The Surveyor's or Gunter's chain is generally used in surveying land. It is 4 poles or 66 feet in length, and is divided into 100 links. 10 square chains 16 square poles, - Land is generally estimated in square miles, acres, roods, and square poles, or perches. QUESTIONS. §84. For what is square measure used? What is a square? If each side be one foot, what is it called? If each side be a yard, what is it called? How many square feet does the square yard contain? How is the number of small squares contained in a large square found? Repeat the table. What chain is used in surveying land? How long is it? How is it divided? Repeat the Table. How is land generally estimated? EXAMPLES. 1. In 32M. 25A. 3R. how many square poles? 32 640 20505 4 82023 roods, Ans. 3280920 P. 2. In 19A. 2R. 37P. how many square poles? 3. In 175 square chains; how Ans. 3157P. many square rods? Ans. 2800P. 4. In 37456 square inches, how many square feet? Ans. 260 Sq. ft. 16 Sq. in. 5. In 14972 square rods, how many acres? Ans. 93A. 2R. 12P. 6. In 3674139P. how many square miles? Ans. 35M. 563A. 1R. 19P. SOLID OR CUBIC MEASURE. 85. Solid or cubic measure is used in measuring stone, timber, earth, and such other things as have the three dimensions of length, breadth, and thickIts denominations are tons, cords, yards, feet, and inches. ness. when the sides of the cube are one yard, as in 3 feet=1 yard. 3 feet-1 yard. the figure, the cube is called a cubic or solid yard. The base of the cube, which is the face on which it stands, contains 3x3 9 square feet. Therefore 9 cubes, of one foot each, can be placed on the base. If the solid were one foot high it would contain 9 cubic feet; if it were 2 feet thick it would contain two tiers of cubes, or 18 cubic feet; and if it were 3 feet high, it would contain three tiers, or 27 cubic feet. Hence, the content of a solid is equal to the product of its length, breadth, and thickness. Therefore, 1 cubic foot contains 12 × 12 × 12=1728 cubic inches. TABLE. 1728 solid inches, S. in. make 1 solid foot, 27 solid feet 40 feet of round, or 50 S. ft. 1 solid yard S. yd. } 1 ton Ton. make 1 Cord of wood. C. feet of hewn timber, 128 solid feet 8×4×4, that is, a pile 8 feet in length, 4 feet in width, and 4 feet in height. NOTE.-A cord foot is one foot in length of the pile which makes a cord. It contains 16 solid feet. QUESTIONS. §85. For what is solid or cubic measure used? What are its denominations? What is a cube? What is a cubic or solid foot? What is a cubic yard? How many cubic feet in a cu bic yard? What is the content of a solid equal to ? Repeat the table. What is a cord of wood? How many solid feet does it contain ? EXAMPLES. 1. Reduce 14 Tons of round timber to solid inches. 14 40 560 12 6720 12 80640 12 Ans. 967680 solid inches. 2. In 55 cords of wood, how many solid feet? Ans. 7040. 3. In 25 cords of wood, how many cord feet? Ans. 200 cord ft. 4. Reduce 3058560 cubic inches to tons of round timber. 1728)3058560(1770 1728 Ans. 220 cords. 6. Reduce 174964 cord feet to cords. Ans. 21870 cords, 4 cord feet. WINE MEASURE. § 86. Wine measure is used in measuring all liquors excepting beer and ale. Its denominations, are tuns, pipes, hogsheads, barrels, gallons, quarts, pints, and gills. tun pi. hhd. bar. gal. qt. pt. gi. 1=2=4=8=252=1008=2016=8064 1=2=4=126= 504=1008=4032 1= 2= 8 NOTE.-A gallon, wine measure, contains 231 cubic inches. QUESTIONS. § 86. What is measured by wine measure? What are its denominations? Repeat the table. What is the content of the wine gallon? EXAMPLES. 1. In 5 tuns 1 hogshead of wine, how many gal 2. Reduce 12 pipes 1 hogshead and 1 quart of wine, to pints. Ans. 12602pt. 3. In 1 tun of cider, how many gills? Ans. 8064. 4. In 10584 quarts of wine, how many tuns? 4)10584 |