2. The cubic decimeter is about 61 cubic inches; the cubic meter, or stere, about 35 cubic feet. 3. Where, as in the table, 1000 units of a smaller denomination make a unit of a denomination next larger, the scale is 1000, and three places of figures must be allowed for each denomination. Thus, 1 Cubic Centimeter. 13 cu m 406 cu dm 578 cu cm, written as cubic meters, is 13.406578 cum, which may be read 13 cubic meters, and 406578 cubic centimeters; and, written as cubic decimeters, is 13406.578 cu dm. cu m 10. In 6 how many cubic decimeters? In 8 cu dm how cu mm 11. In 7000° how many cubic centimeters? In 9000 how many cubic meters ? cu dm 12. Express 76.006 cu dm meters. cu m as cubic centimeters; as cubic 13. Express 0.3125 as cubic decimeters; as cubic centi 14. How many liters, and what decimal of a liter, are expressed by 6.451? 15. How many kiloliters, and what decimal of a kiloliter, are expressed by 9.750 KI? 16. How many centiliters are 6 liters? 7.55 liters? 17. How many liters in 600 centiliters? How many kilo liters in 6000 liters? NOTE. The weight of the gram is determined when the water is pure and at the temperature of its greatest density, which is 39.20 Fahrenheit. 1. The gram is used in weighing letters, gold, and jewels, and in mixing medicines ; the kilogram, or, for brevity, kilo, is used in weighing common articles; and the metric ton, in weighing very heavy articles. 2. The kilo is about 2 pounds; and the metric ton, about 1 common tons. 3. Of the United States coinage, the nickel five-cent piece weighs 5 grams; two silver half-dollars, 25 grams; and 80 silver half-dollars, a kilo. 4. A letter sent for a single postage must not exceed the weight of six nickels, or 30 grams. 18. In 5.65%, how many decigrams? How many centigrams? 19. In 5650 mg, how many centigrams? How many decigrams? 20. In 6.315 Kg, how many grams? In 4.670 TM, how many kilos ? 21. What decimal part of a kilo is a gram? What decimal part of a metric ton is a kilo? 22. At 20 cents a kilo, how many dollars will a metric ton of sugar cost? 23. A tank has the capacity of 5.250 kiloliters. How many metric tons of pure water will it hold? 24. I wish to weigh 8.75 Kg. How many silver half-dollars will serve for the weights? REDUCTION OF UNITS. 212. The Units shown in the metric tables form a decimal system (Art. 19), to which apply the following Principles. 1. Ten units, or some multiple of ten units, of any de nomination make one of the next larger unit. 2. A metric number may be changed from one denomination to another next smaller, or larger, by moving the decimal point one or more places to the right, or left, as the case may be. 3. Any denomination may be taken as the unit, the number at the right of the point being read as a decimal of the unit. 213. The units of the metric and the common system may be readily compared by means of the equivalents which have been given, and by means of the following WRITTEN EXERCISES. 25. Express as meters and add 1365 mm, 497 cm, and 145.51 m. 26. Express as ares and add 15.16 Ha, 111.55 a, and 3615 ca. 27. From a range of wood containing 45 steres, I have sold 276 decisteres. How many steres remain ? 28. How many liters in 6 casks, each containing 3.40 H1? 29. Eight men shared equally 21.080 metric tons of sugar. What is each man's share worth at 20 cents a kilo ? 30. From a farm containing 365.50 Ha there have been sold two small lots; the one containing 8.42 Ha, and the other 87.25. How much remains? 31. Change 125 meters to feet. 32. If your weight is 55 kilos, what is it in pounds avoirdupois ? 33. A garden plat contains 306 square meters. How many square yards are there in it? 34. A farm is 450 hektares in extent. How many acres does it contain? 35. A barrel of flour weighs 196 pounds. What is its weight in kilos ? 36. The produce of 7 acres was 210 bushels of wheat. What was it in hektoliters ? 37. When butter is 35 cents a pound, how much should it be a kilo? Solution. At 35 cents a pound, a kilo, which is 2.2046 pounds must cost 2.2046 times 35 cents, or 77+ cents. |