Name ———————————————————————
Practice C
LESSON
12.2
LESSON 12.2
Date ————————————
For use with pages 834–841
Sketch the polyhedron represented by the net. Then find the surface area.
Round your answer to two decimal places.
1.
2.
3. 9 4 cm
5
8.46 ft
6.5 m
17.25 ft
20 cm
10 m
Sketch a net of the right prism. Find the surface area and lateral area of
the prism. Round your answers to two decimal places.
4.
5.
4.07 cm
3.6 m
5.94 m
6.15 cm
7.35 m
4.89 cm
6.
7.
3.1 mi
15 4 in.
in.
5
23 8 in.
3.1 mi
8.
9.
2 ft
5.8 ft
1 yd
2 yd
9.6 ft
Find the surface area and lateral area of the right cylinder using the given
radius r and height h. Round your answer to two decimal places.
10.
0.25 m
11.
12. 16.75 cm
1
11 3 ft
1
5 2 ft
0.72 m
49.2 cm
402
Geometry
Chapter 12 Resource Book
Copyright © Holt McDougal. All rights reserved.
0.85 mi
3
3
15 4
Name ———————————————————————
Practice C
LESSON
12.2
For use with pages 834–841
continued
14. 20.1 mm
15.
12 3 in.
10.55 m
8.62 m
LESSON 12.2
13.
Date ————————————
4 cm
14 5 in.
Solve for x given the surface area S of the right prism or right cylinder.
Round your answer to two decimal places.
16. S 5 274.39 ft2
17. S 5 958.89 m2
7.25 m
18. S 5 114.33 yd2
x
10.45 ft
1
3 3 yd
x
1
6 12 yd
6.12 ft
x
19. Find the surface area of a right octagonal prism with all edges measuring 8 feet.
Round your answer to two decimal places.
20. Find the surface area of a right dodecagonal prism with all edges measuring
12.4 meters. Round your answer to two decimal places.
21. The surface area of a cylinder is 1000π square centimeters. The radius of the
Copyright © Holt McDougal. All rights reserved.
cylinder is four times the height. What is the height of the cylinder?
22. The surface area of a cylinder is 198π square yards. The height of the cylinder
is ten times the radius. What is the radius of the cylinder?
Find the surface area of the solid. Round your answer to two
decimal places.
23.
24.
2 ft
2 ft
10 m
2m
3 ft
4 ft
4 ft
25.
1 cm
1 cm
26.
25 yd
3 yd
6 cm
10 yd
5 cm
Geometry
Chapter 12 Resource Book
403
Lesson 12.2, continued
15. Check sketches; 154 yd2; 56 yd2.
12. 6940.8 cm2; 5177.97 cm2 13. 3583.49 in.2
16. Check sketches; 3600 in.2; 2800 in.2.
14. 3160.46 mm2 or 31.6 cm2 15. 402.42 m2
17. Check sketches; 167.66 m2; 138 m2.
16. 4.42 ft 17. 13.8 m 18. 5.75 yd
2
18. Check sketches; 275.14 ft ; 192 ft .
19. 1130.04 ft2 20. 5288.16 m2 21. 5 cm
19. 100.53 cm2; 75.40 cm2
22. 3 yd 23. 96 ft2
20. 904.78 ft2; 395.84 ft2
24. 301.59 m2 25. 82 cm2
21. 6880.09 m2; 5466.37 m2
26. 1163.96 yd2
22. 835.66 yd2; 527.79 yd2
Review for Mastery
23. 30,259.82 in.2; 25,333.80 in.2
2
24. 7.85 mm ; 6.28 mm
ANSWERS
2
1. 184 in.2; 144 in.2
2
2. 768π < 2412.74 cm2; 1507.96 cm2 3. 21 ft
2
25. 3 ft 26. 9 cm 27. 14 cm 28. 276 m
Problem Solving Workshop:
Using Alternative Methods
29. 33.8 cm2 30. 5 ft 31. 6 mm
1. 972 in.2 2. 860.55 m2
Practice Level B
1. Check sketches; 162 cm2
Challenge Practice
2. Check sketches; 4656 in.2
3. Check sketches; 345.58 ft
1. 1020 in.2 2. 320π < 1005 cm2 3. 6000 ft2
}}
2
}
4. d 5 Ï l2 1 w 2 1 h2 5. Ï 70 < 8.4 in.
}
4. Check sketches; 248 m2; 168 m2.
6. Check sketches; 228.06 cm2; 150 cm2.
6. 5Ï 3 < 28.7 cm 7. The diagonal length
doubles. 8. Length: 6 yd; width: 2 yd;
height: 4 yd 9. Height: 9 ft; radius: 2 ft
7. 628.32 cm2; 471.24 cm2
10. Height: 21 cm; radius: 13 cm
5. Check sketches; 309.21 ft2; 269.21 ft2.
8. 29.72 ft2; 22.12 ft2
Lesson 12.3
9. 2261.95 in.2; 1357.17 in.2
Practice Level A
10. 8 m 11. 10.23 ft 12. 11.89 cm
1.
13. S 5 2xy 1 2xz 1 2yz 14. 216 in.2
slant
height
height
Copyright © Holt McDougal. All rights reserved.
15. 184 in.2 16. B
1
17. The new surface area is } of the original
4
base
surface area.
18. 3 ft 19. 207.35 in.2 20. 2.5 ft
21. 70.69 ft2 22. 117.81 ft2
2. regular pentagon 3. triangle 4. 5
} } }
5. Sample answer: AC, AB, AE 6. 45 m2
7. 84 ft2 8. 260 cm2
Practice Level C
9. Check sketches; 64 yd2; 48 yd2.
1. Check sketches; 570.89 ft
2
2. Check sketches; 102.22 m
10. Check sketches; 52.2 m2; 42 m2.
2
3. Check sketches; 671.17 cm
11. Check sketches; 135.7 ft2; 108 ft2.
2
12. Check sketches; 547.5 cm2; 375 cm2.
2
2
4. Check sketches; 150.01 cm ; 89.87 cm .
2
13. Check sketches; 1536 yd2; 960 yd2.
2
5. Check sketches; 140.12 m ; 113.66 m .
2
14. Check sketches; 296.4 in.2; 234 in.2.
2
6. Check sketches; 29.76 mi ; 10.54 mi .
2
15. 329.87 in.2 16. 188.5 m2
2
7. Check sketches; 1984.5 in. ; 1488.38 in. .
2
2
17. 508.94 cm2 18. 251.33 yd2
2
8. Check sketches; 53.83 ft or 5.98 yd ; 42 ft
or 4.67 yd2.
9. Check sketches; 508.88 ft2; 334.08 ft2.
10. 1.52 m2; 1.13 m2 11. 1198.69 ft2; 391.65 ft2
19. 1046.15 m2 20. 2060.88 mm2
21. 761.05 in.2 22. 703.72 m2
23. 221.19 cm2
Geometry
Chapter 12 Resource Book
A59