REVIEW WORK LESSON 127 1. How many board feet are there in a board 20 ft. long, 12 in. wide, and 2 in. thick? 2. How many acres are there in a triangular piece of land whose base is 320 yd. and whose altitude is 242 yd.? 3. Find the value, at $50 an acre, of a triangular field whose base is 16.5 ch. and whose altitude is 14.4 ch. 4. How much is a pile of wood worth at $4 a cord, if the pile is 16 ft. long, 8 ft. wide, and 4 ft. high? 5. When the length, breadth, and depth of a rectangu lar solid are given, how do you find its volume? 6. Give the rule for finding the area of a triangle. 7. Find the cost of 33 ft. of wire fencing at $1.20 a rod. 8. 331% of 2 sq. yd. equals how many square feet? 9. 3 sq. yd. is what part of 3 yd. sq.? 3 9 5 10. Change to decimals and add: 16, 20, 30, §, 3. 11. Find the sum of 6.009, .061, .37, 63. 12. A single roll of wall paper is 24 ft. long and 18 in. wide. How many square yards does it contain? 13. A double roll of wall paper is 48 ft. long, and 18 in. wide. How many square feet does it contain? 14. How many double rolls of paper will be needed for a ceiling 18 ft. by 20 ft.? 15. How many strips of ingrain carpet (1 yd. wide) will it take to cover a floor 22 ft. long by 18 ft..wide, if the carpet is laid crosswise? How many yards will be needed? 16. If 21 cans of tomatoes cost $2.52, how much will 7 cans cost? GRAD. ARITH. V. — 10 145 LESSON 128 1. What is the unit in Liquid Measure? How many cubic inches in a gallon? 2. Allowing 72 gallons to equal one cubic foot, what is the capacity of a 10 gallon keg? 3. If lb. of tea costs $, how many pounds can be bought for $15? 4. A cubic foot of pure water weighs 621 lb. Find the weight of the water that will fill a tin box 2 ft. long, 18 in. wide, and 8 in. deep. 5. What part of an acre is a lot 8 rd. long and 4 rd. wide? 6. If of the quantity of onions costs $6%, what is the price of the whole quantity? 7. 25% of a pound = how many ounces? 50% of a rod how many feet? 66% of a square foot = how many square inches? 8. If a man loses 371% of his money, what % of his money has he left? How many eighths of his money has he left? 9. Draw a rectangle 4 in. long and 2 in. wide, and show 75% of it. 10. Which will hold the more, 4 cubical boxes with 5-inch edges, or 5 cubical boxes with 4-inch edges? 11. Find the perimeter of a rhombus whose edge is 5 ft. 6 in. 12. What is the area of a circle whose radius is 10 ft.? 13. If I buy lemons at 16 a dozen, and sell them at the rate of 3 for 54, how much is my profit on 150 lemons? LESSON 129 1. How many gills are there in 8 gal. 2 qt. 1 pt. 2 gi.? 2. What is the value of a pile of wood 96 ft. long, 4 ft. wide, and 6 ft. high, at $33 a cord? 3. If 56 men can do a piece of work in 21 days, how long will it take 28 men to do it? 4. A butcher bought a number of sheep for $1040, and sold them for $1430. If he gained $1.50 on each sheep, how many did he buy? 5. Divide 87631 by 22. 6. If 51 tons of coal cost $32, how much will 3.663 tons cost? 7. How many board feet are there in a board 18.25 ft. long, 2.8 ft. wide, and 1 in. thick? 8. Divide 94.5 by .126. Multiply .039 by .0009. 9. I bought a quantity of grain for $500, and sold it at a loss of 5%. How much did I receive for it? 10. A farmer sold of his potatoes at one time, and at another, and had 48 bu. left. How many bushels had he at first? 11. If .75 of a ton of straw is worth $13.50, how much are 8.25 tons worth? 12. Find the perimeter of a rectangle 8 ft. long and 6 in. wide. Find the area. 13. What is the least common multiple of 7 and 6? 14. Name three numbers of which 7 is the greatest common divisor. TABLES LONG MEASURE Long Measure is used in measuring lines or estimating distances. The unit of long measure is the yard. Surveyors' Linear Measure is used by surveyors and engineers in measuring distances, as roads, dimensions of land, etc. The unit is the chain. Square Measure is used in measuring surfaces, as land, paving, plastering, boards, etc. TABLE 144 square inches (sq. in.) = 1 square foot (sq. ft.) CUBIC, OR SOLID MEASURE Cubic, or Solid Measure is used in measuring the contents of solids or bodies; as wood, stone, etc. TABLE 1728 cubic inches (cu. in.) = 1 cubic foot (cu. ft.) Liquid Measure is used in measuring nearly all kinds of liquids. The standard unit of liquid measure is the gallon, which contains 231 cubic inches. A pint of water weighs about one pound. A cubic foot of distilled water weighs about 1000 ounces, avoirdupois weight. Dry Measure is used in measuring grain, fruit, lime, etc. The standard unit of dry measure is the bushel. It con |