C in. 2. D in Find the volume of a 7-inch tall drinking glass with a 4-inch diameter. C lateral faces. A in. 3 B in.

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1 Standardized Test A For use after Chapter Multiple Choice. Which figure is a polyhedron? A B 7. Find the surface area of the regular pyramid. A 300 ft 2 B 340 ft 2 C 400 ft 2 C D D 700 ft 2 2. A polyhedron has 0 vertices and 7 faces. How many edges does it have? 8. Find the lateral area of the right cone. A 50.8 in. 2 B 88.5 in. 2 A B 5 C 7 D 9 C in The two congruent parallel faces of a prism are called?. A nets B bases D 25.3 in Find the volume of a 7-inch tall drinking glass with a 4-inch diameter. C lateral faces D lateral edges A in. 3 B in Find the surface area of the right prism. A 39 ft 2 B 5 ft 2 C 575 ft 2 D 638 ft 2 5. Find the surface area of the right cylinder. A cm 2 B cm 2 C cm 2 D cm 2 6. The height of a lateral face of a pyramid is called the?. A slant height B base edge C in. 3 D in Find the volume A 252 m 3 B 3 m 3 C 372 m 3 D 432 m 3. Find the volume of the pyramid. A 0 m 3 B 60 m 3 C 240 m 3 D 480 m 3 C lateral edge D vertex of the pyramid 240 Chapter Assessment Book

2 Standardized Test A continued For use For use after Chapter. Find the volume of the cone. A in. 3 B 866. in. 3 Gridded Response 8. Find the volume C in. 3 D in A? of a sphere is a segment whose endpoints are on the sphere. A radius C chord B tangent Short Response 4. Find the surface area of a ball with a radius of 3 inches. A in. 2 B in. 2 C in. 2 D in A globe has a 20-inch radius. a. Find the volume of the globe. b. Find the volume of a globe with half the radius. Is the volume half that of the larger globe? Explain. 5. A? separates a sphere into two congruent halves. A great circle C hemisphere 6. Find the volume A 50.8 cm 3 B cm 3 C cm 3 D cm 3 B great sphere D half circle 7. Which are the dimensions of a prism that is similar to a prism with a length of 6 inches, a width of 4 inches, and a height of 0 inches? A l 5 2 in., w 5 2 in., h 5 4 in. B l 5 2 in., w 5 3 in., h 5 3 in. C l 5 3 in., w 5 in., h 5 4 in. D l 5 3 in., w 5 2 in., h 5 5 in. Extended Response 20. A water-storage tank is shaped like a cylinder. It has a diameter of 36 inches and a height of 45 inches. a. Find the surface area of the tank. b. Find the volume of the tank. c. The tank is leaking. If the tank started out full, how long would it take for all the water to leak out if it is leaking at a rate of 300 cubic inches per minute? Round to the nearest minute. d. One gallon equals 23 cubic inches. About how many gallons of water does the tank hold? Chapter Assessment Book 24

3 Standardized Test B For use after Chapter Multiple Choice. Which figure is not a polyhedron? A B 7. Find the surface area of the regular pyramid. A 656 m 2 B 2736 m 2 C 4896 m 2 D 284 m 2 45 m 24 m C D 2. Which equation represents Euler s Theorem? A F V 5 E 2 B F E 5 V 2 C E V 5 F 2 D F V 5 E The two-dimensional representation of the faces of a polyhedron is called?. A lateral area C lateral edge B surface area D a net 8. Find the lateral area 5 in. of the right cone. A 88.5 in. 2 B in. 2 C in. 2 D in. 2 in. 9. Find the volume of a 6-inch tall glass with a 3-inch diameter. A 42.4 in. 3 B in. 3 C 54 in. 3 D in Find the surface area of the right prism. 8 ft 22 ft 30 ft 0. Find the volume of the solid (in cubic meters). A ft 2 B ft 2 C ft 2 D ft 2 5. Find the surface area 20 cm of the right cylinder. 7 cm A cm 2 B 2960 cm 2 C cm 2 D 480 cm 2 6. A polyhedron in which the base is a polygon and the lateral faces are triangles with a common vertex is a?. A prism B cone C pyramid D dodecahedron A 780 m 3 B 840 m 3 C 570 m 3 D 960 m 3. Find the volume of the pyramid. A 700 ft 3 B ft 3 C ft 3 D 850 ft 3 0 ft 7 ft 242 Chapter Assessment Book

4 Standardized Test B continued For use For use after Chapter. Find the volume of the cone. A in. 3 B in. 3 C in. 3 D in. 3 0 in. 4 in. 4 in. 7. Which prism is similar to a prism with a length of 5 inches, width of 2 inches, and a height of 2 } 2 inches? A l 5 4 in., w 5 in., h 5 } 2 in. B l 5 0 in., w 5 7 in., h 5 7 } 2 in. 3. The set of all points in space equidistant from a given point is a?. A sphere C circle B plane 4. Find the surface area of a globe with a 24-inch diameter. A in. 2 B in. 2 C in. 2 D in. 2 C l 5 0 in., w 5 4 in., h 5 4 } 2 in. D l 5 2 in., w 5 } 4 in., h 5 in. 5 Gridded Response 8. Find the volume 4 ft 5. If an intersecting plane contains the center of a sphere, then the intersection is a? of the sphere. A hemisphere C half circle 6. Find the volume 3 cm 8 cm B great sphere A cm 3 B 88.4 cm 3 C 3.0 cm 3 D 4.3 cm 3 6 ft Short Response 5 ft 9. A ball has a 0-inch radius. a. Find the volume of the ball. b. Find the volume of a ball with half the radius. Is the volume half that of the larger ball? Explain. Extended Response 20. A stainless steel tank is 8 feet tall with a -foot diameter. a. Find the surface area of the tank. b. Find the volume of the tank. c. How long will it take to drain } 7 of a tank 8 at a rate of 3.5 cubic feet per minute? d. If carbonated water and corn syrup are mixed at a 5 : 2 ratio, how much of each do you need to fill the tank? Chapter Assessment Book 243

5 Standardized Test C For use after Chapter Multiple Choice. Which figure is a concave polyhedron? A C B D 2. A polyhedron has vertices and 8 edges. How many faces does it have? A 6 B 8 C 8 D Find the surface area of the regular pyramid. A 4896 in. 2 B 6624 in. 2 C 7200 in. 2 D 8640 in Find the lateral area of the right cone. A mm 2 B mm 2 C 0,78.76 mm 2 D 4, mm 2 3. How many rectangles are in the net of a right octagonal prism? A 4 B 6 C 8 D 0 4. Find the surface area of the right prism. A,709 cm 2 B 4,30 cm 2 C 5,477 cm 2 D 7,280 cm 2 5. The surface area of the right cylinder is 36π square inches. What is the height of the cylinder? A 6.5 in. C 3 in. B 8.5 in. D 7 in. 6. In a pyramid, the intersection of the base and a lateral face is a?. A vertex B base edge C lateral edge D slant height 9. Find the volume of a 4-inch tall paint can with an -inch diameter. A in. 3 B in. 3 C in. 3 D in Find the volume A 25,872 mm 3 B 26,950 mm 3 C 29,568 mm 3 D 30,800 mm 3. Find the volume of the pyramid. A 620 in. 3 B 672 in. 3 C 930 in. 3 D 6 in Chapter Assessment Book

6 Standardized Test C continued For use For use after Chapter. Find the volume of the cone. A cm 3 B 39.4 cm 3 C 0.6 cm 3 D 7.2 cm 3 3. A? intersects a sphere in exactly one point. A radius C chord B tangent 4. A sphere has a surface area of 225π square inches. What is the diameter of the sphere? A 5 in. B 7.5 in. C 0 in. D 5 in. 5. Which statement is false? A A sphere has an infinite number of great circles. B A great circle always divides a sphere into two congruent halves. C The intersection of a plane and sphere is always a great circle. D The circumference of a great circle is always the circumference of its sphere. 6. Find the volume A 0.98 ft 3 B 2.62 ft 3 C 4.55 ft 3 D 6.7 ft 3 Gridded Response 8. Find the volume Short Response 9. A beach ball has a 27-inch diameter. a. Find the volume of the ball. b. Find the volume of a ball with one-fourth the diameter. Is the volume one-fourth that of the beach ball? Explain. Extended Response 20. A water-storage tank is shaped like a cylinder. It has a diameter of 2 } 3 feet and a 4 height of 6 } 2 feet. a. Find the surface area of the tank. b. Find the volume of the tank. c. To the nearest minute, how long will it take to drain half the tank at a rate of } cubic feet per minute? 4 d. One cubic foot is about 28.3 liters. About how many liters of water does the tank hold? 7. The volume of a solid is 08 cubic yards. If each dimension of the solid is multiplied by 2.5, what will be the volume of the larger solid? A 270 ft 3 B 80 ft 3 C 675 ft 3 D ft 3 Chapter Assessment Book 245

7 Chapter, continued ANSWERS in km m S m 2, V 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. hexagonal prism 5. cone ft 2 ; 8.89 ft m 2 ; m yd 2 ; yd ,67.46 mm cm m mm in cm in similar, } similar, } a. 478 in. 2 b. 6 in. 3 Standardized Test A. A 2. B 3. B 4. D 5. C 6. A 7. C 8. B 9. C 0. A. B. B 3. C 4. D 5. A 6. B 7. D a. 33,50.32 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 7. B 8. B 9. A 0. D. B. B 3. A 4. A 5. D 6. C 7. D ft 3 9. a in. 2 b. No; in a ft 2 b ft 3 c min d. water: ft 3 ; syrup; ft 3 Standardized Test C. C 2. B 3. C 4. D 5. C 6. B 7. B 8. A 9. B 0. C. A. D 3. B 4. D 5. C 6. D 7. 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 ft 2 b ft 3 c. 5 min d L SAT/ACT Chapter Test. A 2. D 3. B 4. C 5. C 6. D 7. C 8. B 9. B 0. 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 in. 3 d. about in. 3 ; 70 in. 2 e. Subtract the volume of the pyramid that is cut off from the main pyramid. Chapters 7 Cumulative Test. x x x x 5 0, y 5 0 Ï } 2 5. x 5 25 Ï } 3, y x 5 27, y 5 9 Ï } ft 8. m B 5 358, AC ø 6.9, BC < m G 5 238, FG < 27.2, FH < m P < 40.48, m Q < 49.68, PQ < units , 8 4. x x x similar 8. X9 y Y9 Z9 20. F G x 9. y X9 Z9 2. f5 28 7g 22. [26] A9 B9 C F 222 0G F G Y9 x A20 Assessment Book