The denominations are, foot, inch, second, third, 4. Four floors in a certain building contain each 1084 feet, 9in. 8"; how many feet are there in all? Ans. 4339ft. 2in. 8". 5. There are six mahogany boards, the first measures 27ft. 3in. the second, 25ft. 11in. the third, 23ft. 10in. the fourth, 20ft. 9in. the fifth, 20ft. 6in. and the sixth, 18ft. 5in.; how many feet do they contain? Ans. 136ft. Sin. SUBTRACTION OF DUODECIMALS. 4. If 19ft. 10in. be cut from a board which contains 41ft. 7in. how much will be left? Ans. 21ft. 9in. 5. Bought a raft of boards containing 59621ft. 8in. of which are since sold three parcels, each 14905ft. 5in. how many feet remain? Ans. 14905ft. 5in. MULTIPLICATION OF DUODECIMALS. CASE 1. When the feet of the multiplier do not exceed 12. RULE. Set the feet of the multiplier under the lowest denomination of the multiplicand, as in the following example; then multiply as in Compound Multiplication by each denomination of the multiplier separately, observing to place the right hand figure, or number, of each product, under that denomination of the multiplier by which it is produced. Note 1.-If there are no feet in the multiplier, supply their place with a cipher; and in like manner supply the place of any other denomination between the highest and lowest. 2. Feet multiplied by feet, give feet. Feet multiplied by inches, give inches. Feet multiplied by seconds, give seconds. Inches multiplied by inches, give seconds. Inches multiplied by seconds, give thirds. Seconds multiplied by seconds, give fourths. * * It may be remarked that though the feet obtained by this rule are square feet, the inches are not square inches, but twelfth parts of a square foot. Multiply by the feet of the multiplier as in Compound Multiplication, and take parts for the inches, &c. EXAMPLES. 1. Multiply 112ft. 3in. 5" by 42ft. 4in. 6′′. Ft. I. " 1 APPLICATION. Result 1518 10 10 23545 0 0 5777 9 2 2 1. A certain board is 28ft. 10in. 6" long, and 3ft. 2in. 4" wide; how many square feet does it contain? Ans. 92ft. 2in. 10" 6". 2. If a board be 23ft. 3in. long, and 3ft. 6in. wide, how many square feet does it contain? Ans. 81ft. 4in. 6". 3. A certain partition is 82ft. 6in. by 13ft. 3in. how many square feet does it contain? Ars. 1093ft. lin. 6". 4. If a floor be 79ft. Sin. by 38ft. 11in. how many square feet are therein? Ans. 3100ft. 4in. 4". Note.-Divide the square feet by 9, and the quotient will be square yards. 5. If a ceiling be 59ft. 9in. long, and 24ft. 6in. broad, how many square yards does it contain? Ans. 162yd. 5ft. + 6. What will the plaistering of a ceiling come to, at 10d. per yard, supposing the length 21ft. Sin. and the breadth 14ft. 10in.? Ans. 1L. 9s. 9d. 7. What will the paving of a court-yard come to, at 44d. per yard, the length being 58 feet 6 inches, and the breadth 54 feet 9 inches? 8. Suppose the dimensions of a inches, 3 feet 3 inches, and 1 foot the solid content? Ans. 7L. Os. 10d. bale to be 7 feet 6 10 inches; what is Ans. 44ft. 8in. 3". 9. What is the freight of a bale containing 65 feet 9 inches, at 15 dollars per ton of 40 feet? Ans. 24dols. 65 cts. 10. A merchant imports from London 6 bales of the following dimensions, viz. Length. Height. Ft. I. Depth. What are the solid contents, and how much will the freight amount to at 20 dollars per ton? The contents are, viz. PROMISCUOUS QUESTIONS. 1. A merchant had 1000 dollars in bank; he drew out at one time $237.50, at another time $116.09, and at another $241.06; after which he deposited at one time 1500 dollars, and at another time $750.50; how much had he in bank after making the last deposite? Ans. 2655.84). 2. Sold 8 bales of linen, 4 of which contained 9 pieces each, and in each piece was 35 yards; the other 4 bales contained 12 pieces each, and in each piece was 27 yards: how many pieces and how many yards were in all? Ans. 84 pieces, 2556 yards. 3. A was born when B was 21 years of age, how old will A be when B is 47; and what will be the age of B when A is 60? SA will be 26 when B is 47. Ans. {B will be 31 when A is 60. 4. If 79L. 4s. 10d. be divided among 4 men, women, and 9 boys, so as that each man shall receive twice as much as a woman, and cach woman twice as much as a boy, what will be the share of each. Each boy must have 21. 25. 10d. Ans. Each woman Each man 6 4L. 5s. 8d. 8L. 11s. 4d. Ans. 73. 5. How many bushels of wheat, at $1.12 per bushel, can I have for $81.76? 6. What will 27cwt. of iron come to, at $4.56 per Ans. $123.12. cwt.? |