UNIT 12 PRACTICE PROBLEMS 1. Describe one-dimensional, two-dimensional, and three-dimensional parts or aspects of a packing box. In each case, name an appropriate U.S. customary unit and an appropriate metric unit for measuring or describing the size of that part or aspect of the packing box. What are practical reasons for wanting to know the sizes of these parts or aspects of the packing box? Aspect of bottle US Customary Unit Metric unit Practical reason for wanting to know 1- dimensional 2- dimensional 3- dimensional 2. For each of the following items, state which U.S. Customary units and which metric units would be the most appropriate for describing the size. a. The volume of water in a bathtub b. The weight of a dog c. The distance from Phoenix to Los Angeles d. The area of foundation of a house e. The length of a lady bug 1
3. Perform the following conversions: a. How many meters are in 2378 feet? b. How many seconds are in 768 days? c. A car traveled 7.2 miles. How many inches did the car travel? d. If a truck has a mass of 23,456 kg, what is its mass in milligrams? e. How many liters are in 5 gallons? f. How many hours are there in 6.5 decades? g. How many miles are there in 34,823 centimeters? 2
4. A car is 16ft 3in long. How long is this in meters? 5. In Germany, cars typically travel 130 km per hour. How fast are they going in miles per hour? 6. A room has a floor area of 48 square yards. What is the area of the room in square feet? Draw a picture of that could represent the room to help you solve the problem. 7. A house has a floor area of 225 square meters. What is the floor area in square feet? 8. A penny is 1 16 in feet and inches. an inch thick. If you made a stack of 1000 pennies, how tall would it be? Give your answer 9. Given that there are 3 ft. per 1 yard, explain why there are 9 square feet in a square yard. Draw a picture to aid your explanation. 10. If a horse weighs 1125 lbs., what is its weight in milligrams? 3
11. Complete each of the following showing as much work as possible. a. Does it take more cups or gallons to measure the amount of water in a large pot? Explain. b. The lifespan of a common housefly is about 8 days. How many hours are in 8 full days? c. A 10k running race is about 6.2 miles. How many feet is this? Assuming that the average person s step is 3 feet long, how many steps are traveled when covering a 10k? d. Tally the cat is 10.5 pounds. How many ounces is this? e. Fredericka s house gate is 45 inches. How many feet is this? (Use decimals) 4
12. Complete each of the following showing as much work as possible. a. If you were born on January 1, 1980 at 12:00 am and measured time until January 1, 2013 at 12:00 pm, how many minutes would you have been alive? b. How many centuries are in 164,240 days? (1 century = 100 years) c. A container measures 16 inches in length by 2 feet in width by 1 yard in height. If volume is found by multiplying length times width times height, find the volume of the container in cubic feet. d. Jose s company measures their gains in $1000 s of dollars. If his company earned 6.2 million in gains, how many $1000 s of dollars is this? e. Tara s pool is 50 yards in length and 20 feet in width. How many square feet is the pool? How many square yards is the pool? 5
13. Complete each of the following showing as much work as possible. a. Write 32 months in months and years. b. 10 years, 6 months is how many months? c. If your final exam time is 110 minutes, write that time span in hours and minutes. d. Amy is 14,964 days old today. How old is this is years and days? (Assume 365 days in a year and no leap years). How many days until Amy s birthday? e. Joseph spent 6.45 hours working on his English paper. How much time is this in hours and minutes? 6
14. Complete each of the following showing as much work as possible. a. Add 2 lb. 10 oz. plus 4 lb. 8 oz. Leave your answer in lb., oz. b. Suppose you took two final exams on a given day. Each final exam allows 110 minutes. You took 1 hour and 5 minutes on the first exam and 50 minutes on the second. How long were you taking exams on that day? How much exam time did you not use on that day? c. How much greater is 3 gallons than 2 gallons 1 qt? d. Maria s pool holds 2962.27 gallons of water when filled to the recommended height. She needs to add 57.63 more gallons to reach this height. How many gallons of water are in the pool? How many quarts of water need to be added? e. Graham ate 9 ounces of protein, 6 ounces of vegetables and 5 ounces of dairy. How many ounces did he eat in total? What is the equivalent weight in pounds? 7
15. Complete each of the following showing as much work as possible. a. Which is the best estimate for the capacity of a bottle of olive oil? Choose from 500L, 500ml, 500 g, 500mg and explain your choice. a. Complete the table. Show your work. Distance from Scottsdale to Las Vegas Centimeters Meters Kilometers 421 c. If a tractor-trailer has a mass of 18,245 kg, what is its mass in grams? d. Which measurement would be closest to the length of a newborn baby? 50 mm, 50 cm, 50 dm, or 50 m? e. Which measurement would be closest to the weight of a penny? 2.5 mg, 2.5 g, 2.5 kg? 8
16. Complete each of the following showing as much work as possible. a. George was riding his bike downhill on a street in a Canadian town. The street-side speed sensor clocked him at 30 km per hour. His bike speedometer was set up in U.S. units of mph. What would the readout have been? b. A short-course meter pool is 25 meters long. A short-course yard pool is 25 yards long. Which one is longer and by how much (in feet)? Round to two decimal places. c. In swimming events, a mile in the pool is considered to be 1600 meters. How many meters separate a swimmers mile from an actual mile? d. At its closest point, the distance from the Moon to the Earth is 225,622 miles. The circumference of the earth is 24,901 miles. How many times would you have to travel around the circumference of the Earth to equal the distance from the Earth to the Moon? (Round to two decimal places) e. Johanna just returned from a trip to South Africa. She has 7342 rands, the currency of South Africa. She looks up the exchange rate and finds that 1 South African rand = 0.1125 U.S. dollars. What is the value of her money in U.S. dollars? 9