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Mensuration Presentation Transcript

  • 1. MENSURATION
  • 2. DEFINITION OF MENSURATION
    Topic dealing with the use of formulae to calculate Perimeters, Areas and Volumes of plain shapes and solid ones (prisms).
  • 3. 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.
  • 4. 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
  • 5. 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)
  • 6. 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)
  • 7. 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
  • 8. 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
  • 9. 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
  • 10. CREDITS
    PUILKIT
    VIII-D