1. Surface Areas of Prisms and Cylinders
GEOMETRY LESSON 10-3
Pages Exercises
cm2
ft2
in.2 or about in.2
4. a. right hexagonal prism
b. 240 cm2
c cm2
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2. Surface Areas of Prisms and Cylinders
GEOMETRY LESSON 10-3
4. (continued)
d. ( )cm2
ft2; 220 ft2
6. 96 in.2; 108 in.2
cm2; 1121 cm2
cm2
cm2
in.2
cm2
in.2
in.2 m2
cm2 cm
cm2
18. A cylinder and a prism both have two
bases and lateral faces that are rectangular. The bases of a cylinder are circles and the
18. (continued)
bases of a prism are polygons.
mm2
20. Answers may vary. Sample:
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3. Surface Areas of Prisms and Cylinders
GEOMETRY LESSON 10-3
21. a. 94 units2
b. 376 units2
c. 4 : 1
d. 438 units2; units2; 4 : 1
e. The surface area becomes 4 times as large.
in.
in.2
26. (continued)
e. 94 units2
27. cylinder of radius 4 and height 2; 48 units2
28. cylinder of radius 2 and height 4; 24 units2
29. cylinder of radius 2 and height 4; 24 units2
30. cylinder of radius 4 and height 2; 48 units2
24. about 75.5 in.2
25. a. 7 units
b units2
26. a. A(3, 0, 0);
B(3, 5, 0);
C(0, 5, 0);
D(0, 5, 4)
b. 5
c. 3
d. 4
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4. Surface Areas of Prisms and Cylinders
GEOMETRY LESSON 10-3
31. a. Lateral area is doubled
b. Surface area is more than doubled
c. S.A. = 2 r rh; if r doubles: S.A. = 2(4 r rh). Since r is squared, surface area is more than doubled.
32. a. r in.; h = 6 in.
b. about 54.0 in.2
33. ( ) cm2
34. ( ) m2
35. (220 – 8 ) in.2
36. h = 6 m; r = 3 m
37. a. 0, 8, 12, 6, 1
b in.2
38. C
39. I
40. D
41. A
42. B
43. C
44. [2]
a. Lateral area is the perimeter times height. Since the lateral area is 48 in.2 and the perimeter of the
is 24 in., h = 2 in.
b. S.A. = 96 in.2
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5. Surface Areas of Prisms and Cylinders
GEOMETRY LESSON 10-3
44. (continued)
[1] correct explanation OR correct surface area
45.
46.
47.
cm2
cm2
50. a. R(c, b), S(c, –b), P(a, –b), Q(a, b)
b. a – c; a – c; 2b; 2b
c. Opposite sides are .
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