Preparing for the Regents Examination Geometry, AK

14 47.5 in. 2
15 h 4 in.
16 25 cm 3
17 The cylinder formed by spinning the rectangle
about the shorter side is 96 cm 3 greater
in volume.
r 6 and h 8, V 288 cm 3
r 8 and h 6, V 384 cm 3
18 36 9 √ 3 in. 2
19 36 √ 3 in. 3
20 144 √ 3 cm 3
21 480
22 156 in. 2
23 √ 65 in.
Ratios, Proportion,
and Similarity
12-1 Ratio and Proportion
(pages 294–295)
1 No
2 Yes
3 No
4 Yes
5 a 3 _
2
b 2 _
5
c 3 _
5
d 5 _
3
6 77
7 15
8 9
9 15
10 5
72 Chapter 12: Ratios, Proportion, and Similiarity
24 100 ft 3
25 60 ft 2
26 Lateral area: 15 in. 2 ; volume: 12 in. 3
27 r 3 in.; volume: 36 in. 3
28 Surface area: 40,000 cm 2
Volume: 4,000,000 _
3 cm 3 or 1,333,333 1 _ cm
3 3
29 Surface area: 4 ft 2 ; volume: 4 _ ft
3 3
30 r 8 _
√ meters
31 5 _ inches or 2.5 inches
2
32 40.57 41 scoops
11 44
12 15
13 39
14 mt _
a
15 2ma _
r
16 4ar _
t
17 9
18 8
19 15
20 4 √ 3
21 3 √ 11
22 5 √ 3
23 6 √ 2
24 4 √ 6
25 1 _
10
26 1 _ or _ √ 3
3 √ 3 9
CHAPTER
12