cubic centimeter is the unit of volume used by chemists as well as in pharmacy, medicine, surgery, and other technical work. One thousand cubic centimeters make 1 liter. The hectoliter (100 liters) serves the same purpose as the United States bushel (2,150.42 cubic inches), and is equal to about 3 bushels, or a barrel. A peck is about 9 liters. The liter is used for measurements commonly given in the gallon, the liquid and dry quarts, a liter being 5 per cent larger than our liquid quart and 10 per cent smaller than the dry quart. A liter of water weighs exactly a kilogram, i. e., 1,000 grams. A thousand liters of water weigh 1 metric ton. Units of Weight (or Mass) Measurements commonly expressed in gross tons or short tons are stated in metric tons (1,000 kilograms). The metric ton comes between our long and short tons and serves the purpose of both. The kilogram and half kilo serve for everyday trade, the latter being 10 per cent larger than the pound. The kilogram is approximately 2.2 pounds. The gram and its multiples and divisions are used for the same purposes as ounces, pennyweights, drams, scruples, and grains. For foreign postage, 30 grams is the legal equivalent of the avoirdupois ounce. *One liter equals 1.05668 liquid quarts or 0,9081 dry quarts. In most business transactions 30 days are considered a month and 360 days a year. The solar year is exactly 365 d. 5 hrs. 48 min. 49.7 sec. A common year consists of 365 days for three successive years. Every fourth year, except as noted below, one day is added for the excess of the solar year over 365 days, and we have 366 days, which make what is called a leap year. The extra day is added to the month of February, which then has 29 days. The following rule for leap year will make the calendar correct to within one day for a period of 4,000 years. Every year exactly divisible by 4 is a leap year, the centennial years excepted; the other years are common years. Every centennial year exactly divisible by 400 is a leap year; the other centennial years are common years. Thus 1904 is a leap year, but 1905 is a common year; also, the year 2000 is a leap year, but 1800 and 1900 are common years. These values, with the exception of the eagle, apply also to Canadian money. The unit of English money is the pound sterling, the value of which in United States money is $4.8665. Comparative table of Metric and English equivalents (approx.) 20 quires = 2 reams PRACTICAL MATHEMATICS PART II Do not Read Carefully: Place your name and full address at the head of the paper. Any cheap, light paper like the sample previously sent you may be used. Do not crowd your work, but arrange it neatly and legibly. copy the answers from the Instruction Paper; use your own words, so that we may be sure that you understand the subject. 1. What is the total weight of 84 bolts, each weighing 6.4 ounces? 2. In determining the specific gravity of a liquid it was found that a bottle when filled with the liquid weighed with its stopper 6.00 grams. The bottle alone weighed 2.14 grams and the stopper 1.31 grams. What was the weight of the liquid? 3. Reduce 6, 101, 24, and 16 to improper fractions having a common denominator. 4. How many quart cans of paint can be filled from two kegs, each containing 15 gallons and 1 pint? 5. Reduce the following, giving approximate results: 6. (a) 4,375 meters to feet. (b) 7,563 lbs. to tons. (f) 7,600 pints to gallons. Find the product of, 13, 15, and 6. 7. A rod is cut into three parts 14, 11, and 2 inches long. What was the length of the rod? 32nds. 8. Express .5 in 8ths of an inch; .62 in 16ths; .729 in 10. The fly wheel of an engine makes 225 revolutions per minute. If it should vary 2%, what would be the highest and lowest speeds? 11. One of two steam shovels delivered 3 cu. yds., 2 cu. ft., 20 times per hour, and the other delivered 1 cu. yd., 7 cu. ft., 24 times per hour. How much more does one deliver in an hour than the other? 12. The grate of a furnace has an area of 25 square feet; 260 lbs. of coal are burned per hour. How much coal is consumed per square foot per hour? 13. The length of an electric transmission line is 20 miles, 275 rods. What is the length of the line in feet? 14. The resistance of four separate wires is as follows: 1, 1, 1, and ohms. If the wires are connected in series so that the resistances are added, what is the total resistance? 15. The temperature of steam at 100 lbs. per sq. inch is 327.58 degrees, and at 70 lbs., 302.71 degrees. What is the difference in temperature? 16. A reservoir contains 2,360 cubic feet of water. How long will it require to empty the reservoir with a pump delivering 13 cubic feet per second? 17. A plate is 3.26 inches thick. In planing it, .697 inches are removed from each side. What is the thickness of the finished plate? 18. A carload of coal contains 25.6 tons. If the coal is sold at $1.65 per ton, what is the value of the carload? 19. In finishing a house having 8 rooms, 14 doors, 16 large windows, and 3 small windows, the nails are taken from a keg containing 100 lbs. The finish for each room requires 2 lbs., 5 oz., of nails, for each door 14 oz., for each large window 13 oz., and for each small window 8 oz. What was the total weight of nails used for the house? What per cent of the keg of nails was left? 20. A keg of rivets weighing 104 lbs. contains 605 rivets. What is the weight of each rivet? 21. Coal weighs 26 lbs. per cubic foot. How many cubic feet do 100 tons occupy? 22. A bookshelf is to be constructed so that it will hold 17 books. 12 of these are each 15" thick; 4 are 13" thick; and 1 is 3" thick. What must be the total length of the shelf? 23. An electric light plant has an average coal consumption of 25 tons per day when the condenser is in use. When the con |