Surface Areas of Prisms and Cylinders. Find the lateral area and surface area of each prism. Round to the nearest tenth if necessary.
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1 12-2 Skills Practice Surface Areas of Prisms and Cylinders Find the lateral area and surface area of each prism. Round to the nearest tenth if necessary. 12 yd 6 m 12 yd 10 yd 8 m 12 m in. 8 in. 5 in. 10 in. 7.8 cm 9 cm 9 cm 9 cm 12 cm Find the lateral area and surface area of each cylinder. Round to the nearest tenth yd 12 in. 10 in. 2 yd 2 m 8 in. 12 in. 2 m Chapter Glencoe Geometry
2 12-2 Practice Surface Areas of Prisms Find the lateral and surface area of each prism. Round to the nearest tenth if necessary. 15 cm 32 cm 10 ft 5 ft 15 cm 8 ft yd 2 m 11 m 4 yd 5 yd 9.5 yd Find the lateral area and surface area of each cylinder. Round to the nearest tenth. 5 ft in. 7 ft 17 in m 12 m 8.5 m 30 m Chapter Glencoe Geometry
3 12-3 Skills 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. 7 cm 20 in. 4 cm 8 in m 12 ft 10 m 14 ft Find the lateral area and surface area of each cone. Round to the nearest tenth. 5 m 10 ft 14 m in. 8 in. 25 ft 17 mm 9 mm Chapter Glencoe Geometry
4 12-3 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. 10 yd 12 m 9 yd 7 m ft 8 cm 5 ft 5 cm Find the lateral area and surface area of each cone. Round to the nearest tenth if necessary. 5 m 4 m 7. Find the surface area of a cone if the height is 14 centimeters and the slant height is 14 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 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? 7 cm 21 cm Chapter Glencoe Geometry
5 12-4 Skills Practice Volumes of Prisms and Cylinders Find the volume of each prism or cylinder. Round to the nearest tenth if necessary. 8 cm 2 ft 16 cm 8 ft 18 cm 6 ft m in. 3 m 5 m 16 in. 22 in. 6 yd 23 mm 15 mm 10 yd Find the volume of each oblique prism or cylinder. Round to the nearest tenth if necessary cm 18 cm 4 cm 3 in. 5 in. Chapter Glencoe Geometry
6 12-4 Practice Volumes of Prisms and Cylinders Find the volume of each prism or cylinder. Round to the nearest tenth if necessary. 26 m 5 in. 17 m 10 m 5 in. 5 in. 9 in mm 17.5 mm 4. 7 ft 25 ft 10 yd 8 cm 30 cm 20 yd 13 yd 7. AQUARIUM Mr. Gutierrez purchased a cylindrical aquarium for his office. The aquarium has a height of 25 1 inches and a radius of 21 inches. 2 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 64 pounds, what is the weight of the water in the aquarium to the nearest five pounds? Chapter Glencoe Geometry
7 12-5 Skills Practice Volumes of Pyramids and Cones Find the volume of each pyramid or cone. Round to the nearest tenth if necessary. 8 ft 8 cm 5 ft 5 ft 7 cm 4 cm m 14 in. 25 m 10 in. 8 in. 14 yd 25 yd Find the volume of each oblique pyramid or cone. Round to the nearest tenth if necessary ft 6 ft 4 ft 18 mm 12 cm 6 cm 66 Chapter Glencoe Geometry
8 12-5 Practice Volumes of Pyramids and Cones Find the volume of each pyramid or cone. Round to the nearest tenth if necessary. 13 yd 23 cm 9.2 yd 9.2 yd 25 cm 15 cm 3. 9 ft ft 12 mm 52 6 in. 11 in. 6 in. 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. 11 ft 37 ft Chapter Glencoe Geometry
9 12-6 Skills Practice Surface Areas and Volumes of Spheres Find the surface area of each sphere or hemisphere. Round to the nearest tenth. 7 in. 32 m 3. hemisphere: radius of great circle = 8 yd 4. sphere: area of great circle 28.6 in 2 Find the volume of each sphere or hemisphere. Round to the nearest tenth. 12 cm 7. hemisphere: diameter = 48 yd 8. sphere: circumference 26 m 9. sphere: diameter = 10 in ft Chapter Glencoe Geometry
10 12-6 Practice Surface Areas and Volumes of Spheres Find the surface area of each sphere or hemisphere. Round to the nearest tenth. 5 cm 89 ft 3. hemisphere: radius of great circle = 8.4 in. 4. sphere: area of great circle 29.8 m 2 Find the volume of each sphere or hemisphere. Round to the nearest tenth. 32 m 132 ft 7. hemisphere: diameter = 18mm 8. sphere: circumference 36 yd 9. sphere: radius = 14 in. Chapter Glencoe Geometry
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