3. What is the difference between the exact and approximate number of cubic feet in the space occupied by 450 bu.? 4. Name five articles that are sold by stricken, or even measure. Name five articles that are sold by heaped measure. = The space occupied by a heaped bushel is 2747.7 cu. in., or 1.59+ cu. ft. (2747.7 1728 1.59+). Hence an approximate result may be obtained by dividing the given space expressed in cubic feet by 1.6. 5. How many bushels of apples will a box hold that is 6 ft. square and 4 ft. deep? MODEL. (6 × 6 × 4 × 1728) ÷ 2747.7 = 90.56, exact number bushels. (6 × 6 × 4) ÷ 1.6 = 90, approximate number bushels Ans. 6. How many bushels of potatoes will a bin hold that is 12 ft. long, 6 ft. wide, and 8 ft. high? Find the approximate number also. 7. How many bushels of turnips will a wagon box hold that is 11 ft. long, 3 ft. wide, and 21 ft. deep? Find an approximate answer also. 8. Find the number of cubic feet in a bin that will hold 75 bu. of parsnips. MODEL. (2747.7 × 75) ÷ 1728 = 119.25 +, exact number cubic feet. 75 x 1.6 = 120, approximate number cubic feet Ans. 9. Find the exact number of cubic feet of space required to hold 125 bu. onions. Find an approximate answer also. 10. Find the exact number of cubic feet of space that will contain 300 heaped bushels. Find approximate answer also. LESSON 83 A gallon equals about .1336 cu. ft. (231÷1728=.1336+). 1. Find the number of gallons of water contained in a tank 6 ft. long, 4 ft. wide, and 3 ft. deep. MODEL. (6×4× 3 × 1728)÷231=538.6, gallons exact method. (6x4x3)+.1336=538.9+gal., approximate result Ans. 2. How many gallons of water will a cistern 6 ft. square and 8 ft. deep hold? Find the approximate result also. 3. From a rectangular cistern 10 ft. long, 8 ft. wide, and 6 ft. deep, 100 barrels of 311 gal. each were drawn. How many gallons remained in the cistern, if it was full at first? 4. How many hogsheads of water can be contained in a tank 8 ft. by 7 ft. and 9 ft. deep? 5. Find the approximate number of gallons of water in a well 3 ft. in diameter and 30 ft. deep, if the well is full. 6. How many cubic feet of space will be required to contain 425 gallons? MODEL. (231 × 425) ÷ 1728=56.81 cu. ft. by exact method. .1336 × 425=56.78 cu. ft., approximate result Ans. 7. How many cubic feet of space will be required to contain 46 barrels? 8. Find the approximate number of cubic feet in a cistern that will contain 36 hogsheads. To find the approximate number of barrels a cistern will hold, divide the contents (expressed in cubic feet) by 4.21, the number of cubic feet, nearly, in a barrel. 9. How many barrels will a cistern hold that is 10 ft. long, 8 ft. wide, and 12 ft. deep? 10. Find the number of barrels in a cylindrical cistern 8 ft. in diameter and 10 ft. deep. 11. How many barrels of water will be contained in a tank 6 ft. 6 in. square and 8 ft. deep? 12. Find the approximate number of gallons of water in a tank 8 ft. by 6 ft. by 4 ft., if the tank is full. 13. Find the approximate number of cubic feet of space that will be required to contain 500 bu. of corn in the ear. 14. Find the exact number of gallons that a pan 22 in. long, 7 in. wide, and 6 in. deep will hold. REVIEW WORK LESSON 84 1. At 15 a square yard, how much will it cost to sod a piece of ground 821 ft. by 132 ft. ? 2. Find the cost of 36 joists 18 ft. long, 12 in. wide, and 2 in. thick, at $1.30 per hundred feet board measure. 3. Find the cost, at 25¢ a yard, of fencing a rectangular field containing 24 A., if its width is 60 rd. 4. Find the number of posts required for a fence around a piece of ground 875 ft. by 910 ft., if the posts are to be set 7 ft. apart. 5. How wide is Brussels carpet? How wide is ingrain carpet? 6. A quarter-section of land equals how many acres? 7. Find the cost of 41 doz. handkerchiefs at 3.60 a doz. 8. A druggist bought a pound of quinine for $5.12 and sold it at the rate of 30 gr. for 104. How much did he gain? 9. If of of the cost of house and lot is $1700, what is the whole cost? 10. If John can do a piece of work in 5 days, what part of the work can he do in of a day? 11. Mr. Santee covered the floor of his dining room, 20 ft. by 12 ft., with Brussels carpet. How many yards were used, the strips running lengthwise? Find the cost of the carpet at $1.35 per yard. 12. Find the cost of 50 boards 16 ft. long, 18 in. wide, at $1.10 per hundred board feet. 13. From a hogshead containing 63 gallons, 7 gallons leaked out. What per cent was lost? LESSON 85 1. How many square inches of paper will be needed to cover a box in the shape of a cube, if its volume is 27 cu. in.? 2. A school uses 36 pens a week. How many gross of pens will be needed for a term of 40 wk. ? 3. A man sold 26 chickens to a butcher, which was 121% of all he raised. How many chickens had he left? 4. Find the amount of $320 for 3 yr. 6 mo. 18 da., at 5%. 5. A man owning 216 A. of land sold 40% of it to one man and 371% of it to another. How many acres were left? 6. An automobile ran 62.5 miles in one day and 25% farther the next day. How many miles did it run in both days? 7. A merchant purchased 25 bu. 1 pk. 2 qt. of damsons, but 111% of them were unfit for use. bushels were good? How many 8. For what is Troy weight used? Avoirdupois weight? How many grains in an avoirdupois pound? 9. 350 Troy pounds equal how many avoirdupois pounds? 10. What number must be multiplied by 83 to produce GRAD. ARITH. VI. — -8 |