University:
Amherst College
Course:
MATH 450 | Measure Theory and Integration
Academic year:

2023
Views:

121

Pages:

4
Author:

Charlee Buchanan

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 1 7.6 m/25 2%" ↓ 2 3 b 4 5 C a 6 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3cm d e f a) 3 1/4 ^ 3 c) 6 3/16 e) 9.7cm b) 4 1/2 d) 4.5 cm 1) 14.4cm 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 ^ prime prime 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 3. Choose the metric unit that would be appropriate for each of the following. Circle your answer. a) the capacity of a swimming pool? 3 liters 3 milliliters 3 centiliters 3 kiloliters b) the height of a glue stick 3 meters 3 millimeters 3 centimeters 3 kilometers c) the height of a mountain? 2 millimeters 2 meters 2 centimeters 2 kilometers d) the height of a flagpole? 4 millimeters 4 meters 4 centimeters 4 kilometers e) the weight of a toothbrush? 18 centigrams 18 grams 18 kilograms 18 milligrams f) the weight of a small airplane? 9 milligrams 9 grams 9 tonnes 9 kilograms g) the length of a paperclip? 25 millimeters 25 meters 25 centimeters 25 kilometers h) the height of a refrigerator? 2 millimeters 2 meters 2 centimeters 2 kilometers i) the length of a car? 3 millimeters 3 meters 3 centimeters 3 kilometers j) the length of an American football field? 110 millimeters 110 centimeters 110 meters 110 kilometers 4. Find the area and perimeter of each figure a) Perimeter Area 2 2 5 3 7 3 5 2 7 8 b) 2 5 5 2 6 1 c) 2 6 3 10 4 5 2 6 2 5 4 3 P = 2 + 2 + 3 + 3 + 5 + 5 + 7 + 7 A = 7 * 2 + 5 * 2 + 3 * 2 = 34 units = 14 + 10 + 6 = 30 units 2 p = 1 + 1 + 2 + 2 + 5 + 5 + 6 + 6 =1046 A = 5 * 2 + 8 * 1 28 units = 18uni + 5 ^ 2 P = 2 + 2 + 3 + 5 + 6 + 6 + 10 + 10 =44 units A = 10 * 2 + 5 * 4 + 6 * 3 = 20 + 20 + 18 = 58 units 2 5. A carpenter is building a temporary fence around a building site. How many metres of fencing are required for a site that is 47.8m * 30.3m ? Round your answer up to the nearest metre. Draw a diagram and show all work. P = 47.8m + 47.8m + 30.3m + 30.3m = 157m 47.8m 47.8m 30.3m 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. 52 Number of studs perimeter 2 14 30^ prime 8^ prime prime + 52' = 160' 14' + 14' + 14' + 28' + (160 deg)/2 = 80 deg 26 14 deg ↓ 30 deg * 8 deg 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? 25m * 50m * 2m = 2500m ^ 3 50m

Measurements - Learning Guide

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