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Surface area and volume of 3-dimensional Figures

Surface area and volume of 3-dimensional Figures. Cuboid A Cuboid has 6 faces. Front. Top. Right Side. Front. Back. Each face is a rectangle. Left Side. Bottom. Right Side. Front. Top. face. face. face. 1. Dice (Pasa). 3. 2. cube.

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Surface area and volume of 3-dimensional Figures

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  1. Surface area and volume of 3-dimensional Figures

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

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

  4. Surface area Cube cuboid a a a h a b l (Here all the faces are square) (Here all the faces are rectangular) Surface area = Area of all six faces = 6a2 Surface area = Area of all six faces = 2(lxb + bxh +hxl)

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

  6. Volume of Cube a a a a a Area of base (square) = a2 Height of cube = a Volume of cube = Area of base x height = a2 x a = a3

  7. r Method of Finding Curved Surface area of Cylinder h h 2πr r Curved Surface area of cylinder = Area of rectangle= 2πrh

  8. Total Surface Area of a Cylinder Curved surface circular surfaces Area of curved surface + area of two circular surfaces =(2 π r) x( h) + 2 π r2 = 2 π r( h+ r)

  9. Volume of cylinder r h Volume of cylinder = Area of base x vertical height = π r2 xh

  10. Curved Surface Area of Cone l = Slant height h Base r Curved Surface Area of a Cone = π rl where l = √ ( r²+h² )

  11. Volume of a Cone h h Here the vertical height and radius of cylinder & cone are same. r r 3( volume of cone) = volume of cylinder 3( V) = π r2h V = 1/3 π r2h

  12. 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

  13. Volume of a Sphere r r Here the vertical height and radius of cone are same as radius of sphere. h=r 4( volume of cone) = volume of Sphere 4( 1/3πr2h) = 4( 1/3πr3 ) = V V = 4/3 π r3

  14. Comparison of Area and volume of different geometrical figures

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

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