4. How many cords in a pile of wood 60 ft. long, 4 ft. wide and 6 ft. high? Ans. 114. 5. How many perch of stone in a wall 200 ft. long, 11⁄2 ft. thick and 6 ft. high? Ans. 72. 6. How many cubic inches in a tank 6 ft. long, 4 ft. wide and 3 ft. deep? Ans. 124416. 112. The ale gallon contains 282 cu. in., but it is now rarely used. 113. The barrel and the hogshead are no longer fixed measures. Their contents are estimated by gallons. 114. In estimating the contents of cisterns, reservoirs, etc., 1 barrel (bbl.) -31 gallons. 1 hogshead (hhd.) = 63 gallons, or 2 barrels. ORAL EXERCISE. 1. How many gills in 3 pt.? In 3 qt. ? 2. How many pints in 40 gi.? In 3 gal.? 3. How many quarts in 20 gal.? In 40 gi.? 4. How many pints in 3 gal. 2 qt.? 5. If a gill of oil cost 3 cents, how much will a gallon cost? 6. If 2 gal. of wine cost $5.12, 'how much will a gil' cost? WRITTEN PROBLEMS. Ans. 67 qt. Ans. 589 pt. 1. Reduce 16 gal. 3 qt. to quarts. DRY MEASURE. 115. Dry Measure is used in measuring grain, fruit, = 1 bus. = 4 pk. = 32 qt. = 64 pt. 2150.42 cu. in. 1 pint dry measure equals nearly 1 pints liquid mea sure. 116. In measuring grain, beans and other small seeds the measure must be even full. But in measuring beets, potatoes and other coarse vegetables it must be heaped Four heaped measures are equal to 5 even measures. A heaped bushel equals of an even bushel. measure. ORAL EXERCISE. 1. How many pints in 6 qt.? In 3 pk.? 2. How many quarts in 16 pt.? 3. How many quarts in 2 bu.? 4. How many pecks in 80 qt.? 5. How many pints in 1 bu.? In 7 pk.? : WRITTEN PROBLEMS. 1. How many quarts in 3 bu. 2 pk.? 2. How many bushels in 634 qt. of beans? Ans. 112. Ans. 19 bu. 3 pk. 2 qt. 3. How many pints in 17 bu. 3 pk. 6 qt.? Ans. 1148 pt. 4. If I buy 2 bu. of walnuts at $1.50 a bushel, and sell them at 3 cts. a pint, how much do I gain? Ans. 84 cts. APOTHECARIES' FLUID MEASURE. 117. This measure is used in measuring liquids in preparing medicines. TABLE. 60 minims, or drops (m.) = 1 fluid drachm, f3. 1 gal. = 8 pt. 128 f3=1024 f 3 = 61440 m. = 119. In business transactions 30 days is considered a month, and 12 months a year. . The months of April, June, September and November have 30 days each. February has 28 d., except in leap year, when it has 29. The remaining months, January, March, May, July, August, October and December, have 31 days each. In 6 d. ? 3. How many hours in 240 min.? In 4 d.? 6. How many days in 6 wk.? In 60 d.? In 5 wk. 3 d.? 7. What part of a day is 12 hr.? 4 hr.? WRITTEN PROBLEMS. 1. Reduce 6000 sec. to hours, etc. Ans. 1 hr. 40 min. 2. How many minutes in 2 d.? Ans. 2880. 3. How many hours from 3 o'clock in the morning till 9 o'clock at night? Ans. 18 h. 4. How many minutes from 6 o'clock A. M. to 4 o'clock P.M.? Ans. 600 min. NOTE.-A. M. means before noon; M., noon; and P. M., noon. after 5. How much time passes from 10 minutes before 7 in the morning to 8 o'clock 25 min. P. M.? Ans. 13 hr. 35 min. CIRCULAR MEASURE. 120. Circular or Angular Measure is used in measuring angles and arcs of circles. Also in determining the latitude and longitude of places. 121. The measuring unit is called a Degree. It is goo part of the circumference of a circle. 122. A Circle is a plane figure bounded by a curved line, every part of which is equally distant from a point within called the Centre. 123. The bounding line is called the Circumference. The space within the circumference is the circle. B C D 124. An Arc is any part of the circumference, as A B or A C. 125. An Angle is the difference in the direction of two lines meeting at a common point called the Vertex. Thus, BOC and AOC are angles. 126. A Right Angle is one in which the two lines are perpendicular to each other. Thus, A OB and BOD are right angles. 127. An angle is measured included between its two sides. angle BOC is the arc B C. by the arc of the circle Thus, the measure of the 128. Any straight line extending from the centre to the circumference, as O B, is called a Radius, and any straight line passing through the centre and limited by the circumference, as A D, is called a Diameter. |