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Geometry
Chapter 12 Review
NAME ___________________
I.Name the polyhedron.
_______________1.
_______________2.
_______________3.
II.Solve for x given the surface area S. Write the equation and show work.
x=_________ 4. S  864 cm2
Equation_____________________
x=_________ 5.
S  72 cm2
Equation_____________________
III.Solve for x given the volume V of each solid. Write the equation and show work.
x=_________ 6.
V  360 ft3
Equation_____________________
x=_________ 7.
V  100 in2
Equation_____________________
x  radius of sphere
IV.Solid A (shown) is similar to Solid B (not shown) with the given scale factor of A
to B. Find the surface area and volume of Solid B.
8. Surface Area of Solid B=_________
Proportion_______________
9. Volume of Solid B=_________
Proportion_______________
V. Answer the following questions
______10.
Two cylinders have a scale factor of 2:3. The smaller cylinder has surface
area of 54 square meters. Find the exact surface area of the larger
cylinder. Write the proportion used.
Proportion_______________
VI.Solid A is similar to Solid B. Find the scale factor of Solid A to Solid B
__________11.
__________12.
VII. Name each solid using the figure or the net and find what is being asked.
SHOW WORK FOR FULL CREDIT!
_______________________13. Name of solid (Draw its 3D shape)
______14. height of solid
______15. Area of Base of solid
______17. SA
______16. L.A.
______18. Volume
_______________________19. Name of solid
Diameter of soccer ball is 9 inches
______20. radius of solid
______21. S.A.
______22. Volume
_______________________22. Name of solid
______23. height of figure
______24. Area of base
______25. L.A.
______26. S.A.
______27. Volume
______________________28. Name of solid
______29. height
______30. Area of Base ______31. L.A.
______32. S.A
______33. Volume
_______________________34. Name of solid
______35. Number of faces
______36. Number of vertices
______37. Number of edges
______38. height of solid
______39. Area of Base
______40. L.A.
______41. S.A.
______42. Volume
_______________________43. Name of solid
______44. height of solid ______45. slant height (pythag thm).
______46. Exact area of Base
______48. S.A.
______47. L.A.
_______49. Volume
_______________________50. Name of solid
______51. Number of faces ______52. Number of vertices
______53. slant height.
______54. height.
______55. Area of Base
______56. L.A.
______57. S.A.
______58. Volume
_______________________59. Name of solid
______60. height. ______61. Area of Base of solid.
______62. L.A.
______63. Volume
VIII.Given the similar figures, use the given area to find ST. Show proportion used.
79. ST  _______
80. ST  _______
Proportion_______________
Proportion_______________
IX.Given that ABC ~ DEF find the value of x. Show proportion used.
81. x  _______
Proportion_______________
X.Identify, redraw the similar triangles, and find the length of FH . Show
proportion used.
82. GJK ~  ______
83. FH  _______
Proportion________________