214. These measures are usually written as liters and decimal parts; or as dekaliters and decimal parts. Thus, 2 kiloliters, 7 hektoliters, 7 liters, and 5 deciliters are written 2707.5', or 270.75 DL 215. Oral Exercises. 83. Read 5.6'; 17.5; 41.83; 84.6 H 84. In 75' how many dekaliters? deciliters? centiliters? 216. Written Exercises. 90. What must I pay for 17.3 H of wheat at $0.28 a dekaliter! 91. What did I pay a liter, if 3.45 H of wine cost me $179.40? 92. If I pay $7.30 for 4.25 H of oats, how much are 4' worth? 93. How many liters in a tank 4.3 m long, 3.75m wide, and 1.6m deep? =25.8 cu =25800 cu dm =25800', Ans. 94. How many hektoliters in a bin 3m long, 2m wide, and 1.5TM deep? 95. What is to be the depth of a bin 12" long and 8 m wide, in order to hold 2500 hektoliters of grain? 218. These measures are usually written as grams and decimal parts; or as kilos and decimal parts. Thus, 32 grams, 17 centigrams are written 32.17%. 2 tons, 7 kilos, 25 grams are written 2007.025 K. 219. EQUIVALENTS. 18 = weight of 1 cu cm, or milliliter, of pure water (at 4° C.). 1 K 1 T 66 66 = of 1 cu dm, or liter, 66 66 NOTE The limit of the weight of a letter for a single postage is 15 grams. 220. Oral Exercises. 96. Read 78.6; 21.4K; 144; 25.4 T. T 97. In 2.5 how many kilograms? how many grams? 98. In 14.4K how many grams? 99. In 414.7 how many centigrams? 100. In 1215 mg how many grams? 101. In 2787 how many kilograms? 102. In 846.8K how many tons? 103. What is the weight of 27 H of water? 104. How many liters in 55 dg of water? 105. How many cubic meters in 757 kilograms of water? 106. If I pay $85 a ton for sugar, what do I pay a kilogram? 221. Written Exercises. 107. How many kilos of water will a cistern 1.75 m long, 1.3TM broad, and 0.8m deep, contain ? 108. At $0.75 a kilogram what will 1.17 T of coffee cost? 109. At $7 a ton for coal what will it cost to keep an engine running 6 days if it takes 60K of coal a day? 110. What is the capacity of a bottle that weighs when empty 630, and when filled with water 7.75 K? WEIGHT OF BODIES. 222. The specific gravity of a body is its weight compared with the weight of the same bulk of water. Thus, if a cubic foot of cast iron weighs 7 times as much as a cubic foot of water, the specific gravity of the iron is 7.2. If cork is one fourth as heavy as water, its specific gravity is 0.25. 223. The specific gravity of a few substances is, approximately, as follows: 224. When the specific gravity of a body and its magnitude in metric measures are known, its weight is easily computed. 225. Written Exercises. 111. What is the weight of 44 liters of mercury? Solution. 44 liters of water weigh 44 kilos (Art. 219); and 44 liters of mercury weigh 13.5 times as much. 44 X 13.5 K=594K, Ans. Hence, Rule. Multiply the weight of an equal bulk of water by the specific gravity. 112. Find the weight of a block of marble 1.6 m long, 0.75 m wide, and 0.4 m thick. 113. What is the weight of a bar of gold 25 centimeters long, 3 centimeters wide, and 16 millimeters thick? 114. What is the weight of a bar of iron 3 meters long and 2 centimeters square? 115. What is the weight of a stick of maple timber 4" long, 0.3m wide, and 0.25 m thick? 116. What is the value at 30 cents a kilo of a piece of sheet lead 3.25 m long, 2m wide, and 3" thick ? 117. What is the weight of 12 liters of milk? 118. If I buy 25 liters of milk and it weighs only 25.5*, is it pure? 119. If a barrel full of alcohol weighs 154 K and the barrel alone weighs 11.2 K, how many liters of alcohol are there in the barrel? 226. The names of the decimal weights and measures are formed according to a simple law, as will be seen by inspection of the following scheme : 121. Reduce 1256.7 kilos to tons. 122. Add 125", 17.06 Hm, .071Km, and 3000 mm. 123. Add 25.06 T, 18315, 16.05 K, and 7 Dg. 124. From 20 hectoliters subtract 1862.15 liters. 125. From 91 cubic meters subtract 280.31 hektoliters. 126. Multiply 17.28 by 312500. 127. Multiply 51.2 mm by 687500. 128. Divide 120 Km by 15 m 132. How many coins, each weighing 5 grams, can be coined from a cubic decimeter of silver? |