312. Measures of Volume. The Cubic Meter, sometimes called the stere (st), is the The contents of ordinary solids are measured by the cubic meter; wood is measured by the stere. 313. Measures of Capacity. The Liter is the unit of capacity. It equals a cubic decimeter. Liquids are measured by the liter, and grains, etc. are meas ured by the hectoliter. 6. What part of a hectoliter is a bushel? 314. Measures of Weight. The Gram is the unit of weight. It is the weight of a cubic centimeter of distilled water at the temperature of 39.2° Fahrenheit. The gram is used in weighing light articles and in mixing medicines, the kilogram in weighing ordinary articles, and the metric ton in weighing heavy articles. How many ORAL EXERCISES. 1. Grams in a kilogram? In a hectogram? NUMERATION AND NOTATION. 315. A denominate number expressed in the metric system is called a Metric Number. A metric number when expressed in a single denomination may be read in either of two ways, as follows: 64.25 m. may be read 64 and 25 hundredths meters, or 64 meters and 25 centimeters. A metric number may be expressed in terms of any denomination. Thus, 6 Dm., 4 2 dm., 5 cm., may be expressed as m. m., 642.5 dm. 6.425 Dm., 64.25 TM., or 6425 cm. EXERCISES IN NOTATION. 1. Write 8 meters and 7 centimeters in terms of meters. In terms of decimeters. In terms of centimeters. PROCESS. 8.07 m. 80.7 dm. 807 cm. Write the number beginning with the unit of measure of each table, and then place the decimal point so that the required denomination is in the units' place. 2. Write 18 decameters, 4 meters, 6 decimeters, and 7 centimeters in terms of decameters. In terms of meters. In terms of decimeters. In terms of centimeters. 3. Write 16 hectometers, 6 decameters, and 5 centimeters in terms of meters. In terms of decameters. In terms of decimeters. 4. Write 8 D., 51, cl. ml. 4 3 in terms of liters. In terms of decaliters. In terms of milliliters. 5. Write 6 Kg., 4 Dg., 6 g., 7 cg., and 5 g. in terms of grams. In terms of decigrams. In terms of decagrams. 6. Write 64 sq. Dm., 45 sq. m., and 18 sq. cm. in terms of square meters. In terms of square decimeters. 7. Write 8 cu. Dm., 7 cu. m., and 6 cu. dm. in terms of cubic meters. In terms of cubic decameters. 8. Write 14 cu. Dm., 137 cu. m., and 375 cu. cm. in terms of cubic meters. In terms of cubic decimeters. REDUCTION OF METRIC NUMBERS. 316. The reduction of metric numbers may be effected by the following principles: Prin. 1.-A metric number may be reduced to a lower denomination by moving the decimal point one place to the right for each decrease in the denomination. Prin. 2.-A metric number may be reduced to a higher denomination by moving the decimal point one place to the left for each increase in the denomination. These principles do not apply to the tables of square and In these tables the decimal point must be moved cubic measure. two places for each change in the denomination of square meas ure, and three places for each change in the denomination of cubic measure. etc.; Thus, 45.6747 sq. Dm. = .000148 cu. dm. etc. WRITTEN EXERCISES. Reduce 1. 7.321 mg to centigrams. 2. 4567 D to decigrams. 9. 93456 to kilograms. 11. 8476543 sq.m. to square kilometers. 12. 4.786953 cu.m. to cubic centimeters. 13. 95432 cu. mm. to cubic decimeters. 14. .00579 Kl. to liters. 15. 48.567 Mg. to metric tons. 16. What is the weight in decagrams of a liter of distilled water at 39.2° Fah.? 17. What is the weight in kilograms of a stere of distilled water? 18. Reduce 45.16 cu. cm. to centiliters. 19. Reduce 42.87 Ha. to ares. 20. What is the weight of 16.51 cu. m. of water in myria grams? 21. How many centiliters of water will weigh 184 mg. ? 22. How many decaliters of water will weigh 16.84 Kg. ? |