18. A man has a front lawn 40 ft. wide and 60 ft. long. He wishes to fill it to a depth of 4 in. with soil. How many loads of soil must he order? Find the cost at $1 per load, a price paid at times in cities for putting soil on sandy places. 19. A school garden is 120 ft. by 80 ft. How many loads of earth will raise the whole surface 6 in. ? 20. A street 1200 ft. long and 40 ft. with crushed stone to a depth of 4 in. stone at $1.25 per cubic yard. wide is to be covered Find the cost of the 21. A cubic foot of water weighs 62.5 lb. of water in a tank 90 in. long and 64 in. water is 52 in. deep. Find the weight wide when the 22. Cast-iron weighs 450 lb. per cubic foot. Find the weight of a casting that contains 1260 cu. in. 23. I bought a square lot of land 300 ft. long. I laid out a 40-ft. street through the middle of it in each direction What was the area of each of the four lots that remained? 24. If you cut a 6-in. square out of each corner of a square yard, what part of the latter remains? 25. What will a sheet of zinc 8 ft. long and 32 in. wide cost at 7 a pound, if every square foot weighs 8 oz. ? 26. At 75 a yard, what will it cost to put a picket fence halfway around a corner lot measuring 72 ft. by 150 ft.? How 3. Firewood usually is cut in 4-foot lengths. many cords of firewood in a rick 4 ft. high and 24 ft. long? 4. How many cords of 4-ft. wood in a rick 12 ft. high and 16 ft. long? 5. How many cords of 4-ft. wood in a rick 6 ft. high and 32 ft. long? 6. How much will a pile of wood 10 ft. by 6 ft. by 8 ft. cost at $8 a cord? 7. 4-ft. wood is usually cut into 16 in. lengths for use in stoves. This is called stove wood. How many stove lengths can be cut from a stick of wood 4 ft. long? 8. A rick of stove wood 8 ft. long and 4 ft. high is called a cord of stove wood. How many cords of stove wood can be cut from a cord of 4-ft. wood? 9. How many cords of stove wood in a rick 16 ft. long, 8 ft. wide, and 6 ft. high? 10. A dealer buys 4-ft. wood at $6 a cord, and has it sawed into stove wood. He then sells the stove wood at $2.75 a cord. How much profit does he make on a cord of 4-ft. wood? 7. MEASUREMENT OF LUMBER The unit of measure for boards, planks, joists, timber, etc., is generally the board foot. A board foot is 1 ft. long, 1 ft. wide, and 1 inch thick. In studying Section 4 we have learned to find the number of square feet in one face of a board. This number will also represent the number of board feet in a board 1 in. thick. NOTE. Lumber less than 1 in. thick is counted as if it were an inch thick. If the lumber is more than an inch thick, the thickness is taken into account. 1. Compare the dimensions and contents of A and B in the illustration. 2. Find the area of the face of C. The number of board feet in C. 3. How many 1-inch boards are equal to D? Show that D contains 27 board feet. 4. Make a statement of the method of finding the contents of a plank in board feet. NOTE. Without much regard to correctness of language, a lumberman would answer the last question by saying, "Multiply width and thickness in inches and length in feet together, and divide the result by 12." Show where the language here is not correct. He would also speak of a board foot simply as a "foot." 5. How many board feet make a cubic foot? 6. How many board feet in a board 1 ft. wide, 10 ft. long, and 1 in. thick? 7. How many board feet in a board 2 ft. wide, 8 ft. long, and 1 in. thick? 8. Find the number of board feet in a board 4 in. wide, 16 ft. long, and 1 in. thick. 9. Find the number of board feet in a board 2 in. thick, 1 ft. wide, and 14 ft. long. It is equivalent to how many boards 1 in. thick, of this width and length? Find the contents in board feet of: 10. A board 12 in. wide, 8 ft. long, and 2 in. thick. 11. A board 8 in. wide, 6 ft. long, and 3 in. thick. in. thick, 6 in. wide, and 10 ft. long. 12. A board 13. A board 2 in. thick, 8 in. wide, and 12 ft. long. 14. A joist 15 ft. long, 4 in. wide, and 3 in. thick. (A 3" x 4" joist.) 15. A joist 20 ft. long, 5 in. wide, and 4 in. thick. 16. A joist 18 ft. long and 5 in. square. 17. A man measured a stack of lumber and found that it contained 1000 boards, each 1 in. thick, 6 in. wide, and 16 ft. long. How many board feet in the stack? 18. A boy undertook to make a mission table for a Christmas present to his mother. The top was 3 ft. by 21 ft., and 11 in. thick. The legs were 27 in. long and 3 in. square. The four pieces mortised into the legs, to which the top was fastened, were each 1 in. thick and 5 in. wide, two of them 28 in. long and two 22 in. long. How many feet of lumber did it take in all? How much did it cost him at 12 per board foot? 19. Find the cost of 2500 board feet of flooring at $35 per thousand board feet. Lumber is sold in quantities for so much per thousand (M) Find how much must be paid for: 20. 3000 ft. of spruce at $16 per M. 21. 2 M white pine at $17. 22. 4500 ft. of hard pine at $42 per M. 26. The diagram represents a barn. the rectangular part of the end? 27. What is the area of the gable, or triangular part? 28. How many feet of 1-inch lumber will it take to cover the end? How much will it cost at $20 per M? 29. If the barn is 36 ft. long, What is the area of what is the area of each side? Of both sides? 16 30. How many feet of 1-in. lumber will it take to side the barn? How much will it cost at $20 per M? 31. For upright posts in the barn 16 joists are required, each 18 ft. long and 6 in. square. How much will they cost at $25 per M? 32. Also 40 other joists, 14 ft. long, 3 in. thick, and 4 in. wide, are required. How much will they cost at $25 per M? 33. 36 rafters, each 2 in. by 6 in. by 16 ft., are required. Find their cost at $25 per M. 34. A driveway in the barn 12 ft. wide and 24 ft. long is floored with boards 2 in. thick. Find their cost at $30 per M. 35. Find the cost of a board walk 4 ft. wide and 25 ft. long. The cross boards are nailed to three 3" x 4" stringers and are 2" thick. The lumber costs $28 per M. |