Chapter Test A For use after Chapter 12

Transcription

1 Chapter Test A For use after Chapter Tell whether the solid is a polyhedron. If it is, find the number of faces, vertices, and edges Determine whether the polyhedron is regular and/or conve Name the solid that can be folded from the net In Eercises 9 3, find the surface area and lateral area of the solid. The pyramids are regular and the prisms, cones, and cylinders are right. Round your answers to two decimal places, if necessary cm. 9 cm 4 in.. 6 in. 6 in. 8 ft 5 ft 7 mm 8 ft 8 mm yd 4. Find the surface area. 7 m 3. 8 yd 5 yd Chapter Assessment Book

2 Chapter Test A continued For use after Chapter Find the volume of the solid. The pyramids are regular and the prisms, cones, and cylinders are right. Round your answers to two decimal places, if necessary cm 6. 8 m cm m 6 m 3 in. 7 yd in. 6.5 in. 3 yd m ft ft 4 ft 9 ft Tell whether the pair of right solids is similar. If the pair is similar, find the scale factor cm 30 cm cm 36 cm ft 6 ft 8 ft 2 ft 6 ft 2 ft 23. A rectangular swimming pool is 25 feet long and feet wide. The water in the pool has a depth of 4 feet. What is the volume of the water in the pool? 24. An aquarium has a width of 48 inches, a length of 30 inches, and a depth of 6 inches. Another aquarium has a width of 80 inches and a depth of 0 inches. The two aquariums are similar. What is the length of the larger aquarium? Chapter Assessment Book 235

3 Chapter Test B For use after Chapter Describe the solid. If it is a polyhedron, find the number of faces, vertices, and edges Use Euler s Theorem to find the value of n. 4. Faces: 8 5. Faces: 9 6. Faces: n Vertices: Vertices: n Vertices: 6 Edges: n Edges: 2 Edges: 24 Find the surface area and lateral area of the solid. The pyramids are regular and the prisms, cones, and cylinders are right. Round your answers to two decimal places, if necessary. 0 ft 6.8 m ft 9 ft 3.5 m in cm 6 cm. 4 yd. 27 in. 32 m 40 m 20 m Solve for given the surface area S of the right solid. Round your answer to the nearest meter. 3. S = 6372 m 2 4. S = 325 m 2 5. S = m m m 4.5 m 6 m 236 Chapter Assessment Book

4 Chapter Test B continued For use after Chapter Find the volume of the solid. The pyramids are regular and the prisms, cones, and cylinders are right. Round your answers to two decimal places, if necessary cm 9 in. 8 cm 8 cm 3.7 in km m 2. Find the surface area and volume of the solid. The pyramids are regular and the prisms, cones, and cylinders are right. Round your answer to two decimal places, if necessary. 20. m 2. 5 cm 7 m cm m 5 m 8 cm Find the volume of the solid. The cylinders and prisms are right. Round your answer to two decimal places, if necessary m 0.9 m 5 m ft 2 ft 0 ft 24. Two cones have a scale factor of 2 : 5. The smaller cone has a surface area of 96π square yards. Find the surface area of the larger cone. Write your answer in terms of π. 25. Two spheres have a scale factor of 3 : The smaller sphere has a volume of about 54π cubic meters. Find the volume of the larger sphere. Write your answer in terms of π. 5 ft 7 ft Chapter Assessment Book 237

5 Chapter Test C For use after Chapter Describe the solid. If it is a polyhedron, find the number of faces, vertices, and edges Name the solid that can be folded from the net In Eercises 6 8, find the surface area and lateral area of the solid. Round your answers to two decimal places, if necessary ft 6 m 25 ft 4 yd 7 yd 9 yd 5.5 m 9. Find the surface area. 75 mm In Eercises 0 3, find the volume of the solid. The pyramids are regular and the prisms are right. Round your answers to two decimal places, if necessary cm 7 cm 0 m 6 cm 5.4 m 238 Chapter Assessment Book

6 Chapter Test C continued For use after Chapter. 9 mm 3. C 5 p in. mm. 25 mm 20 mm Find the volume of the solid. The cylinders and prisms are right. Round your answer to two decimal places, if necessary cm cm 2. in. 5 in. 5 in. 6 cm 5 in. 2. in. Tell whether the pair of right solids is similar. If the pair is similar, find the scale factor ft 3 m 4.5 m 4 ft 2 ft 8 ft 2 m 3 m 0 ft 8 ft A steel plate has a length of.5 feet, a width of foot, and a thickness of } 3 inch. A drill makes a hole in the plate with a -inch diameter. 4 3 in. 4 ft.5 ft a. What is the surface area of the steel plate? Round your answer to the nearest square inch. b. What is the volume of the steel plate? Round your answer to the nearest cubic inch. Chapter Assessment Book 239

7 Chapter, continued square units ,62.7 cm , 36.3% , 43.2% Standardized Test A. B 2. D 3. C 4. C 5. C 6. B B B 9. A C. B. D 3. A 4. D 5. B a. 600 ft 2 b. No; it will be 2 2, or 4, times greater than the current area. a. 37 in. b. 3. in. 2 c..6 in. d in 2 Standardized Test B. C 2. A 3. B 4. B 5. A 6. C D A 9. B B. C. A 3. C 4. D 5. B in. 2 a. 86,400 ft 2 b. No; the length and width ratio of the new warehouse to the old warehouse is 3 : 2, so the area ratio is 9 : 4. a in. b. 20. in. 2 c. 85 in. d in. 2 Standardized Test C. B 2. B 3. D 4. A 5. B 6. B C A 9. D C. B. C 3. B 4. A 5. D a..25: b. Multiply the area of the eisting park by the square of.25; 3, ft 2 a. 4π in. b. 49π in. 2 c. 9.6 in. d..25 in. 2 SAT/ACT Chapter Test. C 2. B 3. B 4. D 5. E 6. D C 8 A 9. B A. E Performance Assessment. If the ratio of the side lengths is a : b, then the ratio of the perimeters is a : b and the ratio of the areas is a 2 : b 2. If the ratio of the perimeters is c : d, then the ratio of the side lengths is c : d and the ratio of the areas is c 2 : d 2. If the ratio of the areas is e : f, then the ratio of the side lengths is Ï } e : Ï } f and the ratio of the perimeters is Ï } e : Ï } f. 2. a. 04 yd; 80 yd b. about, yd 2 c yd 2 d. about 38 yd 2 e. The probability is the ratio of the favorable waiting time to the maimum waiting time; 5 } Chapter Quiz. 5 faces 2. Check sketches; 632 cm 2, 440 cm 2 3. Check sketches; 528 in 2, 480 in ft 2 ; 8423 ft 2 5. Check sketches; 420 ft 2, 320 ft m 2 ; 86.8 m 2 Quiz in cm ft ,3.89 m cm 3 Quiz in. 2 ; in ft 2 ; ft cm 2 ; 4,37 cm ft 2, 480 ft cm 2, 80, cm : 7 Chapter Test A. polyhedron; 5 faces, 6 vertices, 9 edges 2. polyhedron; 7 faces, 0 vertices, 5 edges 3. not a polyhedron 4. nonregular, concave 5. regular, conve 6. nonregular, conve triangular prism pentagonal pyramid cm 2 ; cm ft 2 ; 208 ft in. 2 ; 60 in mm 2 ; 4226 mm yd 2 ; 0 yd m m cm in yd in ft 3 2. similar, } in. 22. not similar ft3 Chapter Test B. polyhedron; 7 faces, 7 vertices, edges 2. not a polyhedron 3. polyhedron; 0 faces, 6 vertices, 24 edges ft 2 ; 460 ft m 2 ; m cm 2 ; 37.8 cm in. 2 ; 3804 in yd m 2 ; 920 m m 4. 7 m m cm 3 ANSWERS Assessment Book A9

8 Chapter, continued ANSWERS 59 in km m S m 2, V 5 7 m 3 2. S cm 2, V cm m ft π yd π m 3 Chapter Test C. polyhedron; 8 faces, vertices, 8 edges 2. polyhedron; 7 faces, 0 vertices, 5 edges 3. not a polyhedron 4. heagonal prism 5. cone ft 2 ; 89 ft m 2 ; 502 m yd 2 ; yd ,67.46 mm cm m mm in cm in similar, } 2 3 similar, } 2 5 a. 478 in. 2 b. 6 in. 3 Standardized Test A. A 2. B 3. B 4. D 5. C 6. A C B 9. C A. B. B 3. C 4. D 5. A 6. B D a. 33,532 in. 3 b in. 3 ; No, the volume is one-eighth the larger volume because the ratio of the radii is }, making the ratio of the 2 volumes equal to } a in. 2 b. 45, in. 3 c. 53 min d. 98 gal Standardized Test B. C 2. A 3. D 4. B 5. A 6. C B B 9. A D. B. B 3. A 4. A 5. D 6. C D 588 ft 3 9. a in. 2 b. No; in a ft 2 b ft 3 c min d. water: ft 3 ; syrup; 255 ft 3 Standardized Test C. C 2. B 3. C 4. D 5. C 6. B B A 9. B C. A. D 3. B 4. D 5. C 6. D D a. 0, in. 3 b in. 3 ; No, the volume is } the larger volume because the ratio 64 of the diameters is }, making the ratio of the 4 volumes equal to } a. 604 ft 2 b. 36 ft 3 c. 5 min d L SAT/ACT Chapter Test. A 2. D 3. B 4. C 5. C 6. D C B 9. B C. E Performance Assessment. Find the volume of a right prism or right cylinder by multiplying the area of the base by the height. Find the volume of a regular pyramid or right cone by finding one third of the product of the area of the base and the height. Find the area of a sphere by finding four thirds of the product of pi and the cube of the radius. 2. a. 5 ft 3 ; 46 ft 2 b. 3.5 ft 3 c. about 744 in. 3 d. about 422 in. 3 ; 70 in. 2 e. Subtract the volume of the pyramid that is cut off from the main pyramid. Chapters 7 Cumulative Test , y 5 0 Ï } Ï } 3, y , y 5 9 Ï } 3 54 ft m B 5 358, AC ø 6.9, BC < m G 5 238, FG < 22, FH < 6 m P < 40.48, m Q < 49.68, PQ < units , similar X9 y Y9 Z9 20. F G 9. y X9 Z9 2. f5 28 7g 22. [26] A9 B9 C F 222 0G F G Y9 A20 Assessment Book