WRITTEN EXERCISES. 1. Write DM, 7 M, 4 cm, 9 mm, as meters. 2. Write 3 MM, 5 HM, 4 M, 8 dm, 3 mm, as meters. 3. Write 6 KM, 4 DM, 3 dm, 7 cm, as meters. 4. Change 7.46 HM to decimeters. 5. Reduce 78.46 KM to meters. 6. Reduce 4.28 MM to centimeters. 7. Reduce 400,326.39 centimeters to decameters. Measures of Surface. ART. 524.-The Are is the unit of surface. It is 10 meters square, and contains 100 square meters. 10 milliares (ma) = 1 centiare, ca. WRITTEN EXERCISES. 1. Reduce 1,217 ares to hectares. 2. Reduce 9 kilares to deciares. 3. Reduce 1,848.362 milliares to ares. 4. What is the surface of a ceiling 15.8 M long and 12.7 M wide ? 5. At $1.25 a sq. M, how much will it cost to carpet a room 8.25 M long and 6.5 M wide? Measures of Volume. ART. 525.-The cubic meter, called a stere, is the unit of volume. It equals 35.3166 cubic feet, or 1.308 cubic yards. TABLE. 1,000 cubic millimeters = 1 cubic centimeter, cu. cm. 1. 1846 cubic centimeters to cubic decimeters. 2. 392.7 cubic decimeters to cubic centimeters. 3. 1654 cubic decimeters to steres. 4. What will it cost to excavate a cellar 15.3 M long, 8.4 M wide and 2.1 M deep, at $.75 a stere? 5. How many loads of coal, each 2.5 steres, will fill a vault 8 M long, 5 M deep and 3.25 M wide ? Measures of Capacity. ART. 526.—The Liter is the unit of capacity. It equals a cubic decimeter, or 1.0567 qt. liquid measure, or .908 qt. dry measure. TABLE. The liter is principally used in measuring liquids in small quantities; the decaliter, in large quantities; the hectoliter in measuring grain. Four liters are slightly more than a gallon; 35 liters are almost a bushel. WRITTEN EXERCISES. 1. Reduce 17 deciliters to decaliters. 2. Reduce 7.002 liters to centiliters. 3. Reduce 349.2 milliliters to myrialiters. 4. Reduce 16.084 kiloliters to milliliters. 5. A tank 4.6 M long, 3.4 M wide, and 4.6 M deep contains how many liters? Measures of Weight. ART. 527.-The Gram is the unit of weight, and is the weight of 1 cubic centimeter of distilled water at the temperature of melting ice. The gram equals 15.432 Troy grains, or .03527 of an ounce avoirdupois. The kilogram, or kilo, is the common unit of weight. It is about 2 pounds avoirdupois. WRITTEN EXERCISES. 1. Reduce 32.1 grams to decagrams. 2. Reduce 413.7 decigrams to decagrams. 3. Reduce 563.04 hectograms to centigrams. 4. Reduce 7.001 milligrams to grams. 5. Reduce 2005.0904 kilos to decigrams. 6. If a kilogram of butter is worth 48 cents, how much will 5 hectograms cost? MEASURES OF VOLUME. 1 cubic inch = 16.387 cubic centimeters. 1 cubic foot = 28.317 cubic decimeters. = .7645 cubic meter. 1 cubic yard 1 cord Review Problems. 1. In a granary is a bin that holds 270 bushels. Its length is 3 times its width and 12 times its depth: what are its dimensions? 2. A pole 50 feet high has a guy 75 feet long attached to its top how far from the foot of the pole will it reach the ground? 3. A cannon ball 15 inches in diameter weighs 450 pounds: what is the diameter of one that weighs 260 pounds? 4. A farm containing 320 acres is twice as long as it is wide: how many rods of wire fence will it take to fence it? 5. What is the area of a right-angle triangle whose base is 16 feet and hypotenuse is 20 feet? 6. A rides on a bicycle as fast as B, who rides 12 miles an hour: how long will it take B to overtake A if the distance between them is 24 miles? 7. A cubical box contains 389,017 cubic inches: what is the length of the diagonal of one of its faces? 8. I wish to turn a ball that will contain 14.1372 cubic inches: what are the dimensions of the smallest square stick of timber that I can use? 9. If a cannon ball 3 inches in diameter weighs 7 pounds, what will one 6 inches in diameter weigh? 10. What is the diameter of the largest circular piece of paper that can be cut from a square piece whose area is 64 square inches? 11. I have a garden in the shape of an isosceles triangle whose long side is twice its altitude: if the long side is 16 yards in length, what is the area of my garden? |