Cubic Measure. Table. 1728 Cubic Inches (cu. in.) 1 Cubic Foot (cu. ft.). = = 1 Cubic Yard (cu. yd.). Scale: 1728, 16, 8, and 1728, 27. Reduce: EXERCISES. 1. 15 cu. yd. 18 cu. ft. 16 cu. in. to cu. inches. 2. 730,960 cu. in. to cu. yd., etc. 3. 32 cu. ft. 114 cu. in. to cu. inches. 4. 174,964 cd. ft. to cords. 5. 7680 cu. ft. to cords. 9. 78,976 cd. ft. to cords. 10. 8797 cu. ft. to cords. 11. 466 cd. 124 cu. ft. to cu. ft. 12. 1216 cu. ft. to cords. 13. 19,528 cd. ft. to cords. 14. 988 cu. ft. to cu. yd. 15. cd. to units of lower denominations. FORMULE. length x breadth x height (thickness). } = volume = length × breadth. UNITS. The cubic foot for bricklaying, masonry, and hewn timber. The perch of stone, 16 ft. long, 1 ft. wide, and 1 ft. high, equal to 243 cu. ft. It is customary, however, to call 25 cu. ft. a perch. Brick. The size of a common brick is 8 x 4 x 2 in., and for ordinary calculation it is sufficiently accurate to reckon 27 bricks to the cubic foot, laid dry, or 22 laid in mortar. Brickwork is generally estimated by the thousand bricks. In estimating material, allowance is made for openings in walls, as doors, windows, etc. In estimating labor, the length of each wall is measured on the outside, and thus each corner is measured twice 1. A block of marble 9 ft. long, 5 ft. wide, 3 ft. thick. 2. A cube whose edge measures 2 ft. 9 in. 3. A pile of wood 36 ft. long, 6 ft. high, 4 ft. wide. Suggestion: 36XX 4. Cancel. 128 4. The contents of a box measuring 18 in. by 16 in. by 14 in. 5. A cube 1 in. long, 1 in. wide, 1 in. high. 6. The earth in a cellar 36 ft. X 24 ft. X 5 ft. 7. Excavation for a reservoir 80 ft. by 60 ft. by 10 ft. 8. Excavation for a cistern measuring 15 ft. by 14 ft. by 13 ft. 9. A cube whose sides are each 6 in. 10. A brick measuring 8 × 4 × 2 in. square. 2. Why are there 16 cu. ft. in a cord-foot of wood? 3. Find the perches of masonry in a wall 38 ft. by 4 ft. by 1 ft. 38 × 4 × 11 Suggestion: Cancel. 24 4. Reduce 16 p. 141⁄2 cu. ft. to cu. ft. 5. A cube whose edge is 9 yds. equals in volume how many cubes whose edge is one foot? 6. How many blocks of one cubic inch can be sawed from a cube of 7 ft., if there is no waste in sawing? 7. How many cords in a pile of wood measuring 72 ft. by 13 ft. by 9 ft.? 8. Find the cost of digging a cellar 50 ft. long, 40 ft. wide, 5 ft. deep, at $11 per cubic yard? 9. How many cubic feet in two-thirds of a cubic yard? 10. How many cd. ft. in 5 cords of wood? 11. How many cu. yd. of air in a room 24 ft. by 18 ft. by 12 ft.? 12. Find the number of loads of ashes in a rectangular pit measuring 12 ft. by 4 ft. by 2 ft. 6 in.? 13. Find the cost of building a stone wall 55 rds. long, 41 ft. high, and 1 yd. thick, at $7.25 a perch? 14. How many bricks would make the bulk of 9 loads? 15. How many perches of masonry in a wall 6 ft. high, 2 ft. thick, inclosing a plot of ground 40 rds. square? 16. How many bricks, laid in mortar, will build a house. 57 ft. long, 45 ft. wide, and 30 ft. high, the wall to be 11⁄2 ft. thick; deducting for 15 windows, 81 by 31 ft., and 8 doors, 73 by 31 ft. wide? 17. What will it cost to dig a cellar 35 ft. long, 22 ft. wide, and 6 ft. deep, at $.25 for the removal of a cubic foot of earth? 18. A pile of wood containing 193 cd. is 66 ft. long and 6 ft. wide. Find its height? 19. Prescribing 18 in. for the height and 6 ft. for the length of a wagon body, how wide must it be made to hold a load? 20. Find the length of a wall, 1 ft. thick and 4 ft. high, that 1000 bricks, laid in mortar, will build. 21. A river 30 ft. deep and 20 yd. wide flows 4 mi. an hour. How many cu. ft. of water pass a given point in a minute? Board Measure. 1. Boards whose thickness is one inch or less are measured by the square foot. A board 12 ft. long, 1 ft. wide, 1 in. thick = 12 ft. board measure. sq. 2. All hewn or squared lumber is estimated and sold by board measure, thickness beyond one inch becoming a factor. EXERCISE. How many feet, board measure, are there in a timber 40 ft. long, 9 in. wide, and 6 in. thick? Process. 9 in. = 180 ft. board measure. Explanation. = 12 ft. Since 40 × 12 the number of board feet when the thickness is one inch, 6 times that, or 40 X 1/2 × 1: the number of board feet when the thickness is 6 in. By cancelling we have 180 ft. FORMULA. Number of feet board measure = length (feet) x width (feet) thickness (inches). NOTE. When the board tapers uniformly, use the mean width, i.e., half the sum of the two end widths. PROBLEMS. 1. Find the number of board feet in the following pieces 2. Find the number of feet in a joist 20 ft. long, 8 in. wide, and 4 in. thick. 3. A man has 70 planks measuring 16 ft. by 8 in. and 13 in. thick. How many feet, board measure, has he? 4. Find the width of a 2-in. plank 16 ft. long that contains 50 ft., board measure. 5. Find the contents of a board 18 ft. long, 1 ft. 8 in. wide at one end and 14 in. at the other. 6. Find the cost of 38 boards 16 ft. long, 12 in. wide, at $2 per C. 7. Find the cost of the following, at $20 per M.: 160 boards 16 ft. by 11 in. 170 boards 15 ft. by 10 in. 70 scantling 12 ft. by 4 X 2 in. 50 rafters 25 ft. by 5 × 3 in. 8. How many feet, board measure, are there in a plank 17 ft. long, 22 in. wide at one end, 13 in. wide at the other, and 3 in. thick? 9. Find the cost of 72 boards, each 11 ft. long, 16 in. wide, and in. thick, at $16.50 per M. 10. In a tapering board, 11 ft. long, 18 in. wide at one end, 11 inches wide at the other, and in. thick, how many feet? 11. A room is 20 by 25 ft. What will be the cost of floor |