Name ———————————————————————
LESSON
12.4
Date ————————————
Practice C
For use with pages 853–859
1.
2.
LESSON 12.4
Find the volume of the right prism. Round your answer to two decimal
places, if necessary.
3.
5.7 ft
4 3m
109 yd
4 3m
4.9 ft
13.1 ft
4 3m
45 yd
60 yd
4.
5.
20.1 cm
10.7 cm
6.
14 cm
3
6m
9.4 cm
1.5 in.
10 4 m
1.74 in.
Find the volume of the right cylinder. Round your answer to two
decimal places.
7.
8.
3
2 16 in.
9.
5.11 m
92.5 yd
44.25 yd
Copyright © Holt McDougal. All rights reserved.
3 in.
7.88 m
10.
11.
55 cm
12.
8.15 ft
8 3 cm
3
12 8 in.
9
16.5 ft
4 10 in.
Describe the solid. Find the length x using the given volume V.
13. V 5 281.4 mm3
14. V 5 3148 yd3
15. V 5 78 cm3
18.3 yd
6.7 mm
12 mm
x
x
3 cm
x
Geometry
Chapter 12 Resource Book
423
Name ———————————————————————
LESSON
LESSON 12.4
12.4
Practice C
For use with pages 853–859
Date ————————————
continued
1
16. The volume of a cube is 91 } cubic centimeters. Find the side length.
8
17. The volume of a right cylinder is 1614.48π cubic inches and the height is
10.5 inches. Find the radius.
Sketch the described solid and find its volume. Round your answer to
two decimal places, if necessary.
18. A right pentagonal prism has a base edge
19. An oblique cylinder has a radius of
length of 3.4 feet and a height of 8 feet.
9.6 meters and a height of 22.3 meters.
Find the volume of the solid. The prisms and cylinders are right.
Round your answer to two decimal places, if necessary.
20. 2.5 m
21.
2m
22.
3 ft
2.4 ft
6 yd
4.5 yd
8.5 ft
9m
9.5 yd
8.5 ft
9 yd
Use Cavalieri’s Principle to find the volume of the oblique prism
or cylinder. Round your answer to two decimal places.
23.
14.2 cm
24.
1
12 2 ft
17.8 cm
2
7 5 ft
1
5 2 ft
25. Doghouse Find the volume of the doghouse shown.
2 ft
3 ft
4 ft
3.5 ft
424
Geometry
Chapter 12 Resource Book
Copyright © Holt McDougal. All rights reserved.
7.6 yd
Lesson 12.4, continued
7. 346.41 yd3 8. 210 in.3 9. 168 m3
18. 159.12 ft3
19. 6456.5 m3
10. 452.39 m3 11. 307.88 cm3 12. 6082.12 ft3
3
13. 593.76 yd
14. 1990.98 in.
15. 1082.12 mm
16. 3.91 yd 17. 15 cm
3
22.3 m
19. 100.53 ft3
18. 300 m
8 ft
4 ft
3.4 ft
6m
20. 459.46 m3 21. 156.44 ft3 22. 393.3 yd3
8 ft
5m
10 m
ANSWERS
3
9.6 m
3
23. 2818.94 cm3 24. 508.75 ft3 25. 48.78 ft3
Review for Mastery
1. V 5 468 ft3 2. r 5 8 in. 3. V 5 576 in.3
20. 62.83 in.3 21. 800 cm3 22. 4000 ft3
23. 5184 ft3 24. 12,723.45 ft3
4. V 5 972π < 3053.6 cm3
Challenge Practice
}
1. 1280Ï 3 < 2217.0 cm3
Practice Level B
}
1. 120 cubic units 2. 120 cubic units
2. 125π Ï 3 < 680.2 in.3
3. 136 cubic units 4. 96 m3 5. 189 in.3
3. 2040Ï 3 < 3533.4 m3 4. 40π < 125.7 in.3;
6. 831.38 cm3 7. 113.1 ft3 8. 942.48 in.3
9. 276.46 cm3 10. rectangular prism; 12 m
}
40π 2 64 < 61.7 in.3
5. a. 736π < 2312.2 cm3 b. 5 in. c. 5 ft
6. a.
11. right triangular prism; 6 ft
15 cm
12. right cylinder; 6 cm 13. C
14. 162 ft3
15. 402.12 m3
9 cm
4m
3 ft
x
x
8m
6 ft
Copyright © Holt McDougal. All rights reserved.
9 ft
16. 48 mm3 17. 502.65 in.3
18. 72 mm3 19. 62.83 in.3
20. 301.59 cm3 21. 10.39 in.2
x
22. 124.71 in.3 23. no
15 2 2x
b. V 5 x(9 2 2x)(15 2 2x) 5 4x3 2 48x 1 135
Practice Level C
1. 332.55 m3 2. 365.88 ft3
3
3. 122,850 yd
3
5. 2209.55 cm
c.
3
4. 1.97 in.
6. 1005.46 m3
7. 45.1 in.3 8. 996.83 m3
9. 297,362.79 yd3 10. 8293.8 cm3
3
11. 3443.1 ft
9 2 2x
x
0.8
1.2
1.8
2.0
2.2
2.6
V
79.3
99.8
110.8
110
107.3
96.8
Length: 11.4 cm; width: 5.4 cm; height: 1.8 cm
3
12. 589.35 in.
13. rectangular prism; 3.5 mm
14. right cylinder; about 7.4 yd
Lesson 12.5
Practice Level A
}
15. pentagonal prism; about 5.05 cm
1. 9Ï 3 ø 15.6 square units 2. 64 square units
16. 4.5 cm 17. 12.4 in.
3. 16π < 50.3 square units 4. 400 yd3 5. 20 m3
6. 65.33 in.3 7. 336 cm3 8. 86.6 ft3
Geometry
Chapter 12 Resource Book
A61