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45 4. 42. The figure shows a circle inside a square. Which procedure should be used to find the area of the shaded region? A rectangular prism has a length of 7.5 inches, a width of 1.4 inches, and a volume of 86.4 cubic inches. What is the height, in inches, of the rectangular prism? Round to the nearest tenth. 46. Which of the following conclusions about the number of rebounds per game and the height of a player is best supported by the scatter plot below? Rebounds per Game 12 11 10 Number A. Find the area of the square and then subtract the area of the circle. B. Find the area of the circle and then subtract the area of the square. C. Find the perimeter of the square and then subtract the circumference of the circle. D. Find the circumference of the circle and then subtract the perimeter of the square. 9 8 7 6 5 5’8’ 5’10’ 6’ 6’2” 6’4” Height 43. What is the value of x in the figure below? x° A. The number of rebounds increases as the player’s height decreases. B. The number of rebounds is unchanged as the player’s height increases. C. The number of rebounds increases as the player’s height increases. (x + 2)° A. B. C. D. 44. 72° 53 60 90 180 They hypotenuse of a right triangle measures 15 feet. If one of the legs measures 9 feet, what is the length of the other leg? D. There is no relationship between the number of rebounds and the player’s height. 47. What is the volume of a sphere with a diameter of 15 inches? A. 2,000 in3 B. 1,767.1 in3 C. 1,325.4 in3 D. 421.9 in3 48. Which point on the number line below is closest to ? A 1 2 3 4 5 6 B C 7 8 D 9 52. Which of the following is the approximate surface area of the figure shown below? 10 11 A. point A 8 in. B. point B C. point C 16 in. D. point D 30 in. A. 1,170.6 in2 B. 1,170.6 in3 C. 2,171.0 in3 49 . In the figure below, every angle is a right angle. What is the area of the figure in square units? D. 2,171.0 in2 6 2 3 3 3 2 4 2 4 3 2 6 50. Mr. Brauen’s farm has a square cornfield. Which of the following is a possible area for the cornfield if the sides are measured in whole numbers? A. 164,000 ft2 B. 170,150 ft2 C. 170,586 ft2 D. 174,724 ft2 51. Allison, Carl, and Theo drove from Austin, Texas, to Los Angeles, California, a distance of 1,224 miles. Allison drove of the total distance, Carl drove 40%, and Theo drove the remainder. How many miles were driven by the person who drove the greatest distance? A. 326.4 mi B. 408 mi C. 489.6 mi D. 897.6 mi 53. Two similar prisms have surface areas that are 95 square inches and 1,520 square inches, respectively. How many times larger is the second prism than the first prism? A. 2 times as large B. 3 times as large C. 4 times as large D. 16 times as large 54. A movie theater has two different containers for popcorn. A 8 in. B 11 in. 9 in. 5.5 in. 5.5 in. a.) Which container will hold more popcorn? Justify your selection. b.) Which container requires less packaging to construct? Explain your reasoning. NAME DATE PERIOD Student Recording Sheet SCORE Use this recording sheet with the Standardized Test Practice pages. Fill in the correct answer. For gridded-response questions, write your answers in the boxes on the answer grid and fill in the bubbles to match your answers. 1. A B C D 7. A B C D 2. F G H I 8. 9. F G H I 10. A B C D 3. 4. 5. A B C D 11. F G H I 6. F G H I 12. A B D C Extended Response Record your answers for Exercise 13 on the back of this paper. 178 Course 3 • Chapter 8 Volume and Surface Area