(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.
(25) 133956 sq. yds. =27 ac. 2 roods 28 poles 9 sq. yds.
(26) 16 yds.

=

(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.
(8) 226200 sq. links=2 ac. 1 rood 1 pole 27.83 sq. yds.
(9) 7705 sq. yds. = 1 ac. 2 roods 14 poles 21 sq. yds.

(10) 8748 sq. yds.

(12) 33.966 sq. ft.
(14) 9 yds. 2 ft.
(16) 121 yds.

(18) 2 chains 50 links.
(20) £5 6s. 3 d.
(22) 6 yds. 2 ft. 7 in.

(24) £234 18.

(11) 41772 sq. yds.

(13) 11 yds. 2 ft.
(15) 4 yds. 2 ft. 8 in.
(17) 127 yds.

(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.