14. 13 feet 8 inches by 4. 16. The distance around a square bin is 22 feet 8 inches. What is the length of each of the 4 sides? 17. The distance around an equilateral (equal-sided) triangle is 10 feet 3 inches. What is the length of each of the three equal sides? 18. Louise cut a strip of toweling 3 yards 1 foot long into 3 equal lengths for towels. How long was each towel before it was hemmed? 19. A table measures 1 foot 8 inches each way. I wish to make a checker board of the top. There are 8 squares each way. How long can I make each square? 20. A poultry raiser sold 6 spring chickens weighing 13 pounds 14 ounces. What was the average weight of each chicken? 21. A board 11 feet 8 inches long is sawed into 2 equal lengths. How long is each part, not allowing for waste? 22. A truck farmer puts 8 bushels 1 peck in 3 barrels. What was the average amount put into each barrel? 23. A pail of butter containing 5 pounds 4 ounces was divided equally by two women. How much butter did each receive? 24. The sum of the four sides of a square is 18 feet 4 inches. Find the length of one side. 25. The sum of the three equal sides of a triangle is 16 feet 3 inches. Find the length of one side. 26. Show how problem 25 can be solved by first reducing to inches, then dividing by 3 and reducing the quotient to feet and inches. Exercise 15. Cotton 1. About 3 pecks of cotton seed are required to plant an acre. How many bushels of cotton seed are used in planting 20 acres of cotton? 2. Cotton is drilled in rows and the plants are then thinned Spraying growing cotton to destroy injurious insects out so that they are 12 to 24 inches apart according to the kind of land. How many hills are there in a row a quarter of a mile long when thinned 18 inches apart? 3. There are 11 rows a quarter of a mile long in an acre of cotton when the rows are 3 feet apart. How many hills are there in an acre when thinned 18 inches apart? 4. A laborer picks on the average about 375 pounds of cotton per day. What are his daily wages at 80 cents per hundred pounds? How long will it take him to pick a ton of cotton? 5. Black prairie land yields about 800 pounds of cotton per acre. How many pounds of cotton are obtained from a square rod at that rate? 6. How many tons of cotton can be raised on 20 acres at the rate of 800 pounds per acre? How many 500 pound bales? 7. At $1.25 per hundredweight, how much does it cost to gin the cotton raised on 20 acres yielding 800 pounds an acre? 8. What is the value of the cotton produced on an acre if the yield is 800 pounds and the lint cotton sells for 27 cents per pound? Exercise 16. Oil Applied Problems in Weights and Measures 1. In 1915 the production of petroleum or crude oil totaled 281,104,104 barrels. A barrel of petroleum is equal to 42 gallons. How many gallons were produced that year? 2. In a certain oil region the wells vary in depth from 600 feet to 3300 feet. Espress the depth of these wells in yards. 3. It costs about $5.00 per foot1 to drill an oil well and 50 cents per foot, extra, for the tubing. Find the cost of drilling and tubing a well 1500 feet deep. 4. The number of oil wells per acre varies according to the amount of oil under the territory. At the rate of 2 wells per acre, how many wells could be sunk in a farm 80 rods long and 60 rods wide? 5. The landowner generally receives of the production of the oil as a royalty for his land. How much would his royalty amount to in a year on 5 wells, each flowing at the rate of 1000 barrels per day? 6. A well flowing 1000 barrels per day will, in one day, fill how many car tanks holding 8000 gallons each? 7. Crude petroleum is usually worth about $1.00 per barrel of 42 gallons. Find the cost per gallon of crude petroleum. 8. If the life of an oil well is 2 years and it has an average flow of 3000 gallons per day for that time, how much is the value of the product of such a well at $1.00 per barrel for the crude oil? This cost varies with the depth and structure of the earth at the point where the well is drilled. Exercise 17. Matches Applied Review Problems Matches are less than a century old. Now they are one of the necessaries of life. The quantities used, the amount of timber required and the efficiency of the machines employed in their manufacture are interesting and instructive problems. 1. Counting each match | inch square and 2 inches long, how many matches would a cubic foot of white pine timber produce, not allowing for waste? 2. Mr. Franklin has a pine tree on his farm from A Dipping Machine.1 Photo. Brown Bros., N.Y. which 14 cords of match timber can be cut. Allowing for waste, what number of matches would this tree produce? 3. How many matches will 32 cords of pine timber produce, allowing } for waste? 4. Mr. Warren has a poplar tree which he estimates will produce 2cords of match timber. What number of matches would this equal, counting for waste? 5. How many matches can be produced from 58 cords of poplar timber, counting } for waste? 1"Officially known as the fastest machine in the world. It takes forty minutes to turn out a million matches.”—From the “How and Why" Library. 6. Open the ends and sides of an empty paper match box so that it may be laid out flat, and find the number of square inches of strawboard used in its construction. 7. Find the weight of an empty match box (strawboard), and estimate the number of such boxes that can be produced from a ton of strawboard. 8. If it takes 10 tons of straw to make 7 tons of finished strawboard, how much straw will be required to make 1 ton of strawboard? 9. If baled straw, delivered at a factory, is worth $7.50 per ton, what would the straw in one ton of strawboard cost? 10. A certain machine can make 500 match boxes per minute.? How many match boxes can this machine turn out in an 8-hour day? 11. How many boxes is this per second? 12. How many square feet of strawboard does it require for this number of boxes? 13. Each of these boxes will hold 160 matches. What is the capacity, in matches, of one of these box making machines in an 8-hour day? 14. It is estimated that the "dipping” machine (to put heads on) in a certain factory will hold 1,000,000 matches at one time. If each load is completed in 40 minutes, how many finished matches will this machine produce in an 8-hour day? 1“An endless roll of brown strawboard is fed in a broad sheet to a machine that cuts it into strips wide enough to make the four sides of a sliding box cover, or the bottom and sides of the box. Through one machine after another these strips go. The box cover is given four folds and pasted into a square-sided endless tube. The tube goes through a special printing press that prints the top and bottom and one side, and pastes a strip of sand paper on the fourth side. Then the printed tube is cut into box lengths." —From the “How and Why” Library. |