5.1.3 Volume Measurements

[ The gallon was originally based on a Roman vessel used for wine. Stout drinkers, those Romans. ] To measure volume, the system in the United States uses units like gallons and quarts. There are four quarts in one gallon.

Activity symbol Activity: Volume

For each of the following scenarios, use the appropriate operation and unit to determine the answer.

(a) You own an automotive garage. At the beginning of the month, you purchase 120 quarts of motor oil. Each week you use 22 quarts. How many quarts of oil will you have left over at the end of the month? What is this value in gallons?

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Discussion

For part (a), you may assume that there are four weeks in a month. First find out how many quarts of oil were used during the month.

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Answer

(a) If there are 22 quarts used each week, then there are a total of 22 multiplication four equals 88 quarts used that month. Since we started with 120, there will be 120 minus 88 equals 32 quarts left over.

There are 4 quarts in a gallon so 32 quarts in gallons is 32 division four equals eightthere are 8 gallons of oil remaining at the end of the month.

(b) On Monday, you pumped 14.5 gallons of gas into your car. The following Monday, you fill your tank with 15.7 gallons of gas. How much total gas did you put into your vehicle?

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Discussion

Be sure to line the numbers up by the decimal point.

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Answer

(b) multiline equation line 1 11 times 41 times .5 line 2 plus plus 15.7 low line line 3 30.2

Thus, you pumped a total of 30.2 gallons of gas into your car.

5.1.2 Weight Measurements

5.1.4 Alternate Units of Measurement—the Système Internationale