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Maths p.p.t

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Lateral Surface Area And Total Surface Area Of Cube, Cone,Cuboid And Cylinder

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Maths p.p.t

  1. 1. MATHS P.P.T TOPIC :- “Lateral Surface Area And Total Surface Area Of Cylinder, Cone, Cube And Cuboid” By :SANKALP . R . ANGADI
  2. 2. What is a Cylinder • The term Cylinder refers to a right circular cylinder. • Like a right prism, its altitude is perpendicular to the bases and has an endpoint in each base.
  3. 3. Notice that we had formed 2 circles and a 1 rectangle…….  The 2 circles serves as our bases of our Cylinder and the rectangular region represent the body.
  4. 4. EXAMPLE Find the surface area of a cylindrical water tank given the height of 20m and the radius of 5m? {Use π as 3.14} o Given: H= 20m R= 5m SA= V=2πr2 +2πrh =2(3.14)(5m) 2 +2(3.14)(5m)(20m) =157m2 + 628m2  SA = 785m2
  5. 5. 2. SURFACE AREA OF A CUBOID
  6. 6. Faces of Cuboid To find the surface area of a shape, we calculate the total area of all of the faces. • A Cuboid has 6 faces.  The top and the bottom of the Cuboid have the same area.
  7. 7. Faces of Cuboid To find the surface area of a shape, we calculate the total area of all of the faces. A Cuboid has 6 faces.  The front and the back of the Cuboid have the same area.
  8. 8. Faces of Cuboid To find the surface area of a shape, we calculate the total area of all of the faces. A Cuboid has 6 faces.  The left hand side and the right hand side of the Cuboid have the same area.
  9. 9. 3. SURFACE AREA OF A CUBE
  10. 10. What is a Cube  A cube is a three-dimensional shape that has equal width, height, and length measurements. A cube has six square faces, all of which have sides of equal length and all of which meet at right angles. Finding the volume of a cube is a snap - generally, all that's needed is to multiply the cube's length × width × height.  Since a cube's sides are all equal in length, another way of thinking of a cube's volume is s3, where s is the length of one of the cube's sides.
  11. 11. SURFACE AREA OF A CUBE All six faces of a cube have the same area. • The area of each face is x x x= x 2 Surface Area of a Cube = 6 x 2
  12. 12. Lateral Surface of Cube
  13. 13. Cube NET
  14. 14. Example Length = 12 Width = 4 Height = 3 ---------------------------------------------------- Volume = length x width x height Volume = 12 x 4 x 3 = 144
  15. 15. AL=πrh2+r2 Lateral Surface Area Of A Cone
  16. 16. FORMULAES • cube = a 3 • rectangular prism = a b c • irregular prism = b h • cylinder = b h = pi r 2 h • pyramid = (1/3) b h • cone = (1/3) b h = 1/3 pi r 2 h • sphere = (4/3) pi r 3 • ellipsoid = (4/3) pi r1 r2 r3

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