Answers to Chapter 14 A Volume of Geometric Solids
Worksheet on Section 14-1 Exploring Solids
1.
2.
3.
4.
5.
Convex polyhedron
Not Polyhedron
Convex Polyhedron
Concave Polyhedron
F 7,V 10, E 15, not regular
6. F
5,V
5, E
8, not regular
7. F
6,V
8, E
8. F
4,V
4, E
9.
10.
11.
12.
F 8
V 12
E 18
8 12 18
13.
14.
6, yes tetrahedron 15.
16.
17.
18.
19.
12, yes cube
F 5
V 6
E 9
5 6 9
F 8
V 12
E 18
2
2
Worksheet Volume of Prisms 14-4 Part A
192 3
365.883
122850
1.13535 3
or 1.966
5. 2209.55
1161 3
6.
or
2
1.
2.
3.
4.
580.5 3
7. 3.5
12. 393.3
8. 5.037
13. 48
9. 6
14. 508.75
9
10. 2
15. 72
16. 42  7 .9375
11. 159.110
or 48.778
17. 6 3
18. 72 3
19. 18.83
20. 120
21. 120
22. 136
Section 14-4 part A
1)
2)
3)
4)
5)
6)
7)
672 3
125
216
60 39
728
216 3
980
8)
9)
10)
11)
12)
13)
15 3
2
216
14 110
42
60
6
14) 24 3
15) 24 3
16) 2408.668
17) 2 10
18) 140
Worksheet Volume of Pyramids 14-5 part A
1. 8
9.
2. 10
5.
6.
7.
8.
15.
10. 126
3. 169.757
4.
14. 448
32
3
8525
1296
124.049
14 10
6
2643750 3
50.197
11. 144 3
20. 8
21. 25
1600
or 533.333
3
22. 8
16. 6
12. 24
23.
17. 7
368
13.
3
2048
3
24. 24
18. 10
25. 6, 250,000
19. 2
Worksheet Volume of Cones, Cylinders, and Spheres
3675
or 45.099
256
252890
2.
or 996.835
797
3. 94653.51563 or 297362.789
1.
32. No, short by 21.684
56 14
18.
3
33. V
35. 12.
20. 7
21. 6
480249
6.
or 589.354
2560
22.
7. 2211.804
920
or 963.422
3
23. 20  4 5
8. 29605.394
125 13
4
24.
10. 502.814
13.
11979
16
5.4 or
14.
3087
16
15. 124185.408
6561
16.
2000
867
5
585
or 459.458
4
27. 216
8
28. Not enough by .7
29. 585.6 or 1839.717
30. 484
31.
484
27
920
3
37.
25 299  125 3
3
39. No, total needed is 60.7 grams
11. 181.832
26.
36.
38. 48
70 2
3
25. 173.4
12. 178.629
368000
3
34. about 52 cm3
19. 7.400
4. 2640 or 8293.805
5. 1095.47125 or 3443.095
9. 31.25 13 or
17. 4 3
27
5
40.
41.
42.
43.
44.
45.
46.
S  36 ,V  36
* 225
3
 2.83
64
* 36 hours
72 minutes
47. 3 3
48. 241minutes
Exact answers to Worksheet 14.7 Similar Solids
1.
2.
3.
4.
5.
6.
7.
8.
9.
Yes, 1:2
Yes, 1:4
No
Yes, 5:3
256, 224
2432 , 15360
324, 1:3
243, 182.25
SA  90,V  50 ,
SA  810,V  1350
10. SA  75 ,V  9 15 ,
SA  720 ,V  576 15
256
11. SA  64 , V 
,
3
10976
SA  784 ,V 
3
12. 5:6
13. 3:22
14. 11:15
15. 7:22
16. x  7
17. x  3 and x  5
18. 728
19.
9432960
343
20. 4 and 5, 8 and 10
21. 5.8 by 5.5 by 12.8
22. 1.5625
23. x 7
24. x 9
25. x 4
7
26. x
2
27. x
28. x
1
11
2
29. 8: 5
30. 64:25
31. 512:125
32. 128
33. 125
34. 3:2
35. 9:4
36. 16
37. 225
38. V  19 : 27