Math 2303 Section 1.7 Dimensional Analysis Dimensional Analysis is the procedure for converting in one unit to an equivalent measurement in another unit. A unit fraction is a fraction in which the numerator and denominator are equivalent measurement in different units. Examples: , .
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Example 1: Convert 8.5 inches to centimeters using a unit fraction. Example 2: Convert 56 fluid ounces to pints using a unit fraction. Popper 2 question 1: 8 quarts __________ pints. a. 4 pints b. 2 pints c. 16 pints d. 32 pints Popper 2 question 2: 6 gallons ____________ fluid ounces 1 Math 2303 Section 1.7 a. 64 fluid ounces b. 128 fluid ounces c. 8 fluid ounces d. 768 fluid ounces Popper 2 question 3: 20 cups _____________ gallons. a. 1.25 gallons b. 5 gallons c. 2.5 gallons d. 2 gallons Example 3: Determine the area in square feet ( ) of unrolled paper towels with dimensions: 10 inches x 20 yards Example 4: A case of Pepsi Cola holds 24 cans each of which contains 12 fluids ounces of Pepsi Cola. How many quarts are there in a case of Pepsi? Example 5: A wall is 5 yards by 8 feet high. Find the area of the wall in square feet (meters). (Round the answer to 2 decimal places). Popper 2 question 4: Determine the area in square feet dimensions: of the strip of unrolled toilet paper with 4 inches x 20 yards 2 Math 2303 Section 1.7 a. 4 b. 20 c. 40 d. 60 Example 6: Convert. a. 2tsp_______ml b. 2 oz. ________ g c. 100 l _________ qt Example 7: A rectangular box is 15 inches long by 15 inches wide by 3 feet high. (Round if necessary to the nearest hundredth). a. Find the volume of the box in cubic inches. b. Find the volume in cubic feet. 3 Math 2303 Section 1.7 c. Find the volume of the box in cubic meter. Example 8: Convert the following items from a recipe: a. 2 cups of flour _________________ ml b. 1 cups of sugar ________________ ml c. 1 table spoon of flavoring ________________ ml Example 9: How many liters will an aquarium hold if it is 70 centimeters long, .05 meters wide, and 500 millimeters high ? Use centimeters. 4 Math 2303 Section 1.7 Popper 2 question 5: Sarah pumped 30 L into her car yesterday. How many gallons did she put in her car? a. 9.5614 gallons b. 10.2220 gallons c. 8.6540 gallons d. 7.9260 gallons 5