119 1. In a figure 7 inches long and 1 inch wide, how many square inches? Ans. 7. 2. In a figure 7 inches long, and 7 inches wide, how many square inches? Ans. 49. 3. Then what is the difference between 7 square inches, and a Ans. 42. figure 7 inches square? 4. In a figure 12 inches long and 1 inch wide, how many square inches ? 5. In a figure 12 inches long and 12 inches wide, how man square inches? 6. Then what is the difference between 12 square incl· inches square? 7. In a figure, 9 inches long, and 1 inch inches? 8. In a figure 9 inches long, and 9 inches ? 9. Then, what is the differen inches square? 10. How many square 69 miles, (statute) or 60 miles, (geographical) ( 1 degree on the earth, ° 360 degrees, the circumference of the earth. NOTE. This measure is used for lengths only, without regard to breadth. Distances, &c., are measured by it. Leagues are principally used in measuring distances at sea. Besides the above table, D F 4 inches make 1 hand; used in measuring the height of horses. 1 fathom; used in measuring depths at sea. 1 line, used in measuring the lengths of pendulum 1 inch, S rods, for time keepers. 30. How many miles in 3,820 rods? A. 113, or 11 mls. 7 fur. 20 rods. 31. How many furlongs in 78,230 rods? A. 1,955 3, or 1,955 fur. 30 rods. 32. How many degrees in 12,472,098 ft. ? A. 34° 9 mls. 2 fur. 28 rds. 4 yds. 33. How many mls. fur. rods, &c., in 218,300,654 in. ? A. 3,445 mls. 3 fur. 8 rds. 3 yds. 2 in. 34. How many deg. in 27,999,666,333 b. c.? 35. How many hands high is a horse, that is 5 ft. in height? 22 TT ow many ft. in 2,870 b. c. ? B B A figure which is 1 inch in length, and 1 inch in breadth, and has all its corners or angles equal, is called a square inch. If each side is a foot long, it is called a square foot, &c. The form of a square is familiar to every one. A B C D is a square. In measuring surfaces, such as the floor of a room, the size of a door, the size or surface of planks or boards, portions of land, &c., we generally express the amount of surface in square inches, square feet, square yards, square rods, square miles, &c.. An ACRE, used often in measuring land, contains 160, square rods. A square yard is a square figure, one yard on each side. A B CD, represents a square yard. But a yard in length contains feet; so that a square yard is a square figure, 3 feet long, and 3 feet wide. A figure 3 feet long and 1 foot wide, as FE G H, contains 3 square feet. There. E fore, a figure 3 feet long, and 3 feet wide, (that is, a square yard,) contains 3 times as many, that is 9 square feet, H 1. In a figure 7 inches long and 1 inch wide, how many square inches? Ans. 7. 2. In a figure 7 inches long, and 7 inches wide, how many square inches ? Ans. 49. 3. Then what is the difference between 7 square inches, and a figure 7 inches square? Ans. 42. 4. In a figure 12 inches long and 1 inch wide, how many square inches ? 5. In a figure 12 inches long and 12 inches wide, how man square inches ? 6. Then what is the difference between 12 square incl inches square? 7. In a figure, 9 inches long, and 1 inch NOTE. In measuring land, a chain, called Gunter's chain, 4 rods in length, is used. It is divided into 100 links. Of course, 25 links make a rod, and 25 times 25 625 square links make a square rod. In 4 rods, there are 792 inches. Of course, I link is 7 92 inches. 100 As 100 links make a chain, it is easy to reduce any number of links to chains. the hundreds will be chains, and the lower orders links. If we point off, res from the right of any number of links, the remaining figures is like reducing cents to dollars. (§ xv.) 4 times 416 square rods. An acre contains 160 refore of an acre. Therefore, square off one figure on the right. A square square links. In the same manner, re chains by pointing off tour fig. ay be further reduced to acres nks may be reduced to acres; inks, how many we make it three feet high, it will contain three times as many cubic feet, that is, 27 cubic feet. But if it be 3 feet high, it will be a yard high, and of course, the figure will be a cubic yard. Therefore, a figure three feet long, three feet wide, and three feet high, that is, a cubic yard, contains 27 cubic feet. 1. In a solid 7 inches long, 1 inch wide, and 1 inch high, how many solid inches? 2. In a solid 7 inches long, 7 inches wide, and 1 inch high, how many solid inches? Ans. 49. 3. In a solid 7 inches long, 7 inches wide, and 7 inches high, how many solid inches? Ans. 343. 4. Then what is the difference between 7 cubic inches and 7 inch. es cube, or cubed. Ans. 336. 5. In a solid 9 inches long, 1 inch wide, and 1 inch high, how many solid inches? 6. In a solid 9 inches long, 9 inches wide, and 1 inch high, how many solid inches ? 7. What is the difference between 9 cubic inches, and 9 inches cube ? 49. How many solid inches in a cube, 31 feet on each side? 50. How many cubic feet in a cellar, 29 feet long, 18 feet wide, and 10 feet deep? 51. How many cubic yards in a ditch 279 feet long, 9 feet wide, and 3 feet deep? 52. A room is 11 feet high, 21 feet long, and 16 feet wide. How many cubic feet of space in it? 58. How many cubic inches in a solid, 1. foot long, 1 foot wide, and 1 foot high? SOLID OR CUBIC MEASURE. 1,728 cubic inches, (cu. in.) make 1 cubic foot, marked cu. ft. 27 cubic feet, 1 cubic yard, S 1 cubic rod, "perch or pole, 66 } 66 1663 cubic yards, or 128 solid feet, or a solid 8 feet long, 4 feet high, 4 feet wide, 66 cu. yd. cu. rd. or cu.p. 1 cubic mile, cu. ml. 1 ton, or load. {1 cord of wood. NOTE. A cord of wood contains what are called 8 FEET OF WOOD, or 8 CORD FEET. Then, as a cord of wood is 4 feet high, 4 feet wide, and eight feet long, a foot of wood, or a cord foot, is a solid 4 feet high, 4 feet wide, and one foot long. A foot of wood, therefore, contains sixteen solid, or cubic feet. 54. How many cubic feet in a pile of wood, 23 feet long, 5 feet wide, and 3 feet high? How many feet of wood in the same pile ? How many cords? Ans. 345 cu. ft.-21 or 2 cords, 89 cu. ft. feet of wood,-2 cords, 51 feet of wood, |