NOTE. By the above scale of weights the ton contains 2000 pounds; the long ton of 2240 pounds is sometimes used for weighing gross articles, as iron and coal, and is the ton recognized by the United States Government. By this scale the hundred weight equals 112 pounds, and is divided into 4 quarters of 28 pounds each. 1. How many ounces in 2 pounds? in 3 lbs. 2 oz.? 2. How many pounds in 1 cwt.? how many oz.? 3. How many cwt. in 1 ton? how many lbs. ? 4. How many pounds in 20 ounces? in 40 oz.? 5. How many cwt. in 200 lbs. ? in 1000 lbs.? 6. How many tons in 40 cwt.? in 90 cwt.? 7. What part of 1 pound is 8 oz.? 6 oz.? 15 oz.? 8. What part of 100 weight is 20 lbs. ? 36 lbs.? 9. What part of 1 ton is 2 cwt.? 10 cwt.? 15 cwt.? lb.? lb. ? cwt.? 24 cwt.? lb. ? 10. How many oz. in lb.? 12. If 1 cwt. of flour costs $6, what is the cost of 1 lb.? of 50 lbs. ? 13. If I buy 1 cwt. of sugar for $10, and sell it at 14 cents a pound, how much money do I gain on 1 pound? on 1 cwt.? 89. TROY WEIGHT. This weight is used for weighing gold, silver, and precious stones, and where great accuracy is required. 1. How many grains in 1 pwt.? in 2 pwt. 3 gr.? 2. How many pwts. in 3 oz.? in 4 oz. 2 pwt.? 3. How many oz. in 5 lbs.? in 7 lbs. 8 oz.? 4. How many lbs. in 25 oz.? in 39 oz.? 5. How many oz. in 65 pwt.? in 82 pwt.? 90. APOTHECARIES' Weight. This weight is used by apothecaries for mixing medicines. 1. How many grains in 2 scruples? 2. How many scruples in 4 drams? in 1 sc. 15 gr. ? in 5 dr. 2 sc.? 3. How many drams in 8 ounces? in 1 pound? 4. How many ounces in 2 pounds? in 2 lb. 4 oz.? 5. Change 100 grains to units of higher denominaions. Ans. 1 dr. 2 sc. 6. Change 100 drams to units of higher denominations. NOTE. Pounds, ounces, and grains of Troy and Apothecaries' weights are alike. A pound Avoirdupois is heavier than a pound Troy or Apothecaries' weight; but an ounce Avoirdupois is lighter than an ounce of the other weights. 1. Change 1 yard 1 foot to feet; to inches. 2. Change 2 rods to yards; 3 rd. 3 yd. to yards. 3. Change 1 mile to yards; 1 mile to feet. 4. Change 100 in. to units of higher denominations. 5. Change 22 yards to units of higher denominations. 6. Change 90 rods to units of a higher denomination. 7. Change 640 rods to units of a higher denomination. 8. Change of a yard to units of lower denominations. Solution. of a yard of 3 ft.=1 ft. ft. of 12 in. 6 in. Ans. 1 ft. 6 in. 1 9. Change of a yard to units of lower denominations. 10. Change of a rod to units of lower denominations; of a mile to units of lower denominations. 11. What part of 1 mile is 1 rod? are 4 rods? 12. What part of 1 rod is 1 yard? NOTE. Change 1 rod and 1 yard to half yards. 13. What part of 1 rod are 2 yards? 21 yards? NOTE. Each pupil should procure, or make for his own use, measures of the foot marked off into inches, of the yard and the rod. A piece of tape oan be made to answer the purpose. 14. Draw upon your slate or blackboard a line that you think is 1 inch long; 3 inches long; 10 inches long; 1 foot long. 15. Mark off in some convenient place a distance of 3 ft.; 6 ft.; 5 ft. 16. When out of school, measure 1 rod upon the ground, and count your steps in walking that distance. 17. Knowing the number of steps you take in walking the distance of 1 rod, estimate the length of the school-yard, the width of the street, the distance to your home, etc. atI 92. SQUARE MEASURE. This measure is used for finding the area of surfaces, or whatever has length and breadth. 1 square inch, TABLE. 93. A Square is a four-sided figure which has all its sides equal, and all its corners or angles equal. A square 1 inch long and 1 inch wide, contains 1 square inch; a square 1 ft. long and 1 ft. wide, contains 1 sq. ft. ; a square 1 yd. long and 1 yd. wide, contains 1 sq. yd.; a square 1 rd. long and 1 rd. wide, contains 1 sq. rd. ; a square 1 mile long and 1 mile wide, contains 1 sq. m. 1 inch. A Rectangle is a four-sided figure which has its opposite sides equal, and all its angles equal. In the accompanying figure, if B C represents a line 4 inches long, and A B a line 3 inches long, the whole represents a surface containing 3 rows of 4 square inches each, which equals 4x3 12 square inches; hence, to find the Area, or contents of a rectangle, Multiply the number of units in its length by the number of like units in its breadth. B 1. How long must a piece of cloth be which is 1 yard. wide, that it may contain 2 square yards? 3 sq. yds. ? 2. How many square yards of surface can be covered by 8 yards of carpeting which is 1 yard wide? by 5 yards which is 2 yards wide? by 12 yards which is a yard wide? 3. How many square feet are there in a table-cover which is 6 feet long and 6 feet wide? How many square yards are there in it? 4. How many yards of carpeting 1 yard wide will be required to carpet a hall that is 12 feet long and 6 feet wide? 5. How many square yards of carpeting will be required to carpet a room 12 feet square, that is, measuring 12 feet each way? 6. What is the difference between 2 feet square and 2 square feet? 9 inches square and 9 square inches? 7. How many square yards in a room 9 feet square? 8. How many square feet in the surface of a board that is 10 feet long and 8 inches wide? NOTE. In this and in all similar examples, the given dimensions must be reduced to the same denomination before multiplying; thus, 8 in. ft. ×10=20=63. Ans. 6 feet. |
