{"id":624,"date":"2020-08-21T19:41:19","date_gmt":"2020-08-21T23:41:19","guid":{"rendered":"https:\/\/opentextbc.ca\/introalgebra\/chapter\/3-5-chapter-review\/"},"modified":"2021-03-24T10:53:51","modified_gmt":"2021-03-24T14:53:51","slug":"3-5-chapter-review","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/introalgebra\/chapter\/3-5-chapter-review\/","title":{"raw":"3.5 Chapter Review","rendered":"3.5 Chapter Review"},"content":{"raw":"[latexpage]\n

Review Exercises<\/h1>\n

Systems of Measurement<\/h2>\nIn the following exercises, convert between Imperial units. Round to the nearest tenth.\n\n\n\n\n\n\n\n
1.\u00a0A picture frame is \\(42\\) inches wide. Convert the width to feet.<\/td>\n2. A floral arbor is \\(7\\) feet tall. Convert the height to inches.<\/td>\n<\/tr>\n
3. A playground is \\(45\\) feet wide. Convert the width to yards.<\/td>\n4.\u00a0Kelly is \\(5\\) feet \\(4\\) inches tall. Convert her height to inches.<\/td>\n<\/tr>\n
5. An orca whale in the Salish Sea weighs \\(4.5\\) tons. Convert the weight to pounds.<\/td>\n6. The height of Mount Shasta is \\(14,179\\) feet. Convert the height to miles.<\/td>\n<\/tr>\n
7. How many tablespoons are in a quart?<\/td>\n8. The play lasted \\(1\\frac{3}{4}\\) hours. Convert the time to minutes.<\/td>\n<\/tr>\n
9. Trinh needs \\(30\\) cups of paint for her class art project. Convert the volume to gallons.<\/td>\n10. Naomi\u2019s baby weighed \\(5\\) pounds \\(14\\) ounces at birth. Convert the weight to ounces.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nIn the following exercises, solve, and state your answer in mixed units.\n\n\n\n\n
11. Every day last week, Pedro recorded the amount of time he spent reading. He read for \\(50,25,83,45,32,60,\\text{and}\\phantom{\\rule{0.2em}{0ex}}135\\) minutes. How much time, in hours and minutes, did Pedro spend reading?<\/td>\n12. John caught \\(4\\) lobsters. The weights of the lobsters were \\(1\\) pound \\(9\\) ounces, \\(1\\) pound \\(12\\) ounces, \\(4\\) pounds \\(2\\) ounces, and \\(2\\) pounds \\(15\\) ounces. What was the total weight of the lobsters?<\/td>\n<\/tr>\n
13. Dalila wants to make pillow covers. Each cover takes \\(30\\) inches of fabric. How many yards and inches of fabric does she need for \\(4\\) pillow covers?<\/td>\n14. Fouad is \\(6\\) feet \\(2\\) inches tall. If he stands on a rung of a ladder \\(8\\) feet \\(10\\) inches high, how high off the ground is the top of Fouad\u2019s head?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nIn the following exercises, convert between metric units.\n\n\n\n\n\n
15. Mount Everest is \\(8,850\\) metres tall. Convert the height to kilometres.<\/td>\n16. Donna is \\(1.7\\) metres tall. Convert her height to centimetres.<\/td>\n<\/tr>\n
17. One cup of yogurt contains \\(13\\) grams of protein. Convert this to milligrams.<\/td>\n18. One cup of yogurt contains \\(488\\) milligrams of calcium. Convert this to grams.<\/td>\n<\/tr>\n
19. A bottle of water contained \\(650\\) millilitre s. Convert this to litres.<\/td>\n20. Sergio weighed \\(2.9\\) kilograms at birth. Convert this to grams.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nIn the following exercises, solve.\n\n\n\n\n
21. Selma had a \\(\\text{1-liter}\\) bottle of water. If she drank \\(145\\) millilitres, how much water, in millilitres, was left in the bottle?<\/td>\n22. Minh is \\(2\\) metres tall. His daughter is \\(88\\) centimetres tall. How much taller, in metres, is Minh than his daughter?<\/td>\n<\/tr>\n
23. One ounce of tofu provides \\(2\\) grams of protein. How many milligrams of protein are provided by \\(5\\) ounces of tofu?<\/td>\n24. One serving of cranberry juice contains \\(30\\) grams of sugar. How many kilograms of sugar are in \\(30\\) servings of cranberry juice?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nIn the following exercises, convert between Imperial and metric units. Round to the nearest tenth.\n\n\n\n\n\n
25. A college basketball court is \\(84\\) feet long. Convert this length to metres.<\/td>\n26. Majid is \\(69\\) inches tall. Convert his height to centimetres.<\/td>\n<\/tr>\n
27. Lucas weighs \\(78\\) kilograms. Convert his weight to pounds.<\/td>\n28. Caroline walked \\(2.5\\) kilometres. Convert this length to miles.<\/td>\n<\/tr>\n
29. A box of books weighs \\(25\\) pounds. Convert this weight to kilograms.<\/td>\n30. Steve\u2019s car holds \\(55\\) litres of gas. Convert this to gallons.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nIn the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.\n\n\n\n\n
31. \\(23\\)\u00b0F<\/td>\n32. \\(95\\)\u00b0F<\/td>\n<\/tr>\n
33. \\(64\\)\u00b0F<\/td>\n34. \\(20\\)\u00b0F<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nIn the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.\n\n\n\n\n
35. \\(-5\\)\u00b0C<\/td>\n36. \\(30\\)\u00b0C<\/td>\n<\/tr>\n
37. \\(24\\)\u00b0C<\/td>\n38. \\(-12\\)\u00b0C<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n
\n

Understand Linear, Square, Cubic Measure<\/h2>\n

In the following exercises, would you measure each item using linear, square, or cubic measure?<\/p>\n\n\n\n\n\n
39. amount of sand in a sandbag<\/td>\n40. height of a tree<\/td>\n<\/tr>\n
41. size of a patio<\/td>\n42. length of a highway<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

In the following exercises, find a) the perimeter b) the area of each figure<\/p>\n\n\n\n\n
43.\u00a0\"Three<\/span><\/td>\n44.\u00a0\"Five<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

Use Properties of Rectangles<\/h2>\n<\/div>\n

In the following exercises, find the a) perimeter b) area of each rectangle<\/p>\n\n\n\n\n\n
45. The length of a rectangle is \\(42\\) metres and the width is \\(28\\) metres.<\/td>\n46. The length of a rectangle is \\(36\\) feet and the width is \\(19\\) feet.<\/td>\n<\/tr>\n
47. A sidewalk in front of Kathy\u2019s house is in the shape of a rectangle \\(4\\) feet wide by \\(45\\) feet long.<\/td>\n48. A rectangular room is \\(16\\) feet wide by \\(12\\) feet long.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n
\n

In the following exercises, solve.<\/p>\n\n\n\n\n\n\n
49. Find the length of a rectangle with perimeter of \\(220\\) centimetres and width of \\(85\\) centimetres.<\/td>\n50. Find the width of a rectangle with perimeter \\(39\\) and length \\(11\\).<\/td>\n<\/tr>\n
51. The area of a rectangle is \\(2356\\) square metres. The length is \\(38\\) metres. What is the width?<\/td>\n52. The width of a rectangle is \\(45\\) centimetres. The area is \\(2700\\) square centimetres. What is the length?<\/td>\n<\/tr>\n
53. The length of a rectangle is \\(12\\) centimetres more than the width. The perimeter is \\(74\\) centimetres. Find the length and the width.<\/td>\n54. The width of a rectangle is \\(3\\) more than twice the length. The perimeter is \\(96\\) inches. Find the length and the width.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n
\n
\n

Use Properties of Triangles<\/h2>\n<\/div>\n<\/div>\n

In the following exercises, solve using the properties of triangles.<\/p>\n\n\n\n\n\n\n\n
55. Find the area of a triangle with base \\(18\\) inches and height \\(15\\) inches.<\/td>\n56. Find the area of a triangle with base \\(33\\) centimetres and height \\(21\\) centimetres.<\/td>\n<\/tr>\n
57. A triangular road sign has base \\(30\\) inches and height \\(40\\) inches. What is its area?<\/td>\n58. If a triangular courtyard has sides \\(9\\) feet and \\(12\\) feet and the perimeter is \\(32\\) feet, how long is the third side?<\/td>\n<\/tr>\n
59. A tile in the shape of an isosceles triangle has a base of \\(6\\) inches. If the perimeter is \\(20\\) inches, find the length of each of the other sides.<\/td>\n60. Find the length of each side of an equilateral triangle with perimeter of \\(81\\) yards.<\/td>\n<\/tr>\n
61. The perimeter of a triangle is \\(59\\) feet. One side of the triangle is \\(3\\) feet longer than the shortest side. The third side is \\(5\\) feet longer than the shortest side. Find the length of each side.<\/td>\n62. One side of a triangle is three times the smallest side. The third side is \\(9\\) feet more than the shortest side. The perimeter is \\(39\\) feet. Find the lengths of all three sides.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n
\n

Use Properties of Trapezoids<\/h2>\n<\/div>\n<\/div>\n

In the following exercises, solve using the properties of trapezoids.<\/p>\n\n\n\n\n\n
63. The height of a trapezoid is \\(8\\) feet and the bases are \\(11\\) and \\(14\\) feet. What is the area?<\/td>\n64. The height of a trapezoid is \\(5\\) yards and the bases are \\(7\\) and \\(10\\) yards. What is the area?<\/td>\n<\/tr>\n
65. Find the area of the trapezoid with height \\(25\\) metres and bases \\(32.5\\) and \\(21.5\\) metres.<\/td>\n66. A flag is shaped like a trapezoid with height \\(62\\) centimetres and the bases are \\(91.5\\) and \\(78.1\\) centimetres. What is the area of the flag?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
\n

Use Properties of Circles<\/h2>\n

In the following exercises, solve using the properties of circles. Round answers to the nearest hundredth.<\/p>\n\n\n\n\n\n
\n

67. A circular mosaic has radius \\(3\\) metres. Find the<\/p>\na) circumference\n\nb) area of the mosaic<\/td>\n

\n

68. A circular fountain has radius \\(8\\) feet. Find the<\/p>\na) circumference\n\nb) area of the fountain<\/td>\n<\/tr>\n

69. Find the diametre of a circle with circumference \\(150.72\\) inches.<\/td>\n70. Find the radius of a circle with circumference \\(345.4\\) centimetres<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n
\n

Find the Area of Irregular Figures<\/h2>\n<\/div>\n<\/div>\n

In the following exercises, find the area of each shaded region.<\/p>\n\n\n\n\n\n\n
71.\u00a0\"A<\/span><\/td>\n72.\u00a0\"A<\/span><\/td>\n<\/tr>\n
73.\u00a0\"A<\/span><\/td>\n74.\u00a0\"A<\/span><\/td>\n<\/tr>\n
75.\u00a0\"A<\/span><\/span><\/td>\n76.\u00a0\"A<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
\n

Find Volume and Surface Area of Rectangular Solids<\/h2>\n

In the following exercises, find the a) volume b) surface area of the rectangular solid<\/p>\n\n\n\n\n\n
77. A rectangular solid with length \\(14\\) centimetres, width \\(4.5\\) centimetres, and height \\(10\\) centimetres<\/td>\n78. A cube with sides that are \\(3\\) feet long<\/td>\n<\/tr>\n
79. A cube of tofu with sides \\(2.5\\) inches<\/td>\n80. A rectangular carton with length \\(32\\) inches, width \\(18\\) inches, and height \\(10\\) inches<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n
\n

Find Volume and Surface Area of Spheres<\/h2>\n<\/div>\n<\/div>\n

In the following exercises, find the a) volume b) surface area of the sphere.<\/p>\n\n\n\n\n\n
81. a sphere with radius \\(4\\) yards<\/td>\n82. a sphere with radius \\(12\\) metres<\/td>\n<\/tr>\n
83. a baseball with radius \\(1.45\\) inches<\/td>\n84. a soccer ball with radius \\(22\\) centimetres<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n
\n

Find Volume and Surface Area of Cylinders<\/h2>\n<\/div>\n<\/div>\n

In the following exercises, find the a) volume b) surface area of the cylinder<\/p>\n\n\n\n\n\n
85. A cylinder with radius \\(2\\) yards and height \\(6\\) yards<\/td>\n86. A cylinder with diametre \\(18\\) inches and height \\(40\\) inches<\/td>\n<\/tr>\n
87. A juice can with diametre \\(8\\) centimetres and height \\(15\\) centimetres<\/td>\n88. A cylindrical pylon with diametre \\(0.8\\) feet and height \\(2.5\\) feet<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

Find Volume of Cones<\/h2>\n<\/div>\nIn the following exercises, find the volume of the cone.\n\n\n\n\n
89. A cone with height \\(5\\) metres and radius \\(1\\) metre<\/td>\n90. A cone with height \\(24\\) feet and radius \\(8\\) feet<\/td>\n<\/tr>\n
91. A cone-shaped water cup with diametre \\(2.6\\) inches and height \\(2.6\\) inches<\/td>\n92. A cone-shaped pile of gravel with diametre \\(6\\) yards and height \\(5\\) yards<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n
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Review Answers<\/h1>\n
\n
\n
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
1. 3.5 feet<\/td>\n3. 15 yards<\/td>\n5. 9000 pounds<\/td>\n<\/tr>\n
7. 64 tablespoons<\/td>\n9. 1.9 gallons<\/td>\n11. 7 hours 10 minutes<\/td>\n<\/tr>\n
13. 3 yards, 12 inches<\/td>\n15. 8.85 kilometres<\/td>\n17. 13,000 milligrams<\/td>\n<\/tr>\n
19. 0.65 litres<\/td>\n21. 855 millilitre s<\/td>\n23. 10,000 milligrams<\/td>\n<\/tr>\n
25. 25.6 metres<\/td>\n27. 171.6 pounds<\/td>\n29. 11.4 kilograms<\/td>\n<\/tr>\n
31. \\(-5\\)\u00b0C<\/td>\n33. \\(17.8\\)\u00b0C<\/td>\n35. \\(23\\)\u00b0F<\/td>\n<\/tr>\n
37. \\(75.2\\)\u00b0F<\/td>\n39. cubic<\/td>\n41. square<\/td>\n<\/tr>\n
43.\n\na) 8 units\n\nb) 3 sq. units<\/td>\n45.\n\na) 140 m\n\nb) 1176 sq. m<\/td>\n47.\n\na) 98 ft.\n\nb) 180 sq. ft.<\/td>\n<\/tr>\n
49. 25 cm<\/td>\n51. 62 m<\/td>\n53. 24.5 in., 12.5 in.<\/td>\n<\/tr>\n
55. 135 sq. in.<\/td>\n57. 600 sq. in.<\/td>\n59. 7 in., 7 in.<\/td>\n<\/tr>\n
61. 17 ft., 20 ft., 22 ft.<\/td>\n63. 100 sq. ft.<\/td>\n65.\u00a0675 sq. m<\/td>\n<\/tr>\n
67.\n
\n
\n\na) 18.84 m\n\nb) 28.26 sq. m\n\n<\/div>\n<\/div><\/td>\n
69. 48 in.<\/td>\n71. 30 sq. units<\/td>\n<\/tr>\n
73. 300 sq. units<\/td>\n75. 199.25 sq. units<\/td>\n77.\n
\n
\n\na) 630 cu. cm\n\nb) 496 sq. cm\n\n<\/div>\n<\/div><\/td>\n<\/tr>\n
79.\n\na) 15.625 cu. in.\n\nb) 37.5 sq. in.<\/td>\n81.\n\na) 267.95 cu. yd.\n\nb) 200.96 sq. yd.<\/td>\n83.\n\na) 12.76 cu. in.\n\nb) 26.41 sq. in.<\/td>\n<\/tr>\n
85.\n\na) 75.36 cu. yd.\n\nb) 100.48 sq. yd.<\/td>\n87.\n\na) 753.6 cu. cm\n\nb) 477.28 sq. cm<\/td>\n89. 5.233 cu. m<\/td>\n<\/tr>\n
91. 4.599 cu. in.<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n

Practice Test<\/h1>\n
\n\nIn the following exercises, solve using the appropriate unit conversions.\n\n\n\n\n\n\n\n\n\n
1. One cup of milk contains \\(276\\) milligrams of calcium. Convert this to grams. \\(\\text{(1 milligram}=\\text{0.001 gram)}\\)<\/td>\n2. Azize walked \\(4\\frac{1}{2}\\) miles. Convert this distance to feet. \\(\\text{(1 mile}=\\text{5,280 feet).}\\)<\/td>\n<\/tr>\n
3. Janice ran \\(15\\) kilometres. Convert this distance to miles. Round to the nearest hundredth of a mile. \\(\\text{(1 mile}=\\text{1.61 kilometres)}\\)<\/td>\n4. Larry had \\(5\\) phone customer phone calls yesterday. The calls lasted \\(28,44,9,75,\\text{and}\\phantom{\\rule{0.2em}{0ex}}55\\) minutes. How much time, in hours and minutes, did Larry spend on the phone? \\(\\text{(1 hour}=\\text{60 minutes)}\\)<\/td>\n<\/tr>\n
5. Use the formula \\(F=\\frac{9}{5}C+32\\) to convert \\(35\\)\u00b0C to degrees \\(\\text{F}\\)<\/td>\n6. Yolie is \\(63\\) inches tall. Convert her height to centimetres. Round to the nearest centimetre. \\(\\text{(1 inch}=\\text{2.54 centimetres)}\\)<\/td>\n<\/tr>\n
7. A triangular poster has base \\(80\\) centimetres and height \\(55\\) centimetres. Find the area of the poster.<\/td>\n8. The length of a rectangle is \\(2\\) feet more than five times the width. The perimeter is \\(40\\) feet. Find the dimensions of the rectangle.<\/td>\n<\/tr>\n
9. A circular pool has diametre \\(90\\) inches. What is its circumference? Round to the nearest tenth.<\/em><\/td>\n10.\u00a0A trapezoid has height \\(14\\) inches and bases \\(20\\) inches and \\(23\\) inches. Find the area of the trapezoid.<\/td>\n<\/tr>\n
11. Find the volume of a rectangular room with width \\(12\\) feet, length \\(15\\) feet, and height \\(8\\) feet.<\/td>\n\n

12. Find the area of the shaded region. Round to the nearest tenth.<\/p>\n\"A<\/span><\/td>\n<\/tr>\n

13. A traffic cone has height \\(75\\) centimetres. The radius of the base is \\(20\\) centimetres. Find the volume of the cone. Round to the nearest tenth.<\/td>\n14. A coffee can is shaped like a cylinder with height \\(7\\) inches and radius \\(5\\) inches. Find (a) the surface area and (b) the volume of the can. Round to the nearest tenth.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Practice Test Answers<\/h1>\n\n\n\n\n\n\n\n
1. .276 grams<\/td>\n2. 23760 feet<\/td>\n3. 9.317 miles<\/td>\n<\/tr>\n
4. 211 minutes, 3 hours and 31 minutes<\/td>\n5. 95\u00b0F<\/em><\/td>\n6. 160 centimetres<\/td>\n<\/tr>\n
7. 2,200 square centimetres<\/td>\n8. 11 feet, 9 feet<\/td>\n9. 282.6 inches<\/td>\n<\/tr>\n
10. 201 feet<\/td>\n11. 1,440 cubic feet<\/td>\n12. 10.3 square inches<\/td>\n<\/tr>\n
13.\u00a031,400 cubic inches<\/td>\n14. a)\u00a0 534.1 square inches b) 1335 cubic inches<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>","rendered":"

Review Exercises<\/h1>\n

Systems of Measurement<\/h2>\n

In the following exercises, convert between Imperial units. Round to the nearest tenth.<\/p>\n\n\n\n\n\n\n\n
1.\u00a0A picture frame is \"42\" inches wide. Convert the width to feet.<\/td>\n2. A floral arbor is \"7\" feet tall. Convert the height to inches.<\/td>\n<\/tr>\n
3. A playground is \"45\" feet wide. Convert the width to yards.<\/td>\n4.\u00a0Kelly is \"5\" feet \"4\" inches tall. Convert her height to inches.<\/td>\n<\/tr>\n
5. An orca whale in the Salish Sea weighs \"4.5\" tons. Convert the weight to pounds.<\/td>\n6. The height of Mount Shasta is \"14,179\" feet. Convert the height to miles.<\/td>\n<\/tr>\n
7. How many tablespoons are in a quart?<\/td>\n8. The play lasted \"1\frac{3}{4}\" hours. Convert the time to minutes.<\/td>\n<\/tr>\n
9. Trinh needs \"30\" cups of paint for her class art project. Convert the volume to gallons.<\/td>\n10. Naomi\u2019s baby weighed \"5\" pounds \"14\" ounces at birth. Convert the weight to ounces.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

In the following exercises, solve, and state your answer in mixed units.<\/p>\n\n\n\n\n
11. Every day last week, Pedro recorded the amount of time he spent reading. He read for \"50,25,83,45,32,60,\text{and}\phantom{\rule{0.2em}{0ex}}135\" minutes. How much time, in hours and minutes, did Pedro spend reading?<\/td>\n12. John caught \"4\" lobsters. The weights of the lobsters were \"1\" pound \"9\" ounces, \"1\" pound \"12\" ounces, \"4\" pounds \"2\" ounces, and \"2\" pounds \"15\" ounces. What was the total weight of the lobsters?<\/td>\n<\/tr>\n
13. Dalila wants to make pillow covers. Each cover takes \"30\" inches of fabric. How many yards and inches of fabric does she need for \"4\" pillow covers?<\/td>\n14. Fouad is \"6\" feet \"2\" inches tall. If he stands on a rung of a ladder \"8\" feet \"10\" inches high, how high off the ground is the top of Fouad\u2019s head?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

In the following exercises, convert between metric units.<\/p>\n\n\n\n\n\n
15. Mount Everest is \"8,850\" metres tall. Convert the height to kilometres.<\/td>\n16. Donna is \"1.7\" metres tall. Convert her height to centimetres.<\/td>\n<\/tr>\n
17. One cup of yogurt contains \"13\" grams of protein. Convert this to milligrams.<\/td>\n18. One cup of yogurt contains \"488\" milligrams of calcium. Convert this to grams.<\/td>\n<\/tr>\n
19. A bottle of water contained \"650\" millilitre s. Convert this to litres.<\/td>\n20. Sergio weighed \"2.9\" kilograms at birth. Convert this to grams.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

In the following exercises, solve.<\/p>\n\n\n\n\n
21. Selma had a \"\text{1-liter}\" bottle of water. If she drank \"145\" millilitres, how much water, in millilitres, was left in the bottle?<\/td>\n22. Minh is \"2\" metres tall. His daughter is \"88\" centimetres tall. How much taller, in metres, is Minh than his daughter?<\/td>\n<\/tr>\n
23. One ounce of tofu provides \"2\" grams of protein. How many milligrams of protein are provided by \"5\" ounces of tofu?<\/td>\n24. One serving of cranberry juice contains \"30\" grams of sugar. How many kilograms of sugar are in \"30\" servings of cranberry juice?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

In the following exercises, convert between Imperial and metric units. Round to the nearest tenth.<\/p>\n\n\n\n\n\n
25. A college basketball court is \"84\" feet long. Convert this length to metres.<\/td>\n26. Majid is \"69\" inches tall. Convert his height to centimetres.<\/td>\n<\/tr>\n
27. Lucas weighs \"78\" kilograms. Convert his weight to pounds.<\/td>\n28. Caroline walked \"2.5\" kilometres. Convert this length to miles.<\/td>\n<\/tr>\n
29. A box of books weighs \"25\" pounds. Convert this weight to kilograms.<\/td>\n30. Steve\u2019s car holds \"55\" litres of gas. Convert this to gallons.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.<\/p>\n\n\n\n\n
31. \"23\"\u00b0F<\/td>\n32. \"95\"\u00b0F<\/td>\n<\/tr>\n
33. \"64\"\u00b0F<\/td>\n34. \"20\"\u00b0F<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

In the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.<\/p>\n\n\n\n\n
35. \"-5\"\u00b0C<\/td>\n36. \"30\"\u00b0C<\/td>\n<\/tr>\n
37. \"24\"\u00b0C<\/td>\n38. \"-12\"\u00b0C<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n
\n

Understand Linear, Square, Cubic Measure<\/h2>\n

In the following exercises, would you measure each item using linear, square, or cubic measure?<\/p>\n\n\n\n\n
39. amount of sand in a sandbag<\/td>\n40. height of a tree<\/td>\n<\/tr>\n
41. size of a patio<\/td>\n42. length of a highway<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

In the following exercises, find a) the perimeter b) the area of each figure<\/p>\n\n\n\n
43.\u00a0\"Three<\/span><\/td>\n44.\u00a0\"Five<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

Use Properties of Rectangles<\/h2>\n<\/div>\n

In the following exercises, find the a) perimeter b) area of each rectangle<\/p>\n\n\n\n\n
45. The length of a rectangle is \"42\" metres and the width is \"28\" metres.<\/td>\n46. The length of a rectangle is \"36\" feet and the width is \"19\" feet.<\/td>\n<\/tr>\n
47. A sidewalk in front of Kathy\u2019s house is in the shape of a rectangle \"4\" feet wide by \"45\" feet long.<\/td>\n48. A rectangular room is \"16\" feet wide by \"12\" feet long.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n
\n

In the following exercises, solve.<\/p>\n\n\n\n\n\n
49. Find the length of a rectangle with perimeter of \"220\" centimetres and width of \"85\" centimetres.<\/td>\n50. Find the width of a rectangle with perimeter \"39\" and length \"11\".<\/td>\n<\/tr>\n
51. The area of a rectangle is \"2356\" square metres. The length is \"38\" metres. What is the width?<\/td>\n52. The width of a rectangle is \"45\" centimetres. The area is \"2700\" square centimetres. What is the length?<\/td>\n<\/tr>\n
53. The length of a rectangle is \"12\" centimetres more than the width. The perimeter is \"74\" centimetres. Find the length and the width.<\/td>\n54. The width of a rectangle is \"3\" more than twice the length. The perimeter is \"96\" inches. Find the length and the width.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n
\n
\n

Use Properties of Triangles<\/h2>\n<\/div>\n<\/div>\n

In the following exercises, solve using the properties of triangles.<\/p>\n\n\n\n\n\n\n
55. Find the area of a triangle with base \"18\" inches and height \"15\" inches.<\/td>\n56. Find the area of a triangle with base \"33\" centimetres and height \"21\" centimetres.<\/td>\n<\/tr>\n
57. A triangular road sign has base \"30\" inches and height \"40\" inches. What is its area?<\/td>\n58. If a triangular courtyard has sides \"9\" feet and \"12\" feet and the perimeter is \"32\" feet, how long is the third side?<\/td>\n<\/tr>\n
59. A tile in the shape of an isosceles triangle has a base of \"6\" inches. If the perimeter is \"20\" inches, find the length of each of the other sides.<\/td>\n60. Find the length of each side of an equilateral triangle with perimeter of \"81\" yards.<\/td>\n<\/tr>\n
61. The perimeter of a triangle is \"59\" feet. One side of the triangle is \"3\" feet longer than the shortest side. The third side is \"5\" feet longer than the shortest side. Find the length of each side.<\/td>\n62. One side of a triangle is three times the smallest side. The third side is \"9\" feet more than the shortest side. The perimeter is \"39\" feet. Find the lengths of all three sides.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n
\n

Use Properties of Trapezoids<\/h2>\n<\/div>\n<\/div>\n

In the following exercises, solve using the properties of trapezoids.<\/p>\n\n\n\n\n
63. The height of a trapezoid is \"8\" feet and the bases are \"11\" and \"14\" feet. What is the area?<\/td>\n64. The height of a trapezoid is \"5\" yards and the bases are \"7\" and \"10\" yards. What is the area?<\/td>\n<\/tr>\n
65. Find the area of the trapezoid with height \"25\" metres and bases \"32.5\" and \"21.5\" metres.<\/td>\n66. A flag is shaped like a trapezoid with height \"62\" centimetres and the bases are \"91.5\" and \"78.1\" centimetres. What is the area of the flag?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
\n

Use Properties of Circles<\/h2>\n

In the following exercises, solve using the properties of circles. Round answers to the nearest hundredth.<\/p>\n\n\n\n\n
\n

67. A circular mosaic has radius \"3\" metres. Find the<\/p>\n

a) circumference<\/p>\n

b) area of the mosaic<\/td>\n

\n

68. A circular fountain has radius \"8\" feet. Find the<\/p>\n

a) circumference<\/p>\n

b) area of the fountain<\/td>\n<\/tr>\n

69. Find the diametre of a circle with circumference \"150.72\" inches.<\/td>\n70. Find the radius of a circle with circumference \"345.4\" centimetres<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n
\n

Find the Area of Irregular Figures<\/h2>\n<\/div>\n<\/div>\n

In the following exercises, find the area of each shaded region.<\/p>\n\n\n\n\n\n
71.\u00a0\"A<\/span><\/td>\n72.\u00a0\"A<\/span><\/td>\n<\/tr>\n
73.\u00a0\"A<\/span><\/td>\n74.\u00a0\"A<\/span><\/td>\n<\/tr>\n
75.\u00a0\"A<\/span><\/span><\/td>\n76.\u00a0\"A<\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
\n

Find Volume and Surface Area of Rectangular Solids<\/h2>\n

In the following exercises, find the a) volume b) surface area of the rectangular solid<\/p>\n\n\n\n\n
77. A rectangular solid with length \"14\" centimetres, width \"4.5\" centimetres, and height \"10\" centimetres<\/td>\n78. A cube with sides that are \"3\" feet long<\/td>\n<\/tr>\n
79. A cube of tofu with sides \"2.5\" inches<\/td>\n80. A rectangular carton with length \"32\" inches, width \"18\" inches, and height \"10\" inches<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n
\n

Find Volume and Surface Area of Spheres<\/h2>\n<\/div>\n<\/div>\n

In the following exercises, find the a) volume b) surface area of the sphere.<\/p>\n\n\n\n\n
81. a sphere with radius \"4\" yards<\/td>\n82. a sphere with radius \"12\" metres<\/td>\n<\/tr>\n
83. a baseball with radius \"1.45\" inches<\/td>\n84. a soccer ball with radius \"22\" centimetres<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n
\n

Find Volume and Surface Area of Cylinders<\/h2>\n<\/div>\n<\/div>\n

In the following exercises, find the a) volume b) surface area of the cylinder<\/p>\n\n\n\n\n
85. A cylinder with radius \"2\" yards and height \"6\" yards<\/td>\n86. A cylinder with diametre \"18\" inches and height \"40\" inches<\/td>\n<\/tr>\n
87. A juice can with diametre \"8\" centimetres and height \"15\" centimetres<\/td>\n88. A cylindrical pylon with diametre \"0.8\" feet and height \"2.5\" feet<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

Find Volume of Cones<\/h2>\n<\/div>\n

In the following exercises, find the volume of the cone.<\/p>\n\n\n\n\n
89. A cone with height \"5\" metres and radius \"1\" metre<\/td>\n90. A cone with height \"24\" feet and radius \"8\" feet<\/td>\n<\/tr>\n
91. A cone-shaped water cup with diametre \"2.6\" inches and height \"2.6\" inches<\/td>\n92. A cone-shaped pile of gravel with diametre \"6\" yards and height \"5\" yards<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n
\n
\n
\n

Review Answers<\/h1>\n
\n
\n
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
1. 3.5 feet<\/td>\n3. 15 yards<\/td>\n5. 9000 pounds<\/td>\n<\/tr>\n
7. 64 tablespoons<\/td>\n9. 1.9 gallons<\/td>\n11. 7 hours 10 minutes<\/td>\n<\/tr>\n
13. 3 yards, 12 inches<\/td>\n15. 8.85 kilometres<\/td>\n17. 13,000 milligrams<\/td>\n<\/tr>\n
19. 0.65 litres<\/td>\n21. 855 millilitre s<\/td>\n23. 10,000 milligrams<\/td>\n<\/tr>\n
25. 25.6 metres<\/td>\n27. 171.6 pounds<\/td>\n29. 11.4 kilograms<\/td>\n<\/tr>\n
31. \"-5\"\u00b0C<\/td>\n33. \"17.8\"\u00b0C<\/td>\n35. \"23\"\u00b0F<\/td>\n<\/tr>\n
37. \"75.2\"\u00b0F<\/td>\n39. cubic<\/td>\n41. square<\/td>\n<\/tr>\n
43.<\/p>\n

a) 8 units<\/p>\n

b) 3 sq. units<\/td>\n

45.<\/p>\n

a) 140 m<\/p>\n

b) 1176 sq. m<\/td>\n

47.<\/p>\n

a) 98 ft.<\/p>\n

b) 180 sq. ft.<\/td>\n<\/tr>\n

49. 25 cm<\/td>\n51. 62 m<\/td>\n53. 24.5 in., 12.5 in.<\/td>\n<\/tr>\n
55. 135 sq. in.<\/td>\n57. 600 sq. in.<\/td>\n59. 7 in., 7 in.<\/td>\n<\/tr>\n
61. 17 ft., 20 ft., 22 ft.<\/td>\n63. 100 sq. ft.<\/td>\n65.\u00a0675 sq. m<\/td>\n<\/tr>\n
67.<\/p>\n
\n
\n

a) 18.84 m<\/p>\n

b) 28.26 sq. m<\/p>\n<\/div>\n<\/div>\n<\/td>\n

69. 48 in.<\/td>\n71. 30 sq. units<\/td>\n<\/tr>\n
73. 300 sq. units<\/td>\n75. 199.25 sq. units<\/td>\n77.<\/p>\n
\n
\n

a) 630 cu. cm<\/p>\n

b) 496 sq. cm<\/p>\n<\/div>\n<\/div>\n<\/td>\n<\/tr>\n

79.<\/p>\n

a) 15.625 cu. in.<\/p>\n

b) 37.5 sq. in.<\/td>\n

81.<\/p>\n

a) 267.95 cu. yd.<\/p>\n

b) 200.96 sq. yd.<\/td>\n

83.<\/p>\n

a) 12.76 cu. in.<\/p>\n

b) 26.41 sq. in.<\/td>\n<\/tr>\n

85.<\/p>\n

a) 75.36 cu. yd.<\/p>\n

b) 100.48 sq. yd.<\/td>\n

87.<\/p>\n

a) 753.6 cu. cm<\/p>\n

b) 477.28 sq. cm<\/td>\n

89. 5.233 cu. m<\/td>\n<\/tr>\n
91. 4.599 cu. in.<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n

Practice Test<\/h1>\n
\n

In the following exercises, solve using the appropriate unit conversions.<\/p>\n\n\n\n\n\n\n\n\n\n
1. One cup of milk contains \"276\" milligrams of calcium. Convert this to grams. \"\text{(1 milligram}=\text{0.001 gram)}\"<\/td>\n2. Azize walked \"4\frac{1}{2}\" miles. Convert this distance to feet. \"\text{(1 mile}=\text{5,280 feet).}\"<\/td>\n<\/tr>\n
3. Janice ran \"15\" kilometres. Convert this distance to miles. Round to the nearest hundredth of a mile. \"\text{(1 mile}=\text{1.61 kilometres)}\"<\/td>\n4. Larry had \"5\" phone customer phone calls yesterday. The calls lasted \"28,44,9,75,\text{and}\phantom{\rule{0.2em}{0ex}}55\" minutes. How much time, in hours and minutes, did Larry spend on the phone? \"\text{(1 hour}=\text{60 minutes)}\"<\/td>\n<\/tr>\n
5. Use the formula \"F=\frac{9}{5}C+32\" to convert \"35\"\u00b0C to degrees \"\text{F}\"<\/td>\n6. Yolie is \"63\" inches tall. Convert her height to centimetres. Round to the nearest centimetre. \"\text{(1 inch}=\text{2.54 centimetres)}\"<\/td>\n<\/tr>\n
7. A triangular poster has base \"80\" centimetres and height \"55\" centimetres. Find the area of the poster.<\/td>\n8. The length of a rectangle is \"2\" feet more than five times the width. The perimeter is \"40\" feet. Find the dimensions of the rectangle.<\/td>\n<\/tr>\n
9. A circular pool has diametre \"90\" inches. What is its circumference? Round to the nearest tenth.<\/em><\/td>\n10.\u00a0A trapezoid has height \"14\" inches and bases \"20\" inches and \"23\" inches. Find the area of the trapezoid.<\/td>\n<\/tr>\n
11. Find the volume of a rectangular room with width \"12\" feet, length \"15\" feet, and height \"8\" feet.<\/td>\n\n

12. Find the area of the shaded region. Round to the nearest tenth.<\/p>\n

\"A<\/span><\/td>\n<\/tr>\n

13. A traffic cone has height \"75\" centimetres. The radius of the base is \"20\" centimetres. Find the volume of the cone. Round to the nearest tenth.<\/td>\n14. A coffee can is shaped like a cylinder with height \"7\" inches and radius \"5\" inches. Find (a) the surface area and (b) the volume of the can. Round to the nearest tenth.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Practice Test Answers<\/h1>\n\n\n\n\n\n\n\n
1. .276 grams<\/td>\n2. 23760 feet<\/td>\n3. 9.317 miles<\/td>\n<\/tr>\n
4. 211 minutes, 3 hours and 31 minutes<\/td>\n5. 95\u00b0F<\/em><\/td>\n6. 160 centimetres<\/td>\n<\/tr>\n
7. 2,200 square centimetres<\/td>\n8. 11 feet, 9 feet<\/td>\n9. 282.6 inches<\/td>\n<\/tr>\n
10. 201 feet<\/td>\n11. 1,440 cubic feet<\/td>\n12. 10.3 square inches<\/td>\n<\/tr>\n
13.\u00a031,400 cubic inches<\/td>\n14. a)\u00a0 534.1 square inches b) 1335 cubic inches<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"author":90,"menu_order":5,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-624","chapter","type-chapter","status-publish","hentry"],"part":398,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters\/624","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":1,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters\/624\/revisions"}],"predecessor-version":[{"id":625,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters\/624\/revisions\/625"}],"part":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/parts\/398"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapters\/624\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/media?parent=624"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=624"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/contributor?post=624"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/introalgebra\/wp-json\/wp\/v2\/license?post=624"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}