Name Class Date. Use Euler s Formula to find the missing number for each polyhedron.
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1 Practice 11-1 Space Figures and Cross Sections Use Euler s Formula to find the missing number for each polyhedron. 1. Faces: 5 2. Faces: 7 3. Faces: 8 Edges: 7 Edges: 9 Edges: 18 Vertices: 5 Vertices: 6 Vertices: 7 Match each three-dimensional figure with its net A. B. C. D. Describe the cross section in each diagram Draw and describe a cross section formed by a rectangular prism and the plane described. 11. a horizontal plane intersecting opposite faces of the prism 12. a vertical plane intersecting the front and right faces of the prism Geometry Chapter 11 Lesson 11-1 Practice 1
2 Practice 11-2 Surface Areas of Prisms and Cylinders Find the lateral area of each cylinder to the nearest tenth d 10 cm 16 ft d 11 ft d 9 cm 8 cm 4. r 5. d 7 ft 6. 6 m Find (a) the lateral area and (b) the surface area of each prism. Round your answers to the nearest whole number m m cm 3 cm Find the surface area of each cylinder in terms of π. 13. r = 1 m 14. d 7 cm 15. r = 5 ft 4 cm 8 m 9 in. 25 m 12 in. 20 m 10 cm 16 in. 15 m d 3 cm 6 mm 8 ft 10 mm 15 ft 9 cm 9 mm 24 ft 50 ft 2 Lesson 11-2 Practice Geometry Chapter 11
3 Practice 11-3 Surface Areas of Pyramids and Cones Find the lateral area of each cone to the nearest whole number m 2 m 20 cm 9 cm 8 ft 6 ft Find the surface area of each cone in terms of π in. 3 cm 16 m 30 m 24 in. 4 cm Find the lateral area of each regular pyramid to the nearest tenth ft 40 cm Find the surface area of each regular pyramid to the nearest tenth cm ft 5 cm 5 m 9 cm 5 m Geometry Chapter 11 Lesson 11-3 Practice 3
4 Practice 11-4 Volumes of Prisms and Cylinders Find the volume of each cylinder to the nearest tenth cm m 75 cm 3 in. 1 in cm 6. 9 in. 7 in. 10 cm 1 8 cm Find the volume of each prism to the nearest whole number m 3 in. 3 ft 5 in. 8 in. 3 ft 9 ft 3 ft in. 6 in. 16 cm 17 in. 7 cm 7 cm 6 in. Find the volume of each composite figure to the nearest whole number m 4 ft 12 in. 8 ft 5 m 15 in. 3 ft 6 in. 11 in. 6 ft 16 m 9 m 4 Lesson 11-4 Practice Geometry Chapter 11
5 Practice 11-5 Volumes of Pyramids and Cones Find the volume of each pyramid cm cm 13 in. 32 in. 32 in. 45 cm 10 in. 10 in. 34 in m 2 36 yd 400 yd 2 Find the volume of each cone. Round your answers to the nearest tenth cm 12 in. 10 cm 10 in in. 15 m 1 13 in. Algebra Find the value of the variable in each figure x 15. x 6 8 cm 2 26 m 14 6 ft 28 m 18 cm Volume 1500 Volume 8π 9 x Volume 126 Geometry Chapter 11 Lesson 11-5 Practice 5
6 Practice 11-6 Surface Areas and Volumes of Spheres Find the surface area of each sphere. Round your answers to the nearest tenth m 14 in m Find the volume of each sphere. Round your answers to the nearest tenth mi 40 cm cm S.A. 90,790 cm 2 The volume of each sphere is given. Find the surface area. Round your answers to the nearest whole number. S.A. 45,240 yd V = 1200 ft V = 750 m V = 4500 cm 3 Use the given circumference to approximate the volume of each object. Round your answers to the nearest whole number. 16. a baseball with C = 24 cm 17. a basketball with C = 75 cm 18. a volleyball with C = 69 cm 19. a golf ball with C = 13.5 cm 6 Lesson 11-6 Practice Geometry Chapter 11
7 Practice 11-7 Areas and Volumes of Similar Solids The figures in each pair are similar. Use the given information to find the similarity ratio of the smaller figure to the larger figure S.A. = 49 cm 2 S.A. = 81 cm 2 V = 125 in. 3 V = 512 in. 3 Are the two solids in each pair similar? If so, give the similarity ratio. If not, write not similar in. 14 in ft 6. 5 ft 4 in in. 8 in. 9 ft 6 in. 15 cm The surface areas of two similar figures are given. The volume of the larger figure is given. Find the volume of the smaller figure cm 7. S.A. = 25 cm 2 8. S.A. = 16 in S.A. = 7 2 S.A. = 36 cm 2 S.A. = 25 in. 2 S.A. = 98 ft 2 V = 216 cm 3 V = 500 in. 3 V = 686 ft 3 The volumes of two similar figures are given. The surface area of the smaller figure is given. Find the surface area of the larger figure. 10. V = 8 ft V = 40 m V = 125 cm 3 V = 125 ft 3 V = 135 m 3 V = 1000 cm 3 S.A. = 4 ft 2 S.A. = 40 m 2 S.A. = 150 cm 2 4 m 8 m 6 m 20 cm 13. A cone-shaped pile of sand weighs 250 lb. How much does a similarly shaped pile of sand weigh if each dimension is six times as large? 14. A block of ice weighs 2 lb. How much does a similarly shaped block of ice weigh if each dimension is twice as large? Geometry Chapter 11 Lesson 11-7 Practice 7
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