Workplace Math 11 2021-12-17 Page 1 of 15 Name: UNIT 2 LEARNING GUIDE – MEASUREMENTS INSTRUCTIONS: Using a pencil, complete the following questions as you work through the related lessons. Show ALL of your work as is explained in the lessons. Do your best and always ask questions if there is anything that you don’t understand. 2.1 UNITS 1. Enter the correct length for each arrow on the measuring tape. Remember to include the correct unit (inches or centimetres). 2 examples are provided for you a) ______________________ b) ______________________ c) ______________________ d) ______________________ e) ______________________ f) ______________________ 2. Label the following measurements (a–f) on the measuring tape with an arrow and the letter of the question. 2 examples have been done for you. x. 37 1 / 2 " y. 1.01m a.39 1 / 8 in. b.3 ft. 4 3 / 4 in. c. 3.5 ft. d. 93 cm e. 0.992 m f. 107.5 cm
Transcript
Workplace Math 11
2021-12-17 Page 1 of 15
Name:
UNIT 2 LEARNING GUIDE – MEASUREMENTS
INSTRUCTIONS:
Using a pencil, complete the following questions as you work through the related lessons. Show ALL of your work as is explained in the lessons. Do your best and always ask questions if there is anything that you don’t understand.
2.1 UNITS
1. Enter the correct length for each arrow on the measuring tape. Remember to include the
correct unit (inches or centimetres). 2 examples are provided for you
a) ______________________ b) ______________________
c) ______________________ d) ______________________
5. A carpenter is building a temporary fence around a building site. How many metres of
fencing are required for a site that is 47.8 m × 30.3 m? Round your answer up to the nearest
metre. Draw a diagram and show all work.
6. How many studs will a carpenter need to frame the exterior walls of the building below? Use
the formula given below to estimate the number of studs. Show all work.
7. Olympic swimmers compete in a pool with required dimensions 25 meters by 50 meters by
2 meters. What is the volume of the Olympic-sized pool?
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8. Raphael drives a standard-sized dump truck. The dimensions of the bed of the truck are length
15 feet, width 8 feet, and height 6 feet. What is the volume of the bed of the dump truck?
9. Janine keeps her jewelry in a jewelry box like the figure below. Find the volume of Janine’s
jewelry box.
10. Kyle will fill the candle mold with liquid candle wax. Find the amount of liquid wax that will
be contained in the mold. (Ignore the thickness of the walls of
the container)
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11. A landscape horticulturalist needs to order enough sand to create a border 152 mm deep
around a square surface, as shown below. How many cubic metres of sand are needed?
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2.2 METRIC CONVERSIONS
1. Fill in the blacks with 10, 100 or 1000 for the conversions for metric units.
2. 256 m = __________ cm
3. 97.25 cm = __________ mm
4. 952 g = __________ mg
5. 0.574 m = __________ cm
6. 1.5 l = __________ ml
7. 785.3 km = __________ m
8. 84.363 km = __________ cm
9. 872 km = __________ m
10. 95 824 cm = __________ mm
11. 8.26 l = __________ ml
12. 36 mm = __________ cm
13. 857 cm = __________ mm
14. 8.52 mg = __________ g
22. 286 g = __________ mg
23. 87.2 mm = __________ cm
24. 1 mm = __________ cm
25. 973.5 cm = __________ km
26. 534 cm = __________ m
27. 984 g = __________ kg
28. 8.64 m = __________ mm
29. 64.3 ml = __________ l
30. 8.47 km = __________ m
31. 74 201 mm = __________ km
32. 24 mg = __________ kg
33. 7.4 kl = __________ l
34. 874 m = __________ cm
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15. 975 mm = __________ cm
16. 9 824 cm = __________ m
17. 74.21 cm = __________ km
18. 0.254 g = __________ kg
19. 96 mm = __________ m
20. 12.5 cm = __________ m
21. 0.85 ml = __________ l
35. 1 cm = __________ km
36. 8.412 mm = __________ m
37. 68.2 mg = __________ g
38. 8.5743 cm = __________ km
39. 95 870 m = __________ mm
40. 547 l = __________ ml
41. 1 km = __________ mm
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2.3 OTHER CONVERSIONS
Use dimension analysis to complete the following conversions. Give answer to 2 decimal places
1. _________ feet = 18 meters
2. 20.5 mph = _________ kmph
3. _________ inches = 4 centimeters
4. _________ inches = 16.5 centimeters
5. _________ inches = 5.5 centimeters
6. 8.5 miles = _________ kilometers
7. 8 yards = _________ meters
8. 2.5 yards = _________ meters
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9. 7.5 mph = _________ kmph
10. 20 feet = _________ meters
11. 22 ounces = _________ grams
12. 19 miles = _________ kilometers
13. 10 miles = _________ kilometers
14. _________ pounds = 18.5 kilograms
15. _________ yards = 1.5 meters
16. _________ ounces = 13 grams
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17. _________ feet = 16 meters
18. _________ pounds = 7 kilograms
19. 19.5 ounces = _________ grams
42. _________ mph =15 kmph
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2.4 APPLICATIONS
1. Raina is redecorating her bedroom. She wants to order furniture and decorations from a French company. The company measures items in metric units, but Raina wants to know the measurements in imperial units.
She plans on placing her new bed and dresser as shown in this blueprint.
a) How long is Raina’s room in centimeters?
b) When the door is closed, how many centimeters will be left between the foot of Raina’s bed and her bedroom door?
c) If Raina’s bedroom door is 24 inches wide, will she have space to open her door completely? Explain.
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d) Raina has a square mirror that she wants to place on her new dresser. The mirror is 40 inches wide. Will the mirror fit on top of this dresser? Explain.
e) Raina orders curtains from the same company. The shortest curtains that the company sells are 62 centimeters long. Will those curtains be long enough to cover the entire length of her bedroom window? Explain.
f) Each item Raina orders will ship separately. Find the approximate weight of each item in pounds. Round each answer to the nearest tenth.
Item Weight (kg) Approximate Weight (lb.)
Curtains 0.82
Bed 24.2
Dresser 26.3
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2. The length of a swimming pool is 25m. Miss Mitchell swims 0.2 km every morning. How
many lengths is this?
3. At the weekend I walked 2.5km. My Dad walked 200m further than me. How far did he
walk?
4. The Harrison family sets off on a 52.4km journey to visit their relatives. They have driven
23 000m so far. How much further do they have to drive?
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UNIT 2 – ANSWER KEY
SECTION 2.1
1. a) 3 ¼” b) 4 ½” c) 6 3/16” d) 4.5 cm e) 9.7 cm f) 14.4 cm 3. a) kiloliters b)
