sions: length and width; as the face of a black-board, or the surface of a floor or slate. All surfaces are measured by squares, like those on a chessboard, or like this figure: A square inch is a surface 1 inch long and 1 inch wide. A square foot is a surface 1 foot long and 1 foot wide. The measures used in measuring surfaces are the square mile (sq. mi.), the acre (A.), the square chain (sq. ch.), the square rod (sq. rd.), the square yard (sq. yd.), ONE A SQUARE YARD. the square foot (sq. ft.), and the squre inch (sq. in.) Measures sometimes used: 1 sq. rd. 1 perch or pole = (P.); 40 P. 247. 1. How many sq. in. in 2 sq. ft.? 5 sq. ft.? sq. ft.? sq. ft.? 2. How many sq. ft. in 144 sq. in.? 432 sq. in.? 72 sq. in.? 36 sq. in.? 3. How many sq. ft. in 3 sq. yd.? 9 sq. yd.? 20 sq. yd.? sq. yd.? 4. How many sq. rd. in 5 sq. ch.? 7 sq. ch.?sq. ch.?sq. ch.? 5. How many acres in 40 sq. ch.? 100 sq. ch.? 75 sq. ch.? 2 sq. ch.? 248. Reduce: WRITTEN EXERCISES. 1. 9 sq. yd. 7 sq. ft. to square feet. 2. 93 sq. ft. to square yards. Ans. 88 sq. ft. Ans. 10 sq. yd. 3 sq. ft. 3. 84 sq. rd. 12 sq. yd. 6 sq. ft. to square feet. Ans. 22983 sq. ft. 4. 583 sq. rd. to acres. Ans. 3 A. 6 sq. ch. 7 sq. rd. 5. 17 A. 3 R. 15 P. to poles or perches. Ans. 2855 P. 6. 13573 sq. ch. to square miles. Ans. 2 sq. mi. 77 A. 3 sq. ch. 7. 16725 sq. in. to square yards. Ans. 12 sq. yd. 8 sq. ft. 21 sq. in. 8. 16 sq. rd. 5 sq. ft. to square inches. 9. 11 A. 8 sq. ch. 3 sq. yd. to square feet. 10. 1 sq. mi. to inches. Ans. ? Ans. ? Ans. ? SOLID OR CUBIC MEASURE. 249. A Volume or Solid is that which has three dimensions: length, width and height; as a box, a room, or a book. All volumes are measured by cubes like this figure: A cubic inch is a volume 1 in. long, 1 in. wide, 1 in. high. A cubic foot is a volume 1 ft. long, 1 ft. wide, 1 ft. high. The measures used in measuring volumes are the cord (c.), the cubic yard (cu. yd.), the cubic foot (cu. ft.), and the cubic inch (cu. in.) A CUBIC YARD. A cord is used for measuring wood. A pile of wood 8 feet long, 4 feet wide, and 4 feet high is a cord. One foot in length of this pile, or 16 cu. ft., is a cord foot. MENTAL EXERCISES. 250. 1. How many cu. ft. in 2 cu. yd.? 5 cu. yd.? cu. yd.? cu. yd.? 2. How many cu. yd. in 81 cu. ft.? 270 cu. ft.? 9 cu. ft.? 3 cu. ft.? 251. Reduce: WRITTEN EXERCISES. 1. 13 cu. ft. to cubic inches. Ans. 22464 cu. in. 2. 25 cu. ft. 524 cu. in. to cubic inches. Ans. 43724 cu. in. 8. 2379 cu. in. to cu. ft. Ans. 1 cu. ft. 651 cu. in. 4. 9 cu. yd. 123 cu. in. to cubic inches. 252. The Measures used in measuring liquids, such as water, milk, oil, whisky, etc., are the hogshead (hhd.), the barrel (bar. or bbl.), the gallon (gal.), the quart (qt.), the pint (pt.), and the gill (gi.). 1. Gills in 2 pt.? 5 pt.? 1 qt.? 3 qt.? 1 gal.? 2 gal.?gal.? 2. Pints in 8 gi.? 32 gi.? 2 qt.? 7 qt.? qt.? 3 gal.?gal.? 3. Quarts in 4 pt.? 20 pt.? 2 gal.? 10 gal.?gal? gal.? 32 gi.? 4. Gallons in 1 bar. ? 2 bar. ? 2 hhd.? 20 qt. 56 pt.? 64 gi? hhd.? 254. Reduce: WRITTEN EXERCISES, 1. 7 gal. 2 qt. 1 pt. to pints. Ans. 61 pt. 2. 1039 gi. to gallons. Ans. 32 gal. 1 qt. 1 pt. 3 gi. 3. 32 gal. 2 qt. 1 pt. to gills. Ans. 1044 gills. 255. The measures used in measuring quantities that are not liquid, such as grain, potatoes, coal, etc., are the bushel (bu.), the peck (pk.), the quart (qt.), and the pint (pt.). 4 pk. = 1 bu. One bushel contains 2150.4 cu. inches; hence, one gallon, Dry Measure, contains 268.8 cu. inches. MENTAL EXERCISES. 256. How many: 1. Pints in 2 qt.? 7 qt.? qt.? 1 pk.? 5 pk.? pk.? 2. Quarts in 8 pt.? 20 pt.? 11 pt.? 2 pk.? 7 pk.? pk.? 3. Pecks in 16 qt.? 36 qt.? 16 pt.? 48 pt.? 2 bu.? bu.? |