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Section 1.4:96.5 cm61 13”161295.4 mm29’ 6 5”161.79 miles5 5”8 = 14.3 cm, 4 3”8 = 11.1 cm, 8 1”4 = 21.0 cm, 2 1”2 = 6.4 cm184 mm = 7 1”4, 122 mm = 4 13”16, 30 mm = 1 3”16109.68 cm21.64 ft213,939 ft28.67 yd2.51 m253.82 ft210.8 oz37.4 gallons6.19 yd3946 cm36,912 in33.9 yd34,428 ft3day11.41 ftyr8.0 mileshour39.5 mileshour0.84 gL12.3 mileshour12.1 ms a. 8,951.0 ozft3b. 316.3 gin3c. 49,282.7 gft3d. 490.1 lbsft3e. 4.6 gcm396.9 lbs580 lbs9 grains588 lbs83.4 lbs67.6 lbs368 mg of protein, 883.2 mgdayRefer to the appendix for common conversionsLength ConversionsConvert 38 inches into a measurement in centimeters, rounded to one decimal place.Approach: Convert inches to centimeters using the conversion fact 1 in = 2.54 cmNotice how the conversion chain is arranged in order to allow the inches units to be eliminated, leaving just cm. Also notice that the first ratio does not include a unit label for the number “1.”Convert 157 centimeters into a measurement in inches, rounded to the nearest 16th of an inch.Approach: Convert centimeters to inches using the conversion fact 1 in = 2.54 cmNotice that the same conversion faction was used as in problem 1, except this problem required the reciprocal of the ratio used in problem 1.Convert 51 inches into a measurement in millimeters, rounded to one decimal place.Approach: First change inches to centimeters, then centimeter to millimeters.Notice that a conversion “chain” was used to make the conversion from inches to centimeters and then centimeters to millimeters – multiple conversions in one chain.Convert 9 meters into a measurement in feet and inches, rounded to the nearest 16th of an inch.Approach: Using ONLY the conversion listed in the appendix, change meters to centimeters, centimeter to inches, and inches to feet. We will then have to address the number of inches leftover rounded to the nearest 16th of an inch.Convert 9456 feet into a measurement in miles, rounded to two decimal places.Approach: Change feet to miles using the conversion fact 1 mi = 5280 ft.2524125455295The measurements in the drawing are given in inches. Convert each dimension to centimeters, rounded to one decimal place.Approach: Use the conversion ratio for inches to centimeters on each value. 2769870417195The measurements in the drawing are given in millimeters. Convert each dimension to inches rounded to the nearest 16th of an inch.Approach: Convert each value from millimeters to centimeters then to inches.Area ConversionsConvert 17 square inches into a measurement in square centimeters, rounded to two decimal places.Approach: Using ONLY the conversions listed in the appendix; convert square inches to square centimeters.Convert 236 square inches into a measurement in square feet, rounded to two decimal places.Approach: Convert square inches to square feet using the conversion ratio.A lot in a subdivision is listed as .32 acres, convert .32 acres to a measurement in square feet, rounded to the nearest square foot.Approach: Convert acres to square feet.Convert 78 square feet into a measurement in square yards, rounded to two decimal places.Approach: Convert square feet to square yards.Convert 789 square inches into a measurement in square meters, rounded to two decimal places.Approach: Convert square inches to square centimeters, then to square meters.Convert five square meters into a measurement in square feet, rounded to two decimal places.Approach: Convert square meters to square centimeters to square inches to square feet.Volume ConversionsA 320 mL sample of blood is drawn. Convert it to ounces, rounded to one decimal place. Approach: Convert mL to Liters to cm2 to ounces.Convert five cubic feet into a measurement in gallons, rounded to two decimal places.Approach: Convert cubic feet to gallons. Convert 167 cubic feet into a measurement in cubic yards, rounded to two decimal places.Approach: Convert cubic feet to cubic yards. Convert a liquid measure of 4 cups to cm3 (consider that there are 16 cups in a gallon or 8 ounces in a cup), rounded to the nearest cubic centimeter. Approach: Convert cups to ounces to cm3. Convert four cubic feet into a measurement in cubic inches. Approach: Convert cubic feet to cubic inches.Convert 183,487 cubic inches into a measurement in cubic yards, rounded to one decimal place.Approach: Convert cubic inches to cubic yards.Rate ConversionsConvert 23 gallons per minute (GPM) into cubic feet per day.Approach: Fist convert gallons to cubic feet, then minutes to days.A tree grows 3/8” per day. Convert this growth rate into feet per year, rounded to two decimal places.Approach: Convert inches to feet, then days to years.A paint striper covers 100 meters in 28 seconds. Convert this speed to MPH, rounded to one decimal place.Approach: Convert meters to miles, then seconds to hours.An assembly line manufactures I-beams at a rate of 58 feet per second. Convert this speed to miles per hour (MPH), rounded to one decimal place. Approach: Convert feet to miles then seconds to hours.A blood sample has a glucose level of. Convert this to( grams per liter) . Approach: Convert mg to grams and convert dL to L. Convert a rate of 18 feet per second into miles per hour (MPH), rounded to one decimal place.Approach: First convert feet to miles, then seconds to hours.Notice how all of the units get eliminated leaving only miles and hours. Doing two types of conversions in one chain is very effective, but can be done in two steps by completing the first conversion then setting up a new chain to execute the second conversion.Convert 27 miles per hour (MPH) into meters per second, rounded to one decimal place.Approach: Convert miles to meters, then hours to seconds.Remember there is more than one way to do these conversions. We could have changed the miles to feet, then feet to meters and reached the same conclusion.MaterialMagnesiumAluminumTitaniumZincStainless SteelCopperTungstenGoldWeight (oz/in3)1.0061.5612.6414.1044.5385.18011.15711.169W eights of Common Metals Use the chart of weights of common metals to make the conversions rounded to one decimal place: Convert the weight of Copper to ounces per cubic foot.Approach: Convert cubic inches to cubic feet.Convert the weight of Tungsten to grams per cubic inch.Approach: Convert ounces to grams.Convert the weight of Magnesium to grams per cubic foot.Approach: Convert ounces to grams and cubic inches to cubic feet.Convert the weight of Stainless steel to pounds per cubic foot.Approach: Convert ounces to pounds and cubic inches to cubic feet.Convert the weight of Titanium to grams per cubic centimeter.Approach: Convert ounces to grams and cubic inches to cubic centimeter.Weight ConversionsFind the weight of a five gallon bucket of concrete measured in pounds, rounded to one decimal place. Concrete weighs 3,915 pounds per cubic yard.Approach: Convert cubic yards to gallons and then multiply by 5. Use a conversion chain.Notice how all of the units were eliminated leaving just pounds.Find the weight of a four cubic foot wheel barrow filled with concrete measured in pounds, rounded to the nearest pound. Concrete weighs 3,915 pounds per cubic yard.Approach: Convert cubic yards to cubic feet and multiply by 4.A grain is small unit of weight that pharmacists use (15 grains = 1 gram). Find the number of grains that should be measured into a 600 mg capsule.Approach: Convert mg to grams to grains. Find the weight of a 16 cubic foot laminated veneer lumber (LVL) beam measured in pounds, rounded to the nearest pound. LVL beams weigh .34 ounces per cubic inch. Approach: Start with 0.34 oz/cu in, convert the oz to lb, convert the cu in to cu ft, multiply by 16 cu ft.Find the weight of two 5 gallon buckets of water measured in pounds, rounded to one decimal place. Water weighs 62.4 pounds per cubic foot.Approach: Convert cubic feet to gallons and multiply by 10.Find the weight of a 3,072 cubic inch Douglas fir header measured in pounds, rounded to one decimal place. Douglas fir weighs 38 pounds per cubic foot.Approach: Convert cubic feet to cubic inches and multiply by 3072.A nurse collected 920 mL of urine from a patient over a 10 hour period. The lab analysis showed it to contain a protein concentration of 40 mgdL. Find the total amount of protein excreted by the patient. Find the rate of excretion in milligrams per day.Approach: Convert mL to Liters to dL to mg. Also convert 10 hr to 1 day. ................
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