(6) A certain vessel when empty weighs 50 lbs. ; but when filled with water, it weighs 331 lbs. Find the capacity of the vessel, when 1 cubic foot of water weighs 1000 oz. avoirdupois. (7) An iron ring weighs 337 lbs.; find how many cubic inches there are in the ring, when 1 cub. in. of iron weighs 4 oz. avoirdupois. (8) A piece of lead weighs 1233 lbs. ; find its volume, when 1 cub. in. of lead weighs 63 oz. avoirdupois. (9) A brass cannon weighs 3 tons; find how many cubic inches of brass were used in its construction, when 1 cub. ft. of water weighs 1000 oz. avoirdupois, and brass is eight times as heavy as water. (10) How many cubic feet are there in a ton of coal, when 1 cub. ft. of water weighs 1000 oz. avoirdupois, and coal is 14 times as heavy as water? (11) Find approximately the solid contents of a block of marble, whose four equidistant measurements are 6 ft. by 5 ft., 5 ft. by 4 ft., 4 ft. by 3 ft., 3 ft. by 2 ft.; the length of the block is 16 ft. H (2) 6 sq. ft. 97 sq. in. (1) 65 sq. ft. 49 sq. in. (3) 39.0625 sq. ft. = 39 sq. ft. 9 sq. in. (4) 25600 sq. yds. =5 ac. 1 rood 6 poles 81⁄2 sq. yds. (5) 105625 sq. links = 1 ac. 0 rood 9 poles. (6) 110889 sq. yds. 22 ac. 3 roods 25 poles 223 sq. yds. (7) 13122 sq. yds. = 2 ac. 2 roods 33 poles 234 sq. yds. (8) 266450 sq. links = 2 ac. 2 roods 26 poles 9.68 sq. yds. (9) 14112 sq. yds. = 2 ac. 3 roods 26 poles 15 sq. yds. (10) 279 yds. (12) 111.7 in. = 9 ft. 3.7 in. (14) 127 yds. (11) 72 poles, or 396 yds. (13) 275 yds. (16) Side 222-733 yds.; diag. 314.992 yds. (17) 648 sq. yds. (19) £12 12s. (21) 3.741 in. (15) 220 yds. (18) 49-497 yds. (20) 71 yds. (22) £264 12s. (23) 131.521 in. = 10 ft. 11·521 in. (24) £34 13s. 9d. = (27) 29241 sq. yds. 6 ac. 0 rood 6 poles 193 sq. yds. (3) 99 sq. ft. 95 sq. in. (5) 8 sq. ft. 273 sq. in. (2) 14 sq. yds. 6 sq. ft. (4) 49 sq. ft. 54 sq. in. (6) 11 sq. yds. 7 sq. ft. 48 sq. in. (7) 37800 sq. yds. =7 ac. 3 roods 9 poles 17 sq. yds. (10) 8748 sq. yds. (12) 33.966 sq. ft. (18) 2 chains 50 links. (24) £234 18. (11) 41772 sq. yds. (13) 11 yds. 2 ft. (19) 11 yds. (21) 7168 tiles. (23) 23 yds. 2 ft. 1 in. (25) £4 2s. 2 d. (27) £4166 13s. 4d. (26) 1 ft. 8 in. (28) 6 ft. (30) 1514 yds. (33) 71 links. (29) £35 12s.; £32. (31) 7 chains. (32) Square=625 sq. ft.; rectangle = 400 sq. ft.; difference 225 sq. ft. (35) £23 Os. 411d. (37) £12 19s. 93d. (34) 56 yds. (36) £37 16s. 4 d. (38) 15 ft. (39) Square=9604 sq. yds.; rectangle = 2548 sq. yds.; difference 7056 sq. yds. (40) 82668 sq. yds. = 17 ac. 0 rood 12 poles 25 sq. yds. (48) Diagonal of rectangle = 53 yds.; diag. of square=50.199 yds. (49) £118 88. (51) £28 48. (50) 73 sq. yds. (52) 10 in. (53) £3 14s. 3d. IV. THE OBLIQUE PARALLELOGRAM. (1) 3 sq. ft. 93 sq. in. (3) 161 sq. yds. 8 sq. ft. (2) 1164 sq. ft. 54 sq. in. (4) 25200 sq. yds.=5 ac. 0 rood 33 poles 12 sq. yds. (5) 1250 sq. poles=7 ac. 3 roods 10 poles. (6) 337500 sq. links =3 ac. 1 rood 20 poles. (4) 430560 sq. links=4 ac. 1 rood 8 poles 27.328 sq. yds. (5) 12375 sq. yds. = 2 ac. 2 roods 9 poles 23 sq. yds. (22) 1444 sq. yds. (16) 204-6 sq. yds. (18) 420 sq. ft. (20) £1 10s. (21) Square=225 sq. ft.; triangle =173·205 sq. ft. (23) 46410 sq. links = 1 rood 34 poles 7.744 sq. yds. (24) £156 3s. 11,73d. (25) Parts 32 ft., 18 ft.; areas 216 sq. ft., 384 sq. ft. (26) 393 sq. ft. 48 sq. in. (27) 16.8 ft. (28) Ac=14 ft.; AB=213 ft.; BD = 222 ft.; and area = 1477 sq. ft. (29) 23.61 ft. (30) Triangle = 10000 sq. yds., or 2 ac. 10 poles 17 yds.; parts = 2000 sq. yds., or 1 rood 26 poles 3 sq. yds.; and 8000 sq. yds.. or 1 ac. 2 roods 24 poles 14 sq. yds. (31) 7.154 ft. |