4.5 Chapter Review
Review Exercises
Systems of Measurement
In the following exercises, convert between Imperial units. Round to the nearest tenth.
1. A picture frame is ![]() |
2. A floral arbor is ![]() |
3. A playground is ![]() |
4. Kelly is ![]() ![]() |
5. An orca whale in the Salish Sea weighs ![]() |
6. The height of Mount Shasta is ![]() |
7. How many tablespoons are in a quart? | 8. The play lasted ![]() |
9. Trinh needs ![]() |
10. Naomi’s baby weighed ![]() ![]() |
In the following exercises, solve, and state your answer in mixed units.
11. Every day last week, Pedro recorded the amount of time he spent reading. He read for ![]() |
12. John caught ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
13. Dalila wants to make pillow covers. Each cover takes ![]() ![]() |
14. Fouad is ![]() ![]() ![]() ![]() |
In the following exercises, convert between metric units.
15. Mount Everest is ![]() |
16. Donna is ![]() |
17. One cup of yogurt contains ![]() |
18. One cup of yogurt contains ![]() |
19. A bottle of water contained ![]() |
20. Sergio weighed ![]() |
In the following exercises, solve.
21. Selma had a ![]() ![]() |
22. Minh is ![]() ![]() |
23. One ounce of tofu provides ![]() ![]() |
24. One serving of cranberry juice contains ![]() ![]() |
In the following exercises, convert between Imperial and metric units. Round to the nearest tenth.
25. A college basketball court is ![]() |
26. Majid is ![]() |
27. Lucas weighs ![]() |
28. Caroline walked ![]() |
29. A box of books weighs ![]() |
30. Steve’s car holds ![]() |
In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.
31. ![]() |
32. ![]() |
33. ![]() |
34. ![]() |
In the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.
35. ![]() |
36. ![]() |
37. ![]() |
38. ![]() |
Understand Linear, Square, Cubic Measure
In the following exercises, would you measure each item using linear, square, or cubic measure?
39. amount of sand in a sandbag | 40. height of a tree |
41. size of a patio | 42. length of a highway |
In the following exercises, find a) the perimeter b) the area of each figure
43. ![]() |
44. ![]() |
Use Properties of Rectangles
In the following exercises, find the a) perimeter b) area of each rectangle
45. The length of a rectangle is ![]() ![]() |
46. The length of a rectangle is ![]() ![]() |
47. A sidewalk in front of Kathy’s house is in the shape of a rectangle ![]() ![]() |
48. A rectangular room is ![]() ![]() |
In the following exercises, solve.
49. Find the length of a rectangle with perimeter of ![]() ![]() |
50. Find the width of a rectangle with perimeter ![]() ![]() |
51. The area of a rectangle is ![]() ![]() |
52. The width of a rectangle is ![]() ![]() |
53. The length of a rectangle is ![]() ![]() |
54. The width of a rectangle is ![]() ![]() |
Use Properties of Triangles
In the following exercises, solve using the properties of triangles.
55. Find the area of a triangle with base ![]() ![]() |
56. Find the area of a triangle with base ![]() ![]() |
57. A triangular road sign has base ![]() ![]() |
58. If a triangular courtyard has sides ![]() ![]() ![]() |
59. A tile in the shape of an isosceles triangle has a base of ![]() ![]() |
60. Find the length of each side of an equilateral triangle with perimeter of ![]() |
61. The perimeter of a triangle is ![]() ![]() ![]() |
62. One side of a triangle is three times the smallest side. The third side is ![]() ![]() |
Use Properties of Trapezoids
In the following exercises, solve using the properties of trapezoids.
63. The height of a trapezoid is ![]() ![]() ![]() |
64. The height of a trapezoid is ![]() ![]() ![]() |
65. Find the area of the trapezoid with height ![]() ![]() ![]() |
66. A flag is shaped like a trapezoid with height ![]() ![]() ![]() |
Use Properties of Circles
In the following exercises, solve using the properties of circles. Round answers to the nearest hundredth.
67. A circular mosaic has radius a) circumference b) area of the mosaic |
68. A circular fountain has radius a) circumference b) area of the fountain |
69. Find the diametre of a circle with circumference ![]() |
70. Find the radius of a circle with circumference ![]() |
Find the Area of Irregular Figures
In the following exercises, find the area of each shaded region.
71. ![]() |
72. ![]() |
73. ![]() |
74. ![]() |
75. ![]() |
76. ![]() |
Find Volume and Surface Area of Rectangular Solids
In the following exercises, find the a) volume b) surface area of the rectangular solid
77. A rectangular solid with length ![]() ![]() ![]() |
78. A cube with sides that are ![]() |
79. A cube of tofu with sides ![]() |
80. A rectangular carton with length ![]() ![]() ![]() |
Find Volume and Surface Area of Spheres
In the following exercises, find the a) volume b) surface area of the sphere.
81. a sphere with radius ![]() |
82. a sphere with radius ![]() |
83. a baseball with radius ![]() |
84. a soccer ball with radius ![]() |
Find Volume and Surface Area of Cylinders
In the following exercises, find the a) volume b) surface area of the cylinder
85. A cylinder with radius ![]() ![]() |
86. A cylinder with diametre ![]() ![]() |
87. A juice can with diametre ![]() ![]() |
88. A cylindrical pylon with diametre ![]() ![]() |
Find Volume of Cones
In the following exercises, find the volume of the cone.
89. A cone with height ![]() ![]() |
90. A cone with height ![]() ![]() |
91. A cone-shaped water cup with diametre ![]() ![]() |
92. A cone-shaped pile of gravel with diametre ![]() ![]() |
Review Answers
1. 3.5 feet | 3. 15 yards | 5. 9000 pounds |
7. 64 tablespoons | 9. 1.9 gallons | 11. 7 hours 10 minutes |
13. 3 yards, 12 inches | 15. 8.85 kilometres | 17. 13,000 milligrams |
19. 0.65 litres | 21. 855 millilitre s | 23. 10,000 milligrams |
25. 25.6 metres | 27. 171.6 pounds | 29. 11.4 kilograms |
31. ![]() |
33. ![]() |
35. ![]() |
37. ![]() |
39. cubic | 41. square |
43.
a) 8 units b) 3 sq. units |
45.
a) 140 m b) 1176 sq. m |
47.
a) 98 ft. b) 180 sq. ft. |
49. 25 cm | 51. 62 m | 53. 24.5 in., 12.5 in. |
55. 135 sq. in. | 57. 600 sq. in. | 59. 7 in., 7 in. |
61. 17 ft., 20 ft., 22 ft. | 63. 100 sq. ft. | 65. 675 sq. m |
67.
a) 18.84 m b) 28.26 sq. m |
69. 48 in. | 71. 30 sq. units |
73. 300 sq. units | 75. 199.25 sq. units | 77.
a) 630 cu. cm b) 496 sq. cm |
79.
a) 15.625 cu. in. b) 37.5 sq. in. |
81.
a) 267.95 cu. yd. b) 200.96 sq. yd. |
83.
a) 12.76 cu. in. b) 26.41 sq. in. |
85.
a) 75.36 cu. yd. b) 100.48 sq. yd. |
87.
a) 753.6 cu. cm b) 477.28 sq. cm |
89. 5.233 cu. m |
91. 4.599 cu. in. |
Practice Test
In the following exercises, solve using the appropriate unit conversions.
1. One cup of milk contains ![]() ![]() |
2. Azize walked ![]() ![]() |
3. Janice ran ![]() ![]() |
4. Larry had ![]() ![]() ![]() |
5. Use the formula ![]() ![]() ![]() |
6. Yolie is ![]() ![]() |
7. A triangular poster has base ![]() ![]() |
8. The length of a rectangle is ![]() ![]() |
9. A circular pool has diametre ![]() |
10. A trapezoid has height ![]() ![]() ![]() |
11. Find the volume of a rectangular room with width ![]() ![]() ![]() |
12. Find the area of the shaded region. Round to the nearest tenth. |
13. A traffic cone has height ![]() ![]() |
14. A coffee can is shaped like a cylinder with height ![]() ![]() |
Practice Test Answers
1. .276 grams | 2. 23760 feet | 3. 9.317 miles |
4. 211 minutes, 3 hours and 31 minutes | 5. 95°F | 6. 160 centimetres |
7. 2,200 square centimetres | 8. 11 feet, 9 feet | 9. 282.6 inches |
10. 301 ![]() |
11. 1,440 cubic feet | 12. 40.3 square units |
13. 31,400 cubic inches or 31415.9 cubic inches |
14. a) 376.8 square inches or 377 square inches b) 549.5 cubic inches or 549.8 cubic inches |