1. How many square feet in 4 sq. yd.? In 8 sq. yd.? 2. How many poles in 4 roods? In 6 roods? 3. How many acres in 40 roods? In 160 roods? 4. How many square yards in 81 sq. ft.? In 108 sq. ft.? 5. How many square yards in 1 rood 10 rods? TABLE OF CUBIC MEASURE. 1728 Cubic inches (cu. in.) make 1 Cubic foot, 27 Cubic feet 66 1 Cubic yard, cu. ft. cu. yd. 66 66 1 Perch of stone, pch. c. ft. . How many cubic feet in 4 cubic yards? 2. How many cubic feet in 4 perch of stone? 3. How many cords in 96 cord feet? In 72 c. ft.? 4. How many cords in 128 cu. ft.? 5. How many cord feet in 4 cords? In 384 cu. ft.? NOTE.-Barrels, tierces, hogsheads, pipes, and tuns are not measures, but vessels of variable capacity, which are gauged, the contents being sold by the gallon. 1. How many gills in 3 pints? In 4 pints? 2. In 3 qt., how many gills? 3. In 12 gallons, how many pints? 4. What will 5 gall. of rum cost, if 4 gi. cost 5 cents? 5. How many pints in 2 pipes? 6. A merchant bought a hogshead of molasses for 20 dollars, and sold it at the rate of 15 cents for 3 pints; how much did he gain by the bargain? 76 7. What will 1 gall. of wine cost, at 21 cents for 7 gi.? 8. In 4 quarts and 2 pints, how many gills? I. In 1 peck, how many pints? 2. 2 pecks will fill how many pint measures? 3. In 3 pecks and 3 quarts, how many pints? 4. In 1 bushel and 3 pecks, how many quarts? 5. In 1 bushel, how many quarts? how many pints! 6. If 8 pints of nuts cost 24 cents, what will 3 pecks cost at the same rate? 7. A market woman bought 4 quarts of strawberries for 29 cents, and sold them at 5 cents a pint; how much did she gain? 8. A person sold 2 bushels and 1 peck (or 144 pints) of currants, at 2 cents a pint, and in payment received 1 bushel (or 64 pints) of gooseberries, at 4 cents a pint; how much remains due? 9. What will 5 quarts of wheat cost, if 1 bushel cost 128 cents? The following Table exhibits the divisions of the year, the names of the months, and the number of days in each : Winter. Autumn. Summer. Spring. Winter. The following lines will help to remember the number of days in each month : "Thirty days hath September, Except February alone, Which hath but twenty-eight in fine, In our calculations on interest we shall reckon 30 days to the month, and 12 months to the year, although not strictly accurate. [See New Practical Arithmetic, page 184.] 1. In 2 hours, how many seconds? 2. In 2 weeks and 5 days, how many days? 3. In 48 hours, how many days? 4. In 7200 seconds, how many hours? 5. How many hours in a week? 6. In 1 day 12 hours and 10 minutes, how many minutes? 7. How many hours in a month? 8. If a boy can do a certain piece of work in 40 minutes, how many hours would it take him to perform 12 times as much work? 9. If I can do a piece of work in 10 minutes, how many hours would it take to perform 12 times as much work? 10. How many days in 3 weeks and 5 days? 1. What will 2 reams of paper cost, at 15 cents a quire? 2. How many sheets of paper in 1 ream? 3. How many years in "3 score years and 10"? 4. How many units in a gross ? LESSON XXVI. METRICAL WEIGHTS AND MEASURES. In France and several other countries of Europe, the division of Weights and Measures is on the decimal system. On this system the United States currency is founded, and its application to Weights and Measures is now permitted by Congress. The METRE is the unit in measuring lengths, and is the basis of the system. It is one ten-millionth part of a quadrant of the earth's meridian, or that part of the earth's circumference between the Equator and the Pole. The Metre is nearly equal to 3 feet and 38 inches. 5 Metres 1 Rod nearly. The ARE is the unit for superficial measure. It equals the area of a square whose side is ten metres. The STERE is the unit for wood and cubic measure. It is a cubic metre, and contains 100 litres. The LITRE is the unit in measures of capacity, and is a cubic decimetre. The litre is equal to a little more than a quart wine measure. The GRAM is the unit of weight, and is the weight of a cube of pure water at the temperature of melting ice, each edge of the cube beingth of a metre. The gram is equal to very nearly 15 grains Troy weight. REMARK.-Each of these units is divided decimally, and larger units are formed by multiples of 10, 100, etc. The successive multiples are designated by the prefixes deka, hecto, kilo, myria; the parts by deci, centi, and milli, as shown by the following Tables. The FRANC is the unit of value, and is a coin weighing five grains. It is equal to 18 cents 6 mills U. S. coin. The Ďollar is the unit of value in U. S. currency. Note.-For the Numeration and Notation of Integers and Decimals, see pages 171, 172. |