Unit 4 Measurement Mass Temperature Volume

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1 Unit 4 Measurement Mass Temperature Volume Instructions: Using a pencil, complete the following questions as you work through the related lessons. Show ALL work as it is explained in the lessons. Do your best and ask your teacher if you do not understand any question. Remember you can use the data file for questions in the assignment and on the quizzes. Lesson 1 Converting Temperatures 1. Convert the following Fahrenheit temperatures to Celsius. a) 86 o F b) 65 o F c) 28 o F d) - 20 o F 2. Convert the following Celsius temperatures to Fahrenheit. a) 62 o C b) 45 o C c) 25 o C d) - 30 o C BCLN Revision Jan,

2 3. The average temperature in Vancouver in the wintertime is 5 degrees Celsius. What is the equivalent temperature in degrees Fahrenheit? 4. At sea level, water boils at F. What is the boiling point of water at sea level, in degrees Celsius? Lesson 2 Converting Mass Using Imperial System 5. Which unit ounce, pound, or ton would you express the weight of the following? a) elephant b) a female adult c) a quarter d) box of nails 6. Convert the following imperial measurements a) 32 pounds = ounces b) 2.5 tons = pounds c) 45 ounces = pounds d) 3 pound 4 ounces = ounces 7. Mitch has two bags of nails. Bag 1 is lbs and Bag 2 is 50 oz. Which Bag is heavier? BCLN Revision Jan,

3 8. A contractor is building a concrete patio. The concrete slab will be 12 feet 9 inches long, 9 feet 3 inches wide and 3 inches thick. If concrete weighs 150 pounds a cubic foot, what is the weight of the concrete slab? Lesson 3 Calculating Mass and Weight using System International 9. Which unit gram, kilogram, or tonne would you express the weight of the following? a) a calculator b) a gas stove c) a horse d) a ferry 10. Convert the following Systeme International Units a) 2.3 tonnes = kg b) 5.2 kg = gm c) kg = tonne d) gm = kg 11. Aleah owns an Air Charter Business. The maximum the airplane can carry is tonnes which includes fuel. She has a group of 3 people plus luggage that would like to be dropped off at Flynn s Cove on Nootka Island. If the average weight of the 3 people are 80 kg and each brings 40 kg of luggage, Aleah weighs 85 kg and she fills the plane with 105 kg of fuel. Is the plane over weight or under weight and by how much? BCLN Revision Jan,

4 12. A doctor prescribes a certain dosage based on your symptoms, age, and weight. The drug has a strength of 250 mg per pill. The doctor has prescribed a dosage of 0.5 g three times a day for 5 days. a) How many pills will you have to take at one time? b) How many milligrams of the drug will you take over the 5 days? 13. Based on a farmer s soil composition he must mix his fertilizer at a certain strength. He must mix 5% of nitrogen, 6% phosphorus and 4% potassium per tonne. How many kilograms of nitrogen, phosphorus and potassium will there be if he mixes 0.5 tonnes of fertilizer? Lesson 4 Converting Between Measurement Systems 14. Using the conversion factors given in the course, perform the following conversions. a) 2.5 tonnes - lbs b) 5 barrels of oils = gallons c) 35 lbs = kgs d) 25 bushels = kg BCLN Revision Jan,

5 15. A grain storage bin has the following dimensions, 11 feet high, 28 feet long and 12 feet wide. The volume of 1 bushel is 2200 cubic inches or cubic feet. a) How many bushels of wheat can the bin hold? Answer to the nearest 10 th. b) What would the weight of the wheat be in tonnes if the bin were full? (1 bushel = tonne) 16. Al buys organic chickens from his local supplier in Langley, British Columbia. He buys 12 at a time and the average weight of each bird is approximately 7 pounds. The chickens cost $2.75 per kilogram plus an additional 30 cents per pound for processing. How much would Al pay for 12 chickens? 17. Two barrels are filled with water. One holds 50 US quarts and the other one holds 50 British quarts. Determine the difference between their volumes in litres. BCLN Revision Jan,

6 18. A bakery uses 50 lbs of flour each day. They need to order flour for the next month (30 days). The flour comes in 10 kg bags. How many bags of flour must they order? 19. Joe is stacking flats of 750 ml bottles of water on a shelf. If there are 24 bottles in a flat,how much will 12 flats weigh? (1 litre = 1 kilogram) Give your answer in: a) in kilograms b) in pounds. 20. Bob wants to put new wood siding on his house. He has to choose between fir siding which weighs 28 pounds a cubic foot and maple siding that weighs 22 pounds a cubic foot. The area to be covered measures 5 meters by 6 meters and the siding is three quarters of an inch thick. a) What is the difference in weight between the two types of siding? (answer to the nearest pound) b) If shipping costs are $5.75 per kilogram, how much more would it cost to ship the fir siding? BCLN Revision Jan,

7 21. The area of a picture is 2322 mm². Express this area in cm² BCLN Revision Jan,

8 Answers: 1. a) 30 b) 18.3 c) 2.2 d) a) b) 113 c) 77 d) degrees degrees 5. a) tons b) pounds c) ounces d) pounds 6. a) 512 b) 5000 c) 2.8 d) bag lbs 9. a) gram b) kilogram c) kilogram d) tonne 10. a) 2300 b) 5200 c) 75 d) underweight by 4 kilograms 12. a) 2 pills b) 7500 mg 13. Nitrogen 25 kg Phosphorus - 30 kg Potassium 20 kg 14. a) b) c) d) a) 2903 bushels b) 63.1 tonnes 16. $ l bags 19. a) 216 kg b) lbs 20. a) 121 lbs b) $ sq cm BCLN Revision Jan,

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