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SURFACE AREAS




AND VOLUMES
CONTENTS
SURFACE AREAS AND VOLUMES OF :-
CUBOID
CUBE
CYLINDER
CONE
SPHERE
SURFACE AREA
     Area of square 1 = a x a
     Area of square 2 = a x a
     Area of square 3 = a x a
     Area of square 4 = a x a
     Area of square 5 = a x a
     Area of square 6 = a x a
     Surface Area = Area of all 6 faces
                  = 6a2
VOLUME
Circumference of a circle = 2πr
Area covered by a circle = (2πr) x (h)
                          = 2πrh
TOTAL SURFACE AREA
VOLUME
If we make a cone having radius and height
equal to the radius of sphere. Then a water
filled cone can fill the sphere in 4 times.

                                       r
            r
       r


    V=1/3 πr2h                    V1
    If h = r then         V1 = 4V = 4(1/3 πr3)

    V=1/3   πr3           V1= 4/3 πr3
Surface areas and volume

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Surface areas and volume

  • 2. CONTENTS SURFACE AREAS AND VOLUMES OF :- CUBOID CUBE CYLINDER CONE SPHERE
  • 3.
  • 4.
  • 5. SURFACE AREA Area of square 1 = a x a Area of square 2 = a x a Area of square 3 = a x a Area of square 4 = a x a Area of square 5 = a x a Area of square 6 = a x a Surface Area = Area of all 6 faces = 6a2
  • 7. Circumference of a circle = 2πr Area covered by a circle = (2πr) x (h) = 2πrh
  • 8.
  • 9.
  • 10.
  • 13.
  • 14. If we make a cone having radius and height equal to the radius of sphere. Then a water filled cone can fill the sphere in 4 times. r r r V=1/3 πr2h V1 If h = r then V1 = 4V = 4(1/3 πr3) V=1/3 πr3 V1= 4/3 πr3