Surface areas and volumes

1. Surface areas and volumes

2. CONTENTS • Cone • Cuboid • cube • Cylinder • Sphere • Hemisphere • frustum

3. ACKNOWLEDGEMENT I, Tarun Sharma of class x-c, completed this power point presentation about SURFACE AREAS AND VOLUMES under the guidance and supervision of Mr. Birbal Sir with a lots of useful and valuable formulae and geometric 3Dimensional shapes.

4. CONE

5. Surface area Curved Surface Area of a cone: Пrs Total Surface Area of a cone: Пrs +Пr2

6. volume Volume of a cone: 1/3 Пr 2h

7. CUBOID

8. Surface area Curved Surface Area of a Cuboid: 2(bh +lh) Total Surface Area of a Cuboid: 2(lb +bh +lh)

9. VOLUME Volume of a Cuboid: length × breadth × height

10. CUBE

11. Surface area Curved surface area of a cube: =4×side2 Total surface area of a cube: =6×side2

12. VOLUME Volume of a cube: side3

13. CYLINDER

14. Surface area Curved surface area: 2Пrh Total surface area: Пrh +2Пr2 =2Пr(h+r)

15. VOLUME Volume of a cylinder: Пr2h

16. Sphere

17. SURFACE AREA Surface area of a sphere: 4Пr2

18. VOLUME Volume of a sphere: 4/3Пr 3

19. Hemisphere

20. SURFACE AREA Curved surface area of a hemisphere: 2Пr 2 Total surface area of a hemisphere: 3Пr 2

21. VOLUME Volume of A cube: 2/3 Пr 3

22. FRUSTUM

23. SURFACE AREA Curved Surface Area Of A Frustum: П(r+R)l Total Surface Area Of A Frustum: П(r+R)l + Пr 2 + ПR 2 =П(r+R)l + П(r 2+ R2)

24. VOLUME Volume Of A Frustum: 1/3 Пh(r 2+R 2+Rr)