Embed Size (px)
Citation preview
Co
pyr
ight
© G
lenc
oe/
McG
raw
-Hill
, a d
ivis
ion
of
The
McG
raw
-Hill
Co
mp
anie
s, In
c.
NAME DATE PERIOD NAME DATE PERIOD
PDF Pass
Chapter 12 151 Glencoe Geometry
Find the lateral area and surface area of each prism. Round to the nearest tenth if necessary.
1. 2.
3. 4.
Find the lateral area and surface area of each cylinder. Round to the nearest tenth.
5. 6.
7. 8.
12 yd
12 yd
10 yd8 m
6 m
12 m
10 in.5 in.
6 in.
8 in.
9 cm
9 cm
7.8 cm9 cm
12 cm
Skills PracticeSurface Areas of Prisms and Cylinders
12-2
8 in.
12 in.
2 yd
3 yd
12 in.
10 in.
2 m
2 m
149_154_GEOHWPC12_890849.indd 151149_154_GEOHWPC12_890849.indd 151 6/26/08 3:58:31 PM6/26/08 3:58:31 PM
Co
pyrig
ht © G
lencoe/M
cGraw
-Hill, a d
ivision o
f The M
cGraw
-Hill C
om
panies, Inc.
NAME DATE PERIOD NAME DATE PERIOD
PDF Pass
Chapter 12 152 Glencoe Geometry
PracticeSurface Areas of Prisms
Find the lateral and surface area of each prism. Round to the nearest tenth if necessary. 1.
15 cm
15 cm
32 cm
2.
8 ft
10 ft5 ft
3.
2 m11 m
4.
4 yd
4 yd
9.5 yd
5 yd
Find the lateral area and surface area of each cylinder. Round to the nearest tenth.
5. 5 ft
7 ft
6. 4 m
8.5 m
7. 19 in.
17 in.
8.
12 m30 m
12-2
149_154_GEOHWPC12_890849.indd 152149_154_GEOHWPC12_890849.indd 152 6/26/08 3:58:39 PM6/26/08 3:58:39 PM
Co
pyr
ight
© G
lenc
oe/
McG
raw
-Hill
, a d
ivis
ion
of
The
McG
raw
-Hill
Co
mp
anie
s, In
c.
NAME DATE PERIOD NAME DATE PERIOD
PDF Pass
Chapter 12 153 Glencoe Geometry
Skills PracticeSurface Areas of Pyramids and Cones
Find the lateral area and surface area of each regular pyramid. Round to the nearest tenth if necessary.
1. 2.
3. 4.
Find the lateral area and surface area of each cone. Round to the nearest tenth.
5. 6.
7. 8.
4 cm
7 cm20 in.
8 in.
9 m
10 m 14 ft
12 ft
14 m
5 m 10 ft
25 ft
8 in.
21 in.
17 mm
9 mm
12-3
149_154_GEOHWPC12_890849.indd 153149_154_GEOHWPC12_890849.indd 153 6/26/08 3:58:44 PM6/26/08 3:58:44 PM
Co
pyrig
ht © G
lencoe/M
cGraw
-Hill, a d
ivision o
f The M
cGraw
-Hill C
om
panies, Inc.
NAME DATE PERIOD NAME DATE PERIOD
PDF Pass
Chapter 12 154 Glencoe Geometry
Practice Surface Areas of Pyramids and Cones
Find the lateral area and surface area of each regular pyramid. Round to the nearest tenth if necessary.
1.
9 yd
10 yd
2. 12 m
7 m
3.
13 ft
5 ft
4.
8 cm
2.5 cm
Find the lateral area and surface area of each cone. Round to the nearest tenth if necessary.
5.
5 m4 m
6. 7 cm
21 cm
7. Find the surface area of a cone if the height is 14 centimeters and the slant height is 16.4 centimeters.
8. Find the surface area of a cone if the height is 12 inches and the diameter is 27 inches.
9. GAZEBOS The roof of a gazebo is a regular octagonal pyramid. If the base of the pyramid has sides of 0.5 meters and the slant height of the roof is 1.9 meters, find the area of the roof.
10. HATS Cuong bought a conical hat on a recent trip to central Vietnam. The basic frame of the hat is 16 hoops of bamboo that gradually diminish in size. The hat is covered in palm leaves. If the hat has a diameter of 50 centimeters and a slant height of 32 centimeters, what is the lateral area of the conical hat?
12-3
149_154_GEOHWPC12_890849.indd 154149_154_GEOHWPC12_890849.indd 154 6/26/08 3:58:52 PM6/26/08 3:58:52 PM
Co
pyr
ight
© G
lenc
oe/
McG
raw
-Hill
, a d
ivis
ion
of
The
McG
raw
-Hill
Co
mp
anie
s, In
c.
NAME DATE PERIOD
PDF Pass
Chapter 12 155 Glencoe Geometry
12-4
Find the volume of each prism or cylinder. Round to the nearest tenth if necessary.
1.
18 cm
16 cm
8 cm 2.
6 ft
8 ft
2 ft
3.
3 m
5 m
13 m
4.
16 in. 22 in.
34 in.
5.
15 mm23 mm
6. 6 yd
10 yd
Find the volume of each oblique prism or cylinder. Round to the nearest tenth if necessary.
7. 8.
5 in.
3 in.
Skills PracticeVolumes of Prisms and Cylinders
17 cm
18 cm
4 cm
155_160_GEOHWPC12_890849.indd 155155_160_GEOHWPC12_890849.indd 155 6/26/08 3:59:25 PM6/26/08 3:59:25 PM
Co
pyrig
ht © G
lencoe/M
cGraw
-Hill, a d
ivision o
f The M
cGraw
-Hill C
om
panies, Inc.
NAME DATE PERIOD
PDF Pass
Chapter 12 156 Glencoe Geometry
PracticeVolumes of Prisms and Cylinders
Find the volume of each prism or cylinder. Round to the nearest tenth if necessary.
1.
17 m10 m
26 m 2.
5 in.
5 in.
5 in.
9 in.
3.
16 mm 17.5 mm
4. 7 ft 25 ft
5.
13 yd
20 yd
10 yd 6.
30 cm
8 cm
7. AQUARIUM Mr. Gutierrez purchased a cylindrical aquarium for his office. The aquarium has a height of 25 1 −
2 inches and a radius of 21 inches.
a. What is the volume of the aquarium in cubic feet?
b. If there are 7.48 gallons in a cubic foot, how many gallons of water does the aquarium hold?
c. If a cubic foot of water weighs about 62.4 pounds, what is the weight of the water in the aquarium to the nearest five pounds?
12-4
155_160_GEOHWPC12_890849.indd 156155_160_GEOHWPC12_890849.indd 156 6/26/08 3:59:37 PM6/26/08 3:59:37 PM
Co
pyr
ight
© G
lenc
oe/
McG
raw
-Hill
, a d
ivis
ion
of
The
McG
raw
-Hill
Co
mp
anie
s, In
c.
NAME DATE PERIOD
PDF Pass
Chapter 12 157 Glencoe Geometry
12-5 Skills PracticeVolumes of Pyramids and Cones
Find the volume of each pyramid or cone. Round to the nearest tenth if necessary. 1. 2.
3. 4.
5. 6.
Find the volume of each oblique pyramid or cone. Round to the nearest tenth if necessary.
7. 8.
5 ft5 ft
8 ft
4 cm7 cm
8 cm
8 in.10 in.
14 in.25 m
12 m
25 yd
14 yd66°
18 mm
4 ft4 ft
6 ft12 cm
6 cm
155_160_GEOHWPC12_890849.indd 157155_160_GEOHWPC12_890849.indd 157 6/26/08 3:59:43 PM6/26/08 3:59:43 PM
Co
pyrig
ht © G
lencoe/M
cGraw
-Hill, a d
ivision o
f The M
cGraw
-Hill C
om
panies, Inc.
NAME DATE PERIOD
PDF Pass
Chapter 12 158 Glencoe Geometry
PracticeVolumes of Pyramids and Cones
Find the volume of each pyramid or cone. Round to the nearest tenth if necessary.
1.
9.2 yd9.2 yd
13 yd
2.
12.5 cm25 cm
23 cm
3.
19 ft
9 ft 4.
52°12 mm
5.
6 in.6 in.
11 in.
6.
37 ft11 ft
7. CONSTRUCTION Mr. Ganty built a conical storage shed. The base of the shed is 4 meters in diameter and the height of the shed is 3.8 meters. What is the volume of the shed?
8. HISTORY The start of the pyramid age began with King Zoser’s pyramid, erected in the 27th century B.C. In its original state, it stood 62 meters high with a rectangular base that measured 140 meters by 118 meters. Find the volume of the original pyramid.
12-5
155_160_GEOHWPC12_890849.indd 158155_160_GEOHWPC12_890849.indd 158 6/26/08 3:59:49 PM6/26/08 3:59:49 PM
Co
pyr
ight
© G
lenc
oe/
McG
raw
-Hill
, a d
ivis
ion
of
The
McG
raw
-Hill
Co
mp
anie
s, In
c.
NAME DATE PERIOD
PDF Pass
Chapter 12 159 Glencoe Geometry
Skills PracticeSurface Areas and Volumes of Spheres
Find the surface area of each sphere or hemisphere. Round to the nearest tenth.
1.
7 in.
2.
32 m
3. hemisphere: radius of great circle = 8 yd
4. sphere: area of great circle ≈ 28.6 in2
Find the volume of each sphere or hemisphere. Round to the nearest tenth.
5.
16.2 cm
6.
94.8 ft
7. hemisphere: diameter = 48 yd
8. sphere: circumference ≈ 26 m
9. sphere: diameter = 10 in.
12-6
155_160_GEOHWPC12_890849.indd 159155_160_GEOHWPC12_890849.indd 159 6/26/08 3:59:54 PM6/26/08 3:59:54 PM
Co
pyrig
ht © G
lencoe/M
cGraw
-Hill, a d
ivision o
f The M
cGraw
-Hill C
om
panies, Inc.
NAME DATE PERIOD
PDF Pass
Chapter 12 160 Glencoe Geometry
12-6 PracticeSurface Areas and Volumes of Spheres
Find the surface area of each sphere or hemisphere. Round to the nearest tenth.
1.
6.5 cm
2.
89 ft
3. hemisphere: radius of great circle = 8.4 in.
4. sphere: area of great circle ≈ 29.8 m2
Find the volume of each sphere or hemisphere. Round to the nearest tenth.
5.
12.32 ft
6.32 m
7. hemisphere: diameter = 18mm
8. sphere: circumference ≈ 36 yd
9. sphere: radius = 12.4 in.
155_160_GEOHWPC12_890849.indd 160155_160_GEOHWPC12_890849.indd 160 6/26/08 3:59:59 PM6/26/08 3:59:59 PM
