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SURFACEAREASANDVOLUMES
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
1.INTRODUCTION
1.Reviewfrompreviousclass
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
1.INTRODUCTION
2.Cuboid
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
1.INTRODUCTION
3.Cube
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
1.INTRODUCTION
4.RightCircularCylinder
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
1.INTRODUCTION
5.RightCircularhollowcylinder
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
1.INTRODUCTION
6.RightCircularCone
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
1.INTRODUCTION
7.SphereandHemisphere
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
1.INTRODUCTION
8 8.SphericalShell
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
2.CONVERSIONOFSOLIDS
1.Conversionof cube into cuboidby Joining :Twocubeseachof 10 cmedgearejoinedendtoend.Findthesurfaceareaandvolumeofcuboid.
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
2.CONVERSIONOFSOLIDS
2.Conversionof cubesbyMeltingandRecasting :Threecubesaremelted,whoseedges are to form a single cube. Find its edge; volume andsurfacearea.
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
2.CONVERSIONOFSOLIDS
3.ConversionofSphereintocylinder:Thediameterofmetallicsphereis6cm.It ismeltedanddrawnintoawirehavingdiameterofthecrosssectionas0.2cm.Findthelengthofthewire.
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
2.CONVERSIONOFSOLIDS
4.WaterFlowProblems :ACylindericalpipehas innerdiameterof7cmandwaterflowsthroughitat192.5litresperminute.Findtherateofflowinkilometersperhour.
3cm, 4cm and 5cm
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
2.CONVERSIONOFSOLIDS
5.ConversionofSolidbyMeltingandRecasting
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
2.CONVERSIONOFSOLIDS
6.ConversionofSolidbyshapechange
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
2.CONVERSIONOFSOLIDS
7.Raiseinwaterlevelproblems:Acylindricaltubofradius12cmcontainswatertoadepthof20cm.Asphericalformballofaradius9cmisdroppedintothetubandthusthelevelofwaterisraisedbyHcm.WhatisthevalueofH?
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
3.SURFACEAREASANDVOLUMESOFCOMBINATIONSOFSOLIDS
1.Combinationofcylinderandcone:ACirculartentiscylindricaluptoaheightof3mandconicalabove it. If thediameterof thebase is105mandtheslantheightof theconicalpartis53m;findthetotalcanvasusedinmakingthetent.
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
3.SURFACEAREASANDVOLUMESOFCOMBINATIONSOFSOLIDS
2.Combinationofsphereandcone:Arightcircularcylinderhavingdiameter12cmandheight15cmisfullofice-cream.Theicecreamistobefilledinconesofheight12cmanddiameter6cmhavingahemisphericalshapeonthetop.Findthenumberofconeswhichcanbefilledwithice-cream.
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
3.SURFACEAREASANDVOLUMESOFCOMBINATIONSOFSOLIDS
3.Combinationofcubeandcone:Findthevolumeofthelargestrightcircularconethatcanbecutoutofacubewhoseedgeis9cm.
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
3.SURFACEAREASANDVOLUMESOFCOMBINATIONSOFSOLIDS
4.Combinationofcylinderandhemisphere :Asolid is in the formofacylinderwithhemisphericalends.Thethewholelengthofthesolidis108cmandthediameterofthehemisphericalendsis36cm;Findthecostofpolishingthesurfaceofthesolidsattherateof7paisepersq.cm.
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
3.SURFACEAREASANDVOLUMESOFCOMBINATIONSOFSOLIDS
5.ARight trianglewhosesidesare15cmand20cm; ismade to revolveabout itshypotenuse.Findthevolumeandsurfaceareaofthedoubleconesoformed.
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
3.SURFACEAREASANDVOLUMESOFCOMBINATIONSOFSOLIDS
6. combinations of more than two solids : A solid is in the form of a hemispheresurmountedbyarightcircularcone.Heightoftheconeis2cmandthediameterofthebaseis4cm.Ifarightcircularcylindercircumscribesthesolid.Findhowmuchmorespaceitwillcover.
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
4.FRUSTUMOFRIGHTCIRCULARCONE
1.WhatisFrustum?HeightandslantheightofFrustum.
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
4.FRUSTUMOFRIGHTCIRCULARCONE
2.VolumeofaFrustum
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
4.FRUSTUMOFRIGHTCIRCULARCONE
3.SurfaceAreaofaFrustum
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
254.FRUSTUMOFRIGHTCIRCULARCONE
4.Importantpointsforfrustum
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
5.EXAMPLESOFFRUSTUM
1.AHollowconeiscutbyaplaneparalleltothebaseandupperportionisremoved.Ifthecurvedsurfaceof the remainder is8/9of thecurvedsurfaceof thewholecone;findtheratiooftheline-segmentintowhichthecone'saltitudeisdividedbytheplane.
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
5.EXAMPLESOFFRUSTUM
2.Ashuttle cockused forplayingbadmintonhas theshapeofa frustumofa conemountedonahemisphere.Thediametersoftheendsofthefrustumare5cmand2cm;theheightoftheentireshuttlecockis7cm.Findtheexternalsurfacearea.
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CONCEPTFORBOARDS||ChapterSURFACEAREASANDVOLUMES
5.EXAMPLESOFFRUSTUM
3.Anoilfunnelmadeoftinsheetconsistsofa10cmlongcylindricalportionattachedtoafrustumofacone.Ifthetotalheightis22cm;diameterofthecylindricalportionis8cmandthediameterofthetopofthefunnelis18cm;findtheareaofthetinsheetrequiredtomakethefunnel.
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