The diagram represents a square yard, each side of which is 1 yd. or 3 ft. long, and the whole is divided into square feet, 1 sq. ft. being the unit of measure. In one row there are 3 sq. ft., in 3 rows there are 3 times 3 sq. ft., or 9 sq. ft. surface or area of 1 sq. yd. is 9 sq. ft. Hence the 8. Have pupils draw a square, 1 foot on a side, and divide it into square inches. 9. Practice drawing squares until the units are well in mind. 10. What is the unit of 6 sq. ft. ? Of 6 sq. yd. ? 11. How many square feet in the surface of a table 3 ft. wide and 4 ft. long? Illustrate by diagram. 12. How many square inches in a strip of board 12 in. long and 9 in. wide? 13. How many square feet in the floor of a hall 20 ft. long and 6 ft. wide? 10 ft. long and 5 ft. wide? 14. How do you find the surface or area of a square or rectangular figure? Ans. By taking the product of the numbers denoting its two dimensions. 79. 1. A section of land is a square mile, subdivided as follows: 3. A man owns one half of the N. W. quarter-section. How much land has he? 4. What part of a section is 80 A. ? 160 A.? 320 A.? E 5. What is the length of one side of a section of land? How many miles around it? How many miles around a halfsection? A quarter-section? 6. How many square feet in a blackboard 12 ft. long and 3 ft. wide? How many square yards? 7. Which is greater, 10 sq. in. or a 10 inch square? What is the difference? Draw diagram. 8. How many squares, each equal to a square inch, are equal to a surface 1 ft. long and 9 in. wide? Pupils should prepare on their slates, filling out the blanks, The teacher should dictate, and the pupils express solutions on slate or paper, thus: TEACHER.-How much surface in a board 8 ft. long and 3 ft. wide? PUPIL writes: 8x3 square feet in the blackboard. TEACHER-Find the surface in a pane of glass 12 inches by 9 inches. PUPIL-12x9= square inches in pane of glass. A few minutes spent in this kind of drill will practically fix surface measures in mind.* 80. 1. A solid or body has three dimensions-length, breadth, and thickness. 2. Cubic or solid measure is used in measuring solids. TABLE. 1728 Cubic Inches (cu. in.) = 1 Cubic Foot, . 3. A rectangular solid is a body bound = 1 Cubic Yard, ed by six rectangular plane faces. Cube. The opposite sides are equal and parallel. 4. A cube is a rectangular body whose faces are all equal. 5. The units of cubic meas ure are cubes. 6. In 10 cubic inches, what is the unit of measure? Ans. A cube, the edge of which is 1 inch, or a cubic inch. *If pupils are supplied with rulers showing inches, they should measure and compute from their own data, in feet or inches, not taking note of the small parts, but using the nearest whole inch. See "Suggestions," page vi, 16 and 17. 1 inch. 7. What is the unit of 4 cu. in.? Of 27 cu. ft.? yards? 8 How many cubic inches in 1 cu. ft. 20 cu. in.? 9. How many cubic feet in 2 cubic yards? Of 9 cu. 10. What part of a cubic yard is 9 cu. ft.? 18 cu. ft.? 11. How many cubic feet in a piece of timber 1 foot square at the ends and 3 feet long? In 2 such pieces ? 12. A cubic yard is a cube each face of which is 1 sq. yd., and each edge 1 yd.. or 3 ft., long. 13. How many cubic feet in a block of marble 1 ft. thick, 3 ft. wide, and 6 ft. long? 2 ft. wide, 2 ft. thick, and 4 ft. long? 14. How many cubic inches in a cubic block whose edges are 3 inches long? Are 4 inches long? 15. How do we find the solidity, or contents, of a cube, or of a rectangular body? Ans. By taking the product of the numbers denoting the three dimensions. 16. What is the difference in a foot long and a foot square? In a square foot and a cubic foot? 17. How many inches long is a block in the form of a cubic foot? How many wide? In a pile 6 ft. long, 5 ft. wide, and 3 ft. high? 21. If a stove burn 1 cord foot of wood in a week, in what time will it burn 1 cord? 2 cords? 22. How many cord feet in 2 Cd.? 23. How many cords in 24 cd. ft.? 3 cords? In 3 Cd.? In 5 Cd. ? 24. What part of a cord is a cord foot? 4 cd. ft.? Let the pupils prepare on their slates, filling out the blanks: |