Anal. Steps.-1. Find cost of 1 sq. foot. 2. Find the number of sq. feet in the roof. 3. Find the cost. 234. What will it cost to put on a tin roof 48 ft. by 70 at $4.86 per 100 sq. feet? 235. What will it cost to floor a room 80 ft. by 60 at $3.86 per 100 sq. feet? 236. What must I give for slating a roof 80 feet long 47 wide at $3.40 per 100 sq. feet? 237. What must I give to have a tin roof put on a house, each slope being 60 ft. by 37, at $2.27 per 100 feet? 238. How much must I give for a board containing 36 square feet, if 144 sq. in. or 1 sq. foot is worth 6 cents? 239. How much must I give for a board 13 ft. long 18 in. wide at 8 cts. per sq. ft.? 240. How much must I give for paving a walk 300 ft. long 8 ft. wide at $3 per 100 sq. ft. ? 241. How much must I give for paving a walk 89 ft. long 9 feet wide at $3.37 per 100 sq. ft. QUESTIONS.-What are the dimensions of a square foot? What is the length of 9 sq. feet placed in a row? What is the length of one side of a square containing 9 sq. feet? What is the length of a row of 13 sq. inches? How many square feet will it take to cover the surface of a table 9 feet long and 6 feet wide? Seven feet long and 4 feet wide? How many blocks 1 foot square will it take to cover the floor of a room 10 feet long and 12 feet wide? How many rows of feet will it take? How many blocks in a row? LESSON XXXII 242. I own a piece of land 7 furlongs 13 rods long, and 15 rods wide; how many square rods does it contain? 243. I own a piece of land 9 furlongs 7 rods long, and 37 rods wide; how many rods of fence will it take to enclose it? REVIEW.-What is a simple number? (72.) What is a compound number? (73.). What is reduction? (74.) What is reduction descending? (75.) What is reduction ascending? (76.) What is English money? (77.) Recite the table. (77., a.) Which are the gold coins? (78., a.) Which the silver? (78., b.) The bronze? (78., c.) 244. I own a piece of land 3 furlongs 3 rods long, and 13 rods wide; how much will the fence enclosing it cost me at 6 cents per foot? 245. I own a piece of land 2 furlongs 5 rods long, and 37 rods wide; how much will the land cost me at 3 cents per square foot? 246. How many square feet in a ceiling 23 feet long and 17 feet wide? 247. How many square feet in the four walls of a room 26 feet long, 19 feet wide, and 9 feet high? 248. How many square feet in the floor of a room 40 feet long and 18 feet wide? 249. How many square feet in the walls, floor, and ceiling of a room 87 feet long, 38 feet wide, and 18 feet high? 250. How much would it cost to paper the walls of a room 19 feet long, 13 feet wide, and 9 feet high, at 9 cents per square foot? 251. How much would it cost to plaster the walls and ceiling of a room 17 feet long, 13 feet wide, and 9 feet high, at 7 cents per square foot? LESSON XXXIII. 252. What will it cost to paint 1 square foot, if one square yard costs 37 cents? 253. What will it cost to pave 3 square feet, if it costs $1.44 to pave 1 square yard? 254. What will it cost to lay 1 square foot of floor, if 100 square feet cost $2.39 ? 255. What will it cost to lay 27 square feet of roof, if 100 fect cost $9.00? square 256. What will it cost to roof a house with tin, the length REVIEW.—What is the Canada currency? (78., d.) What is the rule for reduction ascending? (78., g.) What is the rule for reduction descending? (78., f.) How may reduction descending be proved? (78., h.) Of what is reduction ascending the reverse? of each side being 84 feet and the width 27 feet at $18 per 100 square feet? 257. What will it cost to pave a walk 46 rods long and 8 feet wide at 54 cents per square yard. 258. What will it cost to roof a house with slate, the length of each side being 46 feet and the width 18 feet, at $16 per 100 square feet? 259. What will it cost to paint the outside of a house 54 feet long 33 feet wide 21 feet high, at 75 cents per square yard, making no allowance for windows and doors? 260. What must I give for 41 acres of land at 2 cents per square foot. 261. What will it cost to pave a street 144 rods long 4 rods wide at $12 per square yard. LESSON XXXIV. SURVEYOR'S SQUARE MEASURE. 93. Surveyor's Square Measure is used in finding the area of land. 262. How many square miles in 379786413 sq. 1. ? REVIEW.-What is weight? (79.) What is the use of troy weight? (50.) What are the denominations? (80., a.) Recite the table. What is the use of avoirdupois weight? (81.) What are the denominations? (81., a.) What is the use of the gross ton? (81., ., 1.) Recite the miscellaneous table. (81., b.) What is the use of apothecaries' weight? (82.) Recite the table. (82., a.) What is the use of apothecaries' fluid measure? (83.) Recite the table. (83., a.) Recite the table of the comparison of weights. (83., b.) sq. 263. How many sq. rods in 14 sq. mi. 390 A. 9 sq. ch. 15 264. How many sq. links, in 13 sq. mi. 11 A. sq. chains? LESSON XXXV. CUBIC MEASURE. 94. A Cube is a solid, having six equal square sides. Thus, a cubic foot is a body 1 foot in length, 1 foot in breadth, and 1 foot in thickness. 95. A Cubic Yard is a solid, one yard or three feet in length, 1 yard or 3 feet in width, and 1 yard or three feet in thickness; therefore a cubic yard will consist of three tiers of feet, each tier consisting of three rows, and each row consisting of 3 cubic feet. REVIEW. Recite the table of English money. (77., a.) Recite the table of troy weight. (80, a.) Of avoirdupois weight. (81., a.) Of apothecaries' weight. (82., a.) Of apothecaries' fluid measure. (83., a.) Of long measure. (88., a.) Of cloth measure. (89., a.) Of surveyor's measure. (90., a.) (a.) Anal. Steps.-1. Find the number of rows of cu. ft. in 1 cu. yd. FORM.-Since there are 3 rows of cubic feet in 1 tier of feet, in 3 tiers there are 3 times 3 rows, which are 9 rows. 2. Find the number of cubic feet in 1 cu. yard. FORM.-Since in 1 row there are 3 cubic feet, in 9 rows there are cubic feet, which are 27 cubic feet. times 3 Concl.-Therefore, in one cubic yard there are 27 cubic feet. Hence to find the solid contents of a body we have the following (b.) Rule.-Multiply the LENGTH by the BREADTH, and that product by the THICKNESS. (c.) Cubic Measure is used in estimating the contents of solids; as wood, stone, capacity of cisterns, &c. (d.) NOTES.-1. A load of earth contains a cubic yard. 2. Railroad and transportation companies estimate light freight by the number of cubic feet it occupies; but heavy freight is estimated by weight. REVIEW.-Recite the table of square measure. (91., a.) Of surveyor's square measure. (93., a.) Of cubic measure. (94., a.) What are the steps to change pounds to shillings? (77., a.) Shillings to pence? Farthings to pounds? What is the use of troy weight? (80.) Of avoirdupois weight? (81.) |