7. How many square chains in 32 square rods? In 64 square rods? In 80 square rods?

8. How many acres in 20 square chains? In 40 square chains? In 80 square chains?

9. How many square yards in a pavement 10 yards long and 4 yards wide?

SOLUTION. - In a pavement 10 yards long and 1 yard wide, there are 10 square yards, and in a pavement 10 yards long and 4 yards wide, there are 4 times 10 square yards, which are 40 square yards. yards in the pavement.

There are 40 square

10. How many square yards in a ceiling 8 yards long and 6 yards wide?

11. How many square feet in a board 16 feet long and 1 feet wide?

12. How many perches in a field 30 rods long and 10 rods wide? How many roods?

13. How many square inches in a piece of tin 15 inches long and 4 inches wide?

14. How many square yards in a floor 15 feet long and 12 feet wide?

WRITTEN EXERCISES.

15. How many square yards in 16 perches?

How many square inches?

16. How many perches in 5 A. 2 R.?

17. Reduce 1 A. 2 R. 20 P. 10 sq. yd. 7

to square feet.

sq.

ft.

18. Reduce 70882 sq. ft. to higher denominations. 19. Reduce 5280 perches to higher denominations.

20. Reduce 5184 square inches to square yards. 21. How many acres in a field 56 rods long and 40 rods wide?

22. How many acres in a street 2 miles long and 4 rods wide?

23. How many square yards in a ceiling 72 feet long and 40 feet wide?

24. What will it cost to pave a walk 60 feet long and 15 feet wide, at $1.25 a square yard?

25. How many peach trees can be planted in an orchard containing 3 acres, if a tree be planted on each square rod?

26. If 1000 shingles will cover 100 square feet, how many shingles will cover a roof 40 feet long and 25 feet wide?

27. How many acres of land in a township 5 miles square?

28. How many acres in a township 7 miles long and 6 miles wide?

29. How many yards of carpeting, a yard wide, will carpet a room 20 feet long and 18 feet wide?

30. How many bricks, 8 in. long and 4 in. wide, will pave a walk 60 feet long and 123 feet wide?

31. What will it cost to plaster the walls and ceiling of a room 15 feet long, 12 feet wide, and 9 feet high, at 50 cents a square yard?

Art. 91. RULE.—To find the area of a rectangle, Multiply the length by the width.

Art. 92. Cubic Measure is used in measuring solids. It is also called Solid Measure. The denominations are cubic inches, cubic feet, and cubic yards.

A cubic inch is a cube whose edges are each one inch long. A cubic yard is a cube whose edges are each one yard long.

NOTE. The teacher should explain and define a cube; also its faces and edges.

Table.

1728 cubic inches (cu. in.) are 1 cubic foot, cu. ft.

NOTE. A cubic yard of earth is called a load, and 24 cubic feet of stone or of masonry make a perch.

WRITTEN EXERCISES.

cubic inches in 5 cubic feet?

1. How many In 12 cubic feet? 32 cubic feet?

2. How many cubic feet in 15552 cubic inches? 3. How many cubic feet in 120 cubic yards? 4. How many cubic yards in 405 cubic feet? 5. Reduce 15 cu. yd. 16 cu. ft. and 1305 cu. in. to cubic inches.

6. Reduce 1473462 cubic inches to higher denominations.

7. How many cubic feet in a block of marble 15 feet long, 12 feet wide, and 5 feet thick?

PROCESS.

15 ft.
12

180 sq. ft.

5

900 cu. ft.

A block 15 feet long and 12 feet wide has 180 sq. ft. in its lower face, and since each foot of thickness gives 180 cubic feet, five feet of thickness will give 5 times 180 cu. ft., which are 900 cu. ft.

8. How many cubic feet in a rock 18 feet long, 13 feet wide, and 8 feet high?

9. How many cubic feet in a pile of wood 24 feet long, 3 feet wide, and 8 feet high?

10. How many cubic yards in a bin 9 feet. long, 6 feet wide, and 4 feet deep?

11. How many cubic feet of earth must be removed to make a cellar 4 feet long, 27 feet wide, and 5 feet deep? How many cubic yards?

12. How many cubic yards of earth must be removed to make a reservoir 120 feet long, 54 feet wide, and 9 feet deep below the surface?

13. What will it cost to dig a cellar 36 feet long, 183 feet wide, and 6 feet deep, at $2.50 a cubic yard?

Art. 93. Wood Measure is used in measuring wood and rough stone.

The denominations are cubic feet, cord feet,

and cords.

NOTES.-1. A pile of wood 8 feet long, 4 feet wide, and 4 feet high, contains 1 cord; and 1 foot in length of such a pile contains one cord foot. (See cut above.)

2. Formerly 40 feet of round timber, or 50 feet of hewn timber, were called a ton, but this distinction is now seldom observed.