Ex. 4.-Multiply 455,602 cubic centimetres by 36. Ans. 16 cub. met. 401 cub. decim. 672 cub. centim. Ex. 5.-Divide 1369 kilol. 35 lit. 36 centil. by 72. Ans. 19 kilol. 1 dekal. 4 lit. 3 decil. 8 centil., or 19 kilol. : 12 lit. 38 centil. Ex. 6.-How many times is 12 sq. dekam. 3 sq. met. 15 sq. decim. contained in 216 sq. dekam. 56 sq. met. 70 sq. decim. ? (1.) 3 metres, 2 decim. 4 centim.; 18 metres, 219 millim.; 4 kilom. 2 hectom. 3 dekam. 14 centim.; 12 kilom. 36 metres. (2.) 74006 hectom., 3216 kilom.; 12 myriam. 2167 metres. (3.) 4 sq. met. 42 sq. decim.; 12 sq. dekam. 18 sq. decim.; 82 sq. met. 3250 sq. decim.; 3.271 sq. met. (4.) 18 cub. met. 186 cub. decim.; 39.207365 cub. met. 30761 cub. centim.; 12 cub. met. 124.27 cub. decim. (5.) 25 kilog. 235 grams; 3072 centig.; 13 kilog. 51 grams, 63 millig. 8132.07 decig. (6.) 319 hectar. 4 ares, 51 centiar.; 93-712 hectar. 23756-27 ares; 6 hectar. 4 centiar. (7.) 3 steres, 5 decis.; 209 steres, 4 decis.; 25-76 steres, 13.027 dekas. (8.) 51 kilol. 126 lit. 32 centil.; 123 lit. 3 centil. 15.02703 kilol.; 12 kilol. 3.27602 hectol. (9.) 161 fr. 35 c.; 32 fr. 4 c.; 8276 c.; 10.26 fr.; 16 decimes, 5 c. 2. Subtract (1.) 4 metres, 372 millim. from 16 hectom. 5·06 metres. (2.) 30765 centim. from 12 kilom. 4 metres, 9 millim. (3.) 3 sq. met. 89 sq. decim. from 1 sq. dekam. 7 sq. decim. (4.) 12.0324 cub. met. from 18 cub. met. 29 cub. millim. (5.) 39 grams, 65 millig. from 6 kilog. 12 grams. (6.) 8 hectar. 19.08 ar. from 32 hectar. 70 ar. 2 centiar. (7.) 9 dekas. 6 decis. from 50 dekas. 2 decis. (8.) 6 kilol. 6 millil. from 700 kilol. 3 lit. 3 centil. 3. Multiply (1.) 10 metres, 35 millim. by 7, 11, 13. (2.) 18 kilom. 3.07 metres by 27, 48, 64. (3.) 3.0625 sq. met. by 16, 18, 35. (4.) 4 cub. met. 10 cub. decim. 5 cub. millim. by 19, 23, 26. (5.) 7364 hectog. 9.31 decig. by 15, 25, 20. (6.) 12 hectar. 3 centiar. by 30, 50, 40. (9.) 39 fr. 10 c. by 75, 105, 135. 4. A merchant owed 1500 fr., and he gave in payment 69 metres of cloth at 3 fr. 4 c. per metre, 48 metres of silk at 8 fr. 65 c., 13.5 metres of calico at 75 c. How much does he still owe? (1.) 17 metres, 16 centim. by 11, 12, 13. (2.) 41 kilom. 82 dekam. by 15, 16, 17. (3.) 29 sq. met., 2740 sq. centim. by 14, 21, 35. (4.) 376-38 cub. met. by 9, 27, 45. (5.) 4 kilog. 14 dekag. 18 decig. by 22, 33, 55. (6.) 8 hectar. 58 ares by 65, 60, 55. (7.) 12 dekas. 1-2 decis. by 12, 13, 91. (8.) 36 myrial. 4 kilol. 16 lit. 7 decil. by 9, 18, 27. (9.) 7339 fr. 50 c. by 25, 30, 75. 7. Find the price of— (1.) A metre, when 2 met. 80 centim. cost 70 fr. (2.) A square decim., when 30 sq. met. cost 450 fr. 30 c. (3.) A cubic metre, when 15 cub. decim. cost 361 fr. 80 c. (4.) A hectometre, when 3 kilom. 125 metres cost 10 fr. 25 c. (5.) A kilog. of coffee, when 7 hectog. 50 grams cost 1 fr. 35 c. (6.) A hectare, when 4265 fr. 2·50 c. is the price of 149 ares, 25 centiar. (7.) A stere, when 125 dekas. 4 decis. cost 20631 fr. 60 c. (8.) A decilitre, when 47 dekal. 5 litres cost 570 francs. (9.) A cub. centim., when 1 cubic metre cost 10,000 fr. 8. How many times is— (1.) 1 kilom. 470 met. 38 centim. contained in 36759.50 metres? 20 (2.) 12 sq. decim. 75 sq. centim. contained in 10 sq. met. sq. decim.? (3.) 13 sq. met. 25 sq. decim. contained in 318 sq. dekam. ? (4.) 31 cub. met. 725 cub. decim. contained in 45684 cub. met. ? (5.) 345 millig. contained in 165 kilog. 6 hectog.? (6.) 275 centiar. contained in 396 hectar.? (7.) 7 steres, 2.5 decis. contained in 29 dekas.? (8.) 4 kilog. 5 grams, contained in 38 myriag. 4 kilog. 480 grams? (9.) 8 centimes contained in 10 francs? 9. A merchant bought 95 litres of wine for 118 fr. 75 c., and sold it at a loss of 10 c. per litre. What was the selling price per kilolitre ? 10. To make 12 suits of clothes, it required 40 metres of stuff 90 centim. wide. How much stuff will it take if the width is 80 centim.? 11. How many cubic decimetres of iron are there in a bar weighing 280 kilog. 368 grams, when one cubic centim. weighs 7 grams 788 millig.? 12. An iron wire, 126 metres long, is cut into pieces 3 centim. 2.5 millim. long. How many pieces are there? Relation between the Metric Units and the English System of Weights and Measures. 37. We shall work a few examples to show how quantities expressed in the metric system may be expressed in the English system, and vice versa. Ex. 1.-Reduce 10 kilom. 321 metres to English measure. 10 kilom. 321 metres = 10321 metres. = 10321 x 1.094 miles. 1760 = 6 miles 731·174 yards. Ex. 2.-Express 2 miles, 309 yards in the metric system. 2 miles, 309 yards = (2 × 1760 + 309) yards. = = 3829 yards 3829 metres. 3500 metres. = 1.094 = 3 kilom. 500 metres. = Ex. 3.-Reduce 1 ton to kilograms, having given 1 gram 15.4323 grains. = = 20 × 112 × 7000 grains. 20 X 112 X 7000 15.4323 grams. 1016050-7507 grams nearly. 1016 kilog. 50 grams, 750-7 millig. nearly. Ex. 4.-Express £13. 17s. 44d. in the pound and mil system. (£1 10 florins, 1 florin = 10 cents, 1 cent = 10 mils.) Reducing the given sum to the decimal of a pound, we have £13. 17s. 4 d. 1. Express a mile in the metric system, having given that a metre 39-3708 inches. 2. An are contains 1076-43 square feet. 25 centiares to English measure. Reduce 53 ares 3. The area of a room is 22 sq. met. 26 square decim. Express this in English measure (1 metre 39.3708 inches). = 4. A block of marble measures 3 feet, 3 inches in length, 2 feet, 6 inches in depth, and 3 feet, 9 inches in width. What is the solid content expressed in cub. centim.? 5. In 1235 litres how many gallons, when 50 litres = 11 gallons nearly? 6. Supposing a franc to be equivalent to 9 d., reduce £44. 13s. to francs. 7. Taking £1 sterling as equal to 25-22 francs, reduce £2. 13s. 7 d. to francs. 8. In 1852 France reaped about 47850000 hectol. of wheat. Express this in gallons, assuming 1 gallon 4.543 litres. = 9. The ceiling of a room contains 83 sq. met. 53.96 sq. decim. What will be the expense of painting it at 10d. a square yard (1 metre 1.094 yard)? = 10. Find the cost of 2000 kilog. of sugar at 0 fr. 50 c. per lb. |