surface area & volumes for demo

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Superb Presentation of Surface area & Volume... must watch

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Surface area and volume of 3-dimensional Figures: 

Surface area and volume of 3-dimensional Figures Prepared by: Naveen kumar TGT(Maths) KV, Andrews Ganj

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Top Right Side Front Bottom Top Front Back Right Side Left Side Cuboid A Cuboid has 6 faces.. Each face is a rectangle . Front

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face face face Cube is also having 6 faces ( Here three faces are visible ) 1 2 3 Dice (Pasa) cube

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Surface area = Area of all six faces = 6a 2 a Surface area Cube cuboid Surface area = Area of all six faces = 2(lxb + bxh +hxl) a a a (Here all the faces are square) (Here all the faces are rectangular) h l b

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Area of base (Rectangle) = l x b l Height of cuboid = h Volume of cuboid = Area of base x height = (l x b) x h =lXbXh h Volume of cuboid Front b

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Volume of Cube a a Area of base (square) = a 2 Height of cube = a Volume of cube = Area of base x height = a 2 x a = a 3 a a a

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2 π r h r h Curved Surface area of cylinder = Area of rectangle= 2 π rh Method of Finding Curved Surface area of Cylinder r

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Total Surface Area of a Cylinder = (2 π r) x( h) + 2 π r 2 Curved surface Area of curved surface + area of two circular surfaces circular surfaces = 2 π r( h+ r)

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Volume of cylinder Volume of cylinder = Area of base x vertical height = π r 2 xh r h

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Curved Surface Area of Cone Base r h l = Slant height Curved Surface Area of a Cone = π r l where l = √ ( r²+h ² )

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3( V ) = π r 2 h r h h r Volume of a Cone Here the vertical height and radius of cylinder & cone are same. 3( volume of cone) = volume of cylinder V = 1/3 π r 2 h

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If both cylinder and cone have same height and radius then volume of a cylinder is three times the volume of a cone , Volume = 3V Volume =V

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4( 1/3 π r 2 h ) = 4( 1/3 π r 3 ) = V h=r r Volume of a Sphere Here the vertical height and radius of cone are same as radius of sphere . 4( volume of cone) = volume of Sphere V = 4/3 π r 3 r

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Surface area 6a 2 2 π rh π r l 4 π r 2 Volume a 3 π r 2 h 1/3 π r 2 h 4/3 π r 3 Comparison of Area and volume of different geometrical figures

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Thanks

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Circumference of circle = 2 π r Area covered by cylinder = curved Surface area of of cylinder = (2 π r) x( h) r h Method of finding Curved Surface area of cylinder It is the area covered by the outer surface of a cylinder. Formation of Cylinder by bangles Circumference of circle = 2 π r r