Ex. IX. (1) 1500 lks., 800 lks., 1050 lks., 405 lks., 815 lks., 2001 lks., 120 lks. (2) 875 Iks., 325 Iks., 1650 lks., 801 lks., 10 lks., 5 lks., 109 lks. (3) 17 ch., 12 ch. 50 lks., 6 ch. 25 lks., 11 ch. 1 lk., 23 ch. 10 lks. (4) 16.2 ch., 30.05 ch., 2.56 ch., 1.02 ch., 005 ch., 3·185 ch., •1 ch., .01 ch. Ex. X. (1) 50000 sq. lks., 50025 sq. lks., 130750 sq. lks., 11150 sq. lks. (2) 43250 sq. lks., 1250 sq. lks., 70625 sq. lks., 25 sq. lks., 35000 sq. lks. (3) 13 sq. ch., 13 sq. ch. 2575 sq. lks., 156 sq. ch. 2500 sq. lks., 50 sq. ch. 125 sq. lks. (4) 87.5025 sq. ch., 7.262575 sq. ch., 187.65 sq. ch. Ex. XI. (1) 50 sq. ch., 76-25 sq. ch., 183-27 sq. ch., 5.625 sq. ch., 18.75 sq. ch., 025 sq. ch. (2) 200000 sq. lks., 225000 sq. lks., 278750 sq. lks., 187625 sq. lks., 3250 sq. lks. (3) 1.7 ac., 3.725 ac., '89 ac., 0725 ac. (4) 7·83245 ac., 19.23456 ac., 14.00125 ac. Ex. XII. (1) 1078125 sq. lks., 953750 sq. Iks., 275000 sq. lks., 325000 sq. lks., 412500 sq. lks. (2) 5 sq. ch. 9375 sq. lks., 7 sq. ch. 5625 sq. lks., 7 sq. ch. 8125 sq. lks., 15 sq. ch. 5000 sq. lks., 39 sq. ch. 625 sq. lks. (3) 35.0625 sq. ch., 95.375 sq. ch., 15 sq. ch. (4) 1 ro. 17 po., 5 ac. 1 ro. 18 po., 6 ac. 3 ro. 20 po., 2 ro. 3 po., 2 ro. 10 po., 2 ro. 5 po., 39 po. 1 ac. (5) 2 ac. 2 ro., 3 ac. 2 ro. 1 po., 7 ac. 0 ro. 14 po., 6 ac. 0 ro. 1 po. (6) 7 ac. 3 ro. 10 po., 6 ac. 3 ro. 20 po., 10 ac. 0 ro. 7 po. polishing the convex surfaces of four such columns at 1s. 6d. per sq. ft. (49) What is the weight in lbs. of 105 cast-iron cannon balls, each 4 in. in diameter, assuming that 1 c. in. of iron weighs 4 ozs.? (50) How many thousand bricks, each 8 in. long, 4 in. broad, and 3 in. thick, will be required to build a wall 200 ft. long, 10 ft. wide, and 1 ft. thiek? (51) A piece of timber is 20 in. broad, and 16 in. thick; at what distance from the end must it be cut that the part sawn off may contain exactly 5 cubic ft. ? (52) The solid content of a square prism is 735 cubic ft., and each side of its base 7 ft. What will be its solidity when hewn into the largest possible cylinder? (53) A joiner has a block of wood 6 ft. long, 2 ft. wide, and 1 in. thick. How many laths, each 2 ft. long, 1 in. wide, and in. thick, can be cut out of it, making no allowance for waste in sawing it up? (54) If the solid content of a piece of timber be 38.22 cubic ft., its breadth 2.6 ft., and its thickness 1.5 ft., what is its length? (55) What will be the expense of dressing a conical spire at 6d. per sq. ft., the circumference of the base being 30 ft. and the slant height 45 ft.? (56) The altitude of a triangular pyramid is 12 ft., and the three sides of the base 2 ft. 11 in., 3 ft. 8 in., and 6 ft. 3 in. respectively. What is its solidity? (57) The volume of a cube is 166.375 cubic ft. Find the side. (58) A school-room is 32 ft. long, 18 ft. wide, and 10 ft. high. How many children will it accommodate allowing 3 sq. ft. of floor for each; and how many cubic feet of space vill there be for each? (59) Find, in yards, the edge of a cube equal in volume to a rectangular parallelopiped whose length is 16 yds., breadth 12 yds., and height 8ft. (60) The discharge-pipe of a cistern 8 ft. long, 5 ft. broad, and 4 ft. deep is capable of emptying it in 40 minutes; how long would the same pipe take to empty a cistern containing 128 c. ft. of water? (61) What is the height of a closet 8 ft. by 63 ft., which will exactly contain 12 boxes each 4 ft. long, 33 ft. wide, and 2 ft. deep? (62) How many times may a cistern 7 ft. long, 6 ft. 8 in. broad, and 6 ft. deep be filled from another 26 ft. 8 in. long, 16 ft. broad, and 10 ft. 6 in. deep? Butler & Tanner, The Selwood Printing Works, Frome, and London. (19) 42 sq. ft. 116 sq. in. (20) 10 sq. ft. 9 sq. in. (21) 31 sq. yds. 3 sq. ft. 90 sq. in. (22) 13 sq. yds. 2 sq. ft. 63 sq. in. (23) 27 sq. yds. 7 sq. ft. 81 sq. in. (24) 43 sq. yds. 7 sq. ft. 36 sq. in. (25) 1 ac. 1 ro. 16 po. (26) 3 ac. 34 po. (27) 1 ac. 15 po. (28) 13 ac. 34 po. (29) 4 ac. 1 ro. 39 po. (30) 3 ac. 1 ro. 20 po. (31) 211 sq. ft. 120 sq. in. (32) 1 ro. 23 po. (33) 6 ac. 36 po.. (34) 8029 sq. yds. 8 sq. ft. 36 sq. in. (35) £5 10s. 10d. (36) £152 5s. 9d. (37) 21 ft. 4 in. (38) 475 lks. (39) 22 ac. |