A Cube is a figure having six equal square sides or faces. A Cubic Foot is a cube one foot long, one foot wide, and one foot high. A Cubic Yard is a cube one yard long, one yard wide, and one yard high. A cubic yard contains three cubic feet in the length and three in the breadth; therefore, the number of cubic feet in the base equals 3X3= 9; but, as its thickness is three feet, therefore, the contents of the whole. are 3 × 9 = 27 cubic feet. Hence, = 3 feet. 3 feet. 72. TO FIND THE CONTENTS OF ANY RECTANGULAR SOLID.Multiply together the length, breadth, and thickness. TABLE. marked cu. ft. 66 1 cubic yard, 1728 cubic inches (cu. in.) make 1 cubic foot, 27 cubic feet NOTE.-A cord of wood is a pile 4 ft. wide, 4 ft. high, and 8 ft. long; it contains 128 cubic feet. One foot of the length of such a pile is a cord foot, and contains 16 cubic feet. EXAMPLES. 1. How many cubic yards in a trench containing 1387 cubic feet? 51 cu. yd. 10 cu. ft. 2. Reduce 13 cu. yd. 18 cu. ft. to cubic feet. 369 cu. ft. 3. How many cubic yards in a mound containing 1080000 cubic inches? 23 cu. yd. 4 cu. ft. 4. Reduce 1042 cu. ft. to cubic inches. 1800576 cu. in. 5. How many cubic feet in a bin containing 1428000 cubic inches? 826 cu. ft. 672 cu. in. 6. How many cubic feet of air in a room 20 ft. long, 14 ft. wide, and 10 ft. high? 2800 cu. ft. 7. How many cubic yards of earth must be removed to make a store cellar 42 feet long, 18 feet wide, and 6 feet deep? 168 cu. yd. 8. How many cords of wood in a pile 900 ft. long, 12 ft. high, and 4 ft. wide? 9. How many cubic inches in a block long, 2 ft. wide, and 1 ft. 6 in. thick? 337 C. 64 cu. ft. of marble 3 ft. 15552 cu. in. 10. How many cubic feet in a reservoir 30 yd. long, 24 yd. wide and 10 ft. deep? 64800 cu. ft. 11. How many cubic inches in a box 3 ft. long, 1 ft. 4 in. high, and 1 ft. 3 in. wide? 8640 cu. in. 12. How many cords of wood in a pile 40 ft. long, 30 ft. wide, and 16 ft. high? 150 C. 13. How many cubic yards in a hall 90 ft. long, 42 ft. wide, and 30 ft. high? 4200 cu. yd. 14. How many cubes one inch long, one inch wide, and one inch deep, can be packed in a box 3 ft. long, 18 in. wide, and 15 in. high? 9720. 15. How many cubic yards in a ditch 150 ft. long, 3 ft. deep, and 16 in. wide? 22 cu. yd. 6 cu. ft. 16. If the earth from a cellar 40 feet long, 30 feet wide, and 6 ft. deep is spread over a space 30 yards long by 20 yards wide, how thick will it be? 1 ft. 4 in. 17. How many dozen boxes, each 4 in. long, 3 in. wide, and 2 in. high, can be packed in a case measuring inside 4 ft. long. 3 ft. wide, and 2 ft. 6 in. high? 180 doz. 73. Liquid Measure is used for measuring all liquids. NOTE.-The standard unit of Liquid Measure is the gallon, which contains 231 cubic inches. MENTAL EXERCISES, In 8 pt.? In 7 pt.? In 28 gi.? In 36 gi.? In 9 qt.? 1. How many gills in 4 pints? 4. How many quarts in 14 pints? In 20 pt.? In 18 pt.? 5. How many quarts in 10 gallons? In 8 gal.? In 12 gal.? 6. How many quarts in half a gallon? 7. How many gills in half a pint? Elem. 8. EXAMPLES. 1. Reduce 14 gal. 1 qt. 1 pt. 3 gi. to gills. 2. Reduce 23460 gi. to gallons. 3. Reduce 742 gal. 1 qt. to pints. 4. Reduce 12604 qt. to gallons. 7. Reduce 612 gal. 3 qt. 1 gi. to gills. 463 gi. 3259 gal. 1 pt. 2500 gi. 50011 gal. 2 qt. 1 pt. 9. Reduce 78 gal. 1 pt. to gills. 10. Reduce 1600372 gi. to gallons. 11. What is the cost of 81 gal. 1 qt. of wine at $1.625 a quart? $528.125 12. What is the cost of 43 gal. 1 gi. of vinegar at 1 cent a gill? $13.77 13. What is the cost of 13 casks of molasses, each containing 63 gal., at 45 cents a gallon? $368.55 14. What is the cost of 6 tierces of wine, each contain ing 42 gal., at 50 cents a quart? $504. 15. How many gallons in 5313 cubic inches? 16. How many pints in 1 cu. ft. 813 cu. in.? 17. How many gallons in a rectangular tank 11 ft. long, 7 ft. wide, and 6 ft. high? 23. 88. 3456. 18. A grocer bought a barrel of molasses containing 42 gal. 2 qt. for 36 cents a gallon, and retailed it at 12 cents a quart: how much did he gain? $5.10 19. A tank contained 656 gal. 2 qt. of oil; what was it worth, at 19 cents a quart? $498.94 20. How many gallons of water in a cistern 10 ft. long, 10 ft. wide, and 10 ft. deep? 21. How many cu. in. in 231 gallons? 22. Reduce 5 gal. 5 pt. to gills. 7480120 gal. 53361 cu. in. 180 gi. NOTES.-1. The exact length of the SOLAR year is 365 days, 5 hours, 48 minutes, 46 seconds; but it is usually considered to be 365 days 6 hours, or 365 days. This day amounts in 4 years to one whole day; therefore, every fourth year, or every year divisible by 4, consists of 366 days, and is called a bissextile or leap year. The additional day is added to the month of February, which has 28 days in ordinary years, and 29 days in leap years. 2. For further accuracy, it is determined that of the even centuries, only those which are divisible by 400 are considered leap years |