SCORE Chapter 8 Test, Form 3A - Mrs. Downs Math Classes

1 NAME _____ DATE _____ PERIOD _____. Chapter 8 Test, form 3A SCORE _____. Write and solve an equation to determine the value of x in each figure. (C). 1. 2. (3x) 84 46 . (4x) . 3x = 84; 28 4x + 46 = 90; 11. 3. 4. 160 . x . (5x) . 75 . x + (180 - 160) = 90; 70 5x = 75; 15. Determine the value of x in each triangle. Then classify the triangle as acute, right, or obtuse. (C). 5. 29 x . 6. 42 . 88 48 . x . Copyright McGraw-Hill Education. Permission is granted to reproduce for classroom use. 63; acute 90; right Determine the volume of each figure. Round to the nearest tenth if necessary. (A). 7. 8. 20 m in. 5m 18 m in. 2 in. in 3 600 m 3. 9. A storage shed with a flat roof is 4 yards long 10. Determine the area of the circle. _. by 3 yards wide by 2 1 yards tall. A cubic yard _. Use or 22 for . Round to 34 in. 2 7. is equal to 27 cubic feet. How many cubic feet the nearest tenth. (C). of storage space does the shed enclose? in 2. 3. (A) 810 ft Course 2 Chapter 8 Develop Geometry with Algebra 91.

2 NAME _____ DATE _____ PERIOD _____. Chapter 8 Test, form 3A (continued) SCORE _____. 11. Determine the volume of the square pyramid at the right. 13 m Round to the nearest tenth. (A). 13 m 11 m m 3. 12. A carpenter is framing a rectangular wooden block that is 20 inches long, 12 inches wide, and 10 inches high. He wants to paint the lateral surface of the wooden block. He has one container of paint that covers 400 square inches. Does he have enough paint to paint the lateral surface area of the block? Justify your answer. (D). Sample answer: no; the lateral surface area of the wooden block is 640 in 2 and that is greater than 400 in 2. 13. A green box measures 4 feet by 5 feet by feet. An orange box measures 5 feet by feet by 6 feet. Which box has greater volume? Explain. (D). green; 130 ft 3 > 105 ft 3. 14. A drawer is shaped like a rectangular prism. It has a length of 17 inches and a height of 6 inches. The volume is 1,428 cubic inches. Find the width of the drawer. (A).

3 14 in. 15. A rectangular pyramid has a volume of 190 cubic centimeters. Find two possible sets Copyright McGraw-Hill Education. Permission is granted to reproduce for classroom use. of measurements for the base area and height of the pyramid. (A). Sample answer: base area equals 57 cm 2 and height equals 10 cm;. base area equals 38 cm 2 and height equals 15 cm Use a problem-solving model to solve each problem. 4m 5m 16. The circumference of a top of the circular table 17. Determine the volume is centimeters. What is the area of the top and surface area of the of the table? Use for . Round to the composite figure. 12 m nearest whole number. (Hint: The circumference (A), (D). of a circle C is C = 2 r, where r is the radius.). 2. 480 m 3, 384 m 2. (C) 113 cm 6m 6m 18. If the height and the base length of a square 19. John wants to cut the circular pyramid are each doubled, how does the piece from a wooden plank 12 cm volume of the pyramid change? (A) and make a design as shown.

4 The volume is 8 times the original Determine the area of the shaded region. Use for . volume. (C) cm 2. 92 Course 2 Chapter 8 Develop Geometry with Algebra