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Surface Area (PINK THEME)

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This PPT features a well explained theory / concepts / derivations of the formula of Surface Area of various 3D shapes : like cube, cuboid and cylinder with the help of expanded 3D shapes (called "nets").

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Surface Area (PINK THEME)

  1. 1. This shows that the outer surface of a cube is made up of six squares but in fact they are the faces of cube. So, Surface area of cube = Area of all six squares Surface area of cube = a2 + a2 + a2 + a2 + a2 + a2 Surface area of cube = 6a2
  2. 2. This shows that the lateral or curved surface of a cube is made up of four squares. So, Lateral or curved surface area of cube = Area four squares Lateral or curved surface area of cube = a2 + a2 + a2 + a2 Lateral or curved surface area of cube = 4a2
  3. 3. This shows that the outer surface of a cuboid is made up of six rectangles but in fact they are the faces of cuboid. So, Surface area of cuboid = Area of all six rectangles Surface area of cuboid = (lb)+(lb)+(bh) +(bh) + (hl) +(hl) Surface area of cuboid = 2(lb)+2(bh)+2(hl) Surface area of cuboid = 2(lb+bh+hl)
  4. 4. This shows that the lateral or curved surface of a cuboid is made up of four rectangles. So, Lateral or curved surface area of cuboid = Area of four rectangles Lateral or curved surface area of cuboid =(bh)+(bh)+(hl)+(hl) Lateral or curved surface area of cuboid = 2(bh)+2(hl) Surface area of cuboid = 2(l+b)h
  5. 5. This shows that the outer surface of a cylinder is made up of one rectangle and two circles. So, Surface area of cylinder = Area of rectangle + Area of two Circles Surface area of cylinder = 2 ‫ת‬rh + ( ‫ת‬r2 + ‫ת‬r2 ) Surface area of cylinder = 2 ‫ת‬rh + 2(‫ת‬r2) Surface area of cuboid =2 ‫ת‬r(r+h) ‫ת‬ ‫ת‬
  6. 6. This shows that the lateral or curved surface of a cylinder is made up of one rectangle. So, Lateral/curved surface area of cylinder = Area of rectangle Lateral/curved surface area of cylinder = 2 ‫ת‬rh ‫ת‬ ‫ת‬
  7. 7. Made by :- Divyansh Batham Class :- IX‘B’ Roll Number :- 9214 Subject :- Mathematics

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