MENTAL EXERCISES. 1. In 2 square feet how many square inches? feet? In 5 square feet? In 20 square feet? 2. In 3 square yards how many square feet? In 20 sq. yd.? In. 50 sq. yd.? In 100 sq. yd.? 3. In 5 roods how many poles? In 20 roods? 4. In 7 acres how many roods? In 24 acres? 5. How many roods in 80 sq. rods? In 4 square In 10 sq. yd. ? In 30 roods ? In 160 sq. rods? EXERCISES FOR, THE SLATE. 1. How many square inches in 12A. 3R. 24p. 144ft. 72in. ? Ans. 809 37864 inches. 2. In 80937864 square inches how many acres? 1089) 2248272 fourths of a foot. 40) 2064 poles. 576 ÷ 4 = 144ft. 4) 51 R. 24p. Ans. 12 A. 3R. 24p. 144ft. 72in. QUESTIONS. How do you reduce acres to square inches? Give the reason for the operation. How do you reduce square inches to acres? What is the reason for the operation? How do you multiply by ? NOTE. To divide by 2724, we first reduce both the divisor and dividend to fourths, and then divide. The quotient is whole numbers, and the remainder fourths, which we reduce to whole numbers by dividing by 4. 3. In 49A. 3R. 16p. how many square feet? 4. In 2171466 square feet how many acres? 5. What is the value of 365A. 3R. 17p. at $1.75 per square rod or pole? Ans. $102,439.75. 6. Sold a valuable piece of land, containing 3A. IR. 30p., at $1.25 per square foot; what was received for the land? Ans. 187,171.87,5. 7. In a tract of land 12 miles square, how many square miles ? How many acres? Ans. 92160 acres. 8. In 18A. OR. 16p. how many square feet? Ans. 788436 square feet. 9. Purchased 48A. 3R. 14p. of land for $2.25 per square rod, and sold the same for $3.15 per square rod; what did I gain by my bargain? Ans. $7032.60. CUBIC OR SOLID MEASURE. ART. 94. Cubic or Solid Measure is used in measuring such bodies or things as have length, breadth, and thickness; as timber, stone, &c. NOTE. A pile of wood 8ft. in length, 4ft. in breadth, and 4ft. in height, contains a cord. Also, one ton of timber, as usually surveyed, contains 50% cubic or solid feet. QUESTIONS. How do you divide by 2724? Of what denomination is the remainder? How is the true remainder found? Art. 94. For what is cubic measure used? Recite the table. What are the dimensions of a pile of wood containing 1 cord? How many solid feet does a ton of timber contain, as usually surveyed ? A cube is a solid body with six square and equal sides. If the sides of a cube are 3ft. long, 3ft. wide, and 3ft. thick, as represented in this diagram, it is called a cubic or solid yard. Now, since each side of a cubic yard contains 9 sq. ft. of surface (Art. 93), it is plain, if a block be cut off from one side, one foot thick, it can be divided into 9 solid blocks with sides 1 foot in length, breadth, and thickness, and therefore will contain 9 solid feet; and since the whole block or cube is THREE feet thick, it must contain 3 times 9=27 solid feet; for 3ft. x 3ft. X 3ft. =27 solid feet. Hence, To find the contents of a cubic or solid body, multiply its length, breadth, and thickness together. = MENTAL EXERCISES. yd. ? In 10 cu. 1. In 2 cubic feet how many cubic inches? In 4 cu. ft.? 2. In 3 cubic yards how many cubic feet? 3. In 5 cord feet how many cubic feet? 4. In 2 cords of wood how many cubic feet? 5. How many cords of wood in 64 cord feet? 6. How many tons in 80 cu. ft. of timber? EXERCISES FOR THE SLATE. 1. In 48 cu. yd. and 15 cu. ft. how many cubic inches? OPERATION. 48 yd. 15ft. 341 97 In 6 cords? In 96 c. ft. ? In 160 cu. ft.? 2. In 2265408 cubic inches how many cubic yards? OPERATION. 1728) 2265408 cu. in. 27) 1311 cu. ft. Ans. 48 yd. 15ft. 3. In 45 cords of wood how many cubic inches? 4. In 9953280 cubic inches how many cords of wood? 5. How many cubic feet in a pile of wood 15ft. long, 4ft. wide, and 6ft. high? How many cords? Ans. 3C. 6 cu. ft. 6. How many cubic inches in a block of marble 4ft. long, 34ft: wide, and 2ft. thick ? Ans. 44928. 7. In a room 14ft. long, 12ft. wide, and 8ft. high, how many cubic feet? Ans. 1344. WINE MEASURE. ART. 95. Wine Measure is used in measuring all kinds of liquids, except milk, ale, and beer. This measure is also used by government in collecting duties. NOTE.We have no statute specifying how many gallons a hogshead, tierce, or pipe shall contain. The standard unit of Liquid Measure adopted by the government of the United States is the Winchester* Wine Gallon, which contains 231 cubic inches. The Imperial Gallon now adopted in Great Britain contains 277.274 cubic inches. * Called "Winchester gallon" because the standard measures were kept at Winchester, England. QUESTIONS.- Art. 95. For what is wine measure used? Repeat the table. Does the law specify the number of gallons in a hogshead, tierce, or pipe? How many cubic inches in the standard wine gallon in the United States? In Great Britain ? MENTAL EXERCISES. 1. In 3 pints how many gills? In 5 pints? In 9 pints? In 11 pints? 2. In 4 quarts how many pints? In 6 quarts? In 8 quarts? In 12 quarts? 3. In 5 gallons how many quarts? In 7 gallons? In 10 gallons? 4. In 2 hogsheads how many gallons? In 4 hogsheads? In 6 hogsheads? 5. How many quarts in 8 pints? In 10 pints? In 16 pints? In 20 pints? 6. How many gallons in 12 quarts? In 18 quarts? In 24 quarts? In 32 quarts? 3. Reduce 197 tuns 3hhd. 60gal. 3qt. 1pt. to gills. 4. In 1596604 gills how many tuns? 5. What will 7 hogsheads of wine cost, at 5 cents a pint? Ans. $176.40. 6. What cost 18 tuns 1hhd. 47gal. of oil, at $1.25 per gallon? How do you reduce tuns to gills? Ans. $5807.50. Give the reason of the QUESTIONS. operation. How do you reduce gills to gallons? To hogsheads? To tuns? Give the reason for the operations. |