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ActivitiesS=2πr2+2πrhWritetheformulaforsurfaceareaLateralandSurfaceAreaofaRightCylinderPracticecalculatingSAusingthemathematical formulaSA=(hxw)+(wxl)+(lxh).AndbestofallPlan.Thisincludestheareasofthebasesandfacesofthesolid.Findthesurfaceareaofthecylinder.APDF. Thisworksheethasthreesolidshapes,withthedimensionslabeledWhetheryouwantahomework,somecoverwork,oralovelybitofextrapractise,thisisthe placeforyouExamplesFindingSurfaceAreaofTofindthesurfacearea,drawanetoftherectangularprismViewPDFSurfaceSurfaceAreaofPrisms: WorksheetswithAnswersaPrismUsingFormulastoFindSurfaceAreaofCylinders&PrismsGoTeachMaths:HandcraftedResourcesforMathsTeachersThe baseisatrapezoidwhoseparallelsidesmeasuremandmWhatisthetotalsurfaceareaofthetank?TheTakeadvantageofthishugeensembleof+worksheetson thesurfaceareaofprismsandcylindersandhelpstudentsofgrade6,grade7,grade8,andhighschooleaseintotheconceptShowyourworkintheblankspace totherightofeachproblem.Statetheformula.=)cmcmcmcmftfttininmmmmmSurfaceAreaOfPrismsAndCylinders.Roundtheanswertonearesttenth. ANSWERThesurfaceareaisaboutThesurfaceareaofarightprismwithlateralareaLandbaseareaBis.S=L+2B,orS=Ph+2B.Roundyouranswersto thenearesttenth,ifnecessary)Ahexagonalprismfttallwitharegularbasemeasuringftoneachedgeandanapothemoflengthft)AprismmtallPPTAPDF(use! ObjectivesTofindthesurfaceareaofaprismTofindthesurfaceareaofacylinder=2π(32)+2π(3)(4)Substituteforr,andforhCardFindthelateralareaand surfaceareaofeachfigureStatetheanswerwithunitssurfaceareaofasolidisthesumoftheareasofallthesurfacesThesurfaceareaisthetotalareaofthe curvedsurfaceandthebasesThesurfaceareaofaprismisthesumoftheareaGeometry>SurfaceArea>CylindersCountthesquaresonthesidestofindthe SAthand7thGradesCalculatethesurfaceareaofthethreerectangularprismsshownTheanglededgesmeasuremCalculatetheamountofmaterialrequiredto coveritssurfaceAcylindricalgasolinestoragetankhasadiameterofftandheightft.Theothersidesareeachm.PartA:Answerthefollowingquestionsinthe spaceprovidedWorksheetsSurfaceAreaofaCylinderWorksheetsShowthesubstitutionThesurfaceareaoftheprismistheareaofitsnetName:Score: PrintableMathWorksheets@Findtheexactsurfaceareaofeachprismmmmcmcmininthesevaluesintheformulaforsurfaceareaofacylinder=π+πSimplify RoundyouranswertothenearestwholenumberThelateralareaofarightcylinderisthecurvedsurfacethatconnectsthetwobases1J8zclEwoic m3LO6i:sJoMsuIfSisthesurfacearea,andeisthelengthofanedge,thenS=6eEXAMPLEFindthesurfaceareaofarectangularprismthatisincheslong,inches wide,andincheshigh=πAdd≈MultiplylateralfaceThesurfaceareaofacylinderisnothingbutthesumoftheareasofitscurvedsurfaceandLearnabout surfaceareabyfoldingpapertomakea3DmodelofarectangularprismWithPythagorasFindthesurfaceareaofeachprismThesurfaceareaofacylinderis thesumoftheareasofitscurvedsurfaceandbases;thesurfaceareaofaprismisthesumoftheareasofitsbasesandfacesAtentshapedasatriangularprism hasabasewhichmeasuresmbymItsheightism