The document discusses calculating volumes of objects with non-circular cross-sections. It provides an example of finding the volume of a rectangular pyramid and defines a solid object with a circular base where each cross-sectional layer is a square perpendicular to the base. The document contains examples of geometric shapes and formulas for calculating volumes but does not state the key conclusions or outcomes.

1. Volumes By Non Circular Cross-Sections

2. Volumes By Non Circular Cross-Sections a b e.g. Find the volume of this rectangular pyramid h

3. Volumes By Non Circular Cross-Sections y x a b e.g. Find the volume of this rectangular pyramid h

4. Volumes By Non Circular Cross-Sections y x a b e.g. Find the volume of this rectangular pyramid h

5. Volumes By Non Circular Cross-Sections y x a b e.g. Find the volume of this rectangular pyramid h

6. Volumes By Non Circular Cross-Sections y x a b e.g. Find the volume of this rectangular pyramid h

7. Volumes By Non Circular Cross-Sections y x a b e.g. Find the volume of this rectangular pyramid h

8. Volumes By Non Circular Cross-Sections y x a b e.g. Find the volume of this rectangular pyramid h

9. Volumes By Non Circular Cross-Sections y x a b e.g. Find the volume of this rectangular pyramid h

10. Find x in terms of z x z h

11. Find x in terms of z x z h

12. Find x in terms of z x z h x

13. Find x in terms of z x z h x ( x , z )

14. Find x in terms of z x z h x ( x , z )

15. Find x in terms of z x z h x ( x , z ) h

16. Find x in terms of z x z h x ( x , z ) h h - z x

17. Find x in terms of z x z h x ( x , z ) h h - z x

18. Find x in terms of z x z h x ( x , z ) h h - z x

19. Find x in terms of z x z h x ( x , z ) h h - z x

20. Find x in terms of z x z h x ( x , z ) h h - z x ( 0 , h )

21. Find x in terms of z x z h x ( x , z ) h h - z x ( 0 , h )

22. Find x in terms of z x z h x ( x , z ) h h - z x ( 0 , h )

23. Find x in terms of z x z h x ( x , z ) h h - z x ( 0 , h )

24. Find x in terms of z x z h x ( x , z ) h h - z x ( 0 , h )

25. Find x in terms of z x z h x ( x , z ) h h - z x ( 0 , h )

33. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base.

34. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x -2 -2 2 2

35. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

36. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

37. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

38. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

39. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

40. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

41. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

42. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

43. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

44. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

45. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

46. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

47. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

48. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

49. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

50. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

51. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

52. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

53. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

54. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2

55. ( ii ) A solid has a circular base, , and each cross section is a square perpendicular to the base. y x 2 2 -2 -2 Exercise 3A; 16ade, 19 Exercise 3C; 2, 7, 8