume. How muchdoes a company save by choosing to make50 of Box 2 instead of 50 of Box 1?251ft12LengthWidthHeightBox 120 in.6 in.4 in.Box 215 in.4 in.8 in.21. RAMP A quart of stain covers100 square feet. How many quartsshould you buy to stain the wheelchairramp? (Assume you do not have tostain the bottom of the ramp.)25 in.5 ft25 ft3 in.22. LABEL A label that wraps around a box of golf balls covers75% of its lateral surface area. What is the value of x?23.Write a formula for the surface areaof a rectangular prism using the height h, theperimeter P of a base, and the area B of a base.Find the perimeter.24.2 in.872 in.xSKILLS REVIEW HANDBOOK25.121026.1211119912141227. MULTIPLE CHOICE The class size increased 25% to 40 students. What was theoriginal class size?SECTION 4.2A 10 B 30 C 32 Section 6.2D 50 Surface Areas of Prisms261

Copy the net for a rectangular prism. Label each side as h, w, or ℓ. Then use your drawing to write a formula for the surface area of a rectangular prism. h w 1 ACTIVITY: Surface Area of a Right Rectangular Prism Lateral Face Base Rectangular Prism Triangular Prism The surface area of a

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