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Mensuration
 

Mensuration

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    Mensuration Mensuration Presentation Transcript

    • MENSURATION
    • DEFINITION OF MENSURATION
      Topic dealing with the use of formulae to calculate Perimeters, Areas and Volumes of plain shapes and solid ones (prisms).
    • PERIMETER AND AREA
      PERIMETER
      THE PERIMETER IS THE DISTANCE AROUND THE BOUNDARY OF A PLANE CLOSED FIGURE.
      AREA
      AREA CAN BE DEFINED AS THE SPACE COVERER BY THE SURFACE OF A FIGURE.
    • L
      L
      L
      PERIMETER
      THERE ARE DIFFERENT FORMULAES FOR FINDING THE PERIMETER OF A PLANE FIGURE:
      SQUARE: 4 X s
      RECTANGLE: 2 X (l + b)
      CIRCLE:2 X 3.14 X r
    • AREA OF 2D FIGURES
      THERE ARE DIFFERENT FORMULAES FOR FINDING THE AREA OF A PLANE FIGURE:
      RECTANGLE: l X b
      SQUARE: s2
      TRIANGLE: ½ X b X h
      PARALLELOGRAM: b X h
      CIRCLE: 3.14 X r2
      TRAPEZIUM : ½ X h(a+b) (WHERE a IS FIRST PARALLEL LINE , b IS SECOND PARALLEL LINE AND h IS HEIGHT)
    • h
      b
      l
      AREA OF 3D FIGURES
      THERE ARE DIFFERENT FORMULAES FOR FINDING THE AREA OF A PLANE FIGURE:
      CUBE:6l2
      CUBOID:2 X h X (l + b)
      CYLINDER: 2 X 3.14 X r X (r +h)
    • 1000m
      BASIC PROBLEMS
      Q1. SHYAM HAS A SQUARE PLOT OF SIDE 1000m.
      FIND THE AREA.
      ANS1. SIDE OF SQUARE PLOT = 1000M
      THEREFORE, AREA = 1000m2 = 10,00,000m2
    • 300km
      200km
      120km
      BASIC PROBLEMS
      Q2. SHRI OWNS A TRAPEZIUM PLOT OF 1ST PARALLEL LINE = 300km , 2ND PARALLEL LINE = 200km AND THE DISTANCE BETWEEN THEM = 120km. FIND THE AREA OF THE PLOT.
      ANS2. 1ST PARALLEL LINE = 300km.THE 2ND PARALLEL LINE =200km AND HEIGHT = 120km. AREA = ½ x 120km (300km + 200km) . THEREFORE, AREA =½ X 120km X 500km = 30,000km2
    • 5m
      500M
      400M
      5m
      BASIC PROBLEMS
      Q3 RAM OWNS A RECTANGULAR PARK OF l = 500m AND b = 400m. HE CONSTRUCTS A FOOTPATH OF 5m ALONG ITS ALL SIDES. FIND THE AREA OF THE FOOTPATH.
      ANS3 LENGTH OF RECTANGLE = 500m BREADTH OF RECTANGLE = 400m
      THE AREA OF RECTANGLE = 500m X 400m
      =2,00,000m2
      LENGTH OF OUTER RECTANGLE = 510m
      BREADTH OF OUTER RECTANGLE = 410m
      AREA OF OUTER RECTANGLE
      = 510m X 410m = 2,09,100m2
      AREA OF FOOTPATH = 2,09,100m2 –2,00,000m2
      = 9100m2
    • CREDITS
      PUILKIT
      VIII-D