PROBLEMS.

1. How many inches in 3 feet? In 7 ft.? In 12 ft.?

2. How many feet in 24 inches? In 36 inches? 3. How many rods in 2 furlongs? In 5 fur.? In 3 fur. In 2 miles? In 4 miles?

4. How many rods in 33 feet? In 66 feet? In 11 yards? In 22 yards? In 33 yards?

5. A cannon threw a ball 8000 yards; how many miles was that?

6. How many inches in 3 yards and 1 foot?

7. At 30 cents a foot, what will 13 yards 2 feet of wire railing cost? At 70 cents? At 40 cents?

LESSON XXXIV.

26. Cloth Measure is used by merchants in the sale of cloth, ribbons, laces, etc.

NOTE. The old table of cloth measure is no longer used. By it

the quarter is divided into 4 nails, each nail being 24 inches in length. Ells are not used in the United States.

PROBLEMS.

1. How many inches in 3 quarters? In 4 8ths? In 3 yards?

2. How many eighths in 5 quarters? In 3 yards? In 4 quarters?

3. How many quarters in 5 yards? In 6 yards? In 3 yards?

4. How many eighths in 12 16ths? In 16 quarters? In 5 gr.?

5. What will 3 sixteenths of cloth cost at 36 cents a qr.?

6. What is the cost of 3 eighths of ribbon at 40 At 16 cents? At 8 cents a yard? At 60 cents?

cents?

7. How many quarters in 2 yd. 2 qr.? In 3 yd. 2 qr. 3 8ths? In 5 yd.?

8. At 5 cents a quarter, what will 3 yd. 2 qr. braid cost? At 9 cents? At 11 cents?

of

LESSON XXXV.

27. Square Measure is used to calculate areas, as of land, lumber, painting, paving, &c.

(a.) A square is a figure having four equal sides and four right angles or corners;

square foot is a square 1 foot in length and 1 foot in breadth, thus:

1 ft.

1 sq. ft.

FORM.-Since in one row there are 3 square feet, in 3 rows there are 3 times square feet, which are 9 square feet; hence in 1 8q. yd. there are 9 sq. ft.

(a) TABLE.

144 square inches (sq. in.) make 1 square foot, sq.

9 sq. ft.

ft.

66

1 square yard, sq. yd.

1. How many square feet in 5 square yards? In 7 square yards? In 11 sq. yd.? In 15 sq. yards?

* A rood then is a quarter of an acre.

77

1 yard=3 feet.

78

INTELLECTUAL ARITHMETIC.

2. How many square yards in 36 sq. feet? In 108 sq. ft.? In 162 sq. ft.?

3. How many rods in 3 roods? In 2 quarters of an acre? In 3 quarters of an acre? In 8 acres?

In 2 acres

4. How many acres in 320 sq. rods? In 80 sq. rods? In 11 roods? In 800 rds.?

5. If one acre or 4 roods of land cost $28, what will 1 rood cost? 2 roods? 17 roods? 3 roods?

LESSON XXXVI.

28. Cubic Measure is used in estimating the contents of solids; as wood, stone, the capacity of cisterns, &c.

(a). A cube is a solid, having six equal square sides. Thus, a cubic foot is a body 1 foot in length, 1 foot in breadth, and 1 foot in thickness.

TABLE.

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

27 66 feet

1 cubic yard, cu. yd.

(b.) ANAL. STEPS.-1. Find the number of rows of cu. ft. in 1 cu. yd.

FORM.-Since there are 3 rows of cubic feet in 1 tier of feet, in 3 tiers there are 3 times 3 rows, which are 9 rows.

2. Find the number of cubic feet in 1 cu. yard.

FORM.-Since in 1 row there are 3 cubic feet, in 9 rows there are 9 times 3 cubic feet, which are 27 cubic feet.

CONCL.-Therefore, in one cubic yard there are 27 cubic feet. Hence to find the solid contents of a body we have the following

(c.) Rule.-Multiply the LENGTH by the BREADTH, and that product by the THICKNESS.

(d) A pile of wood 4 feet wide, and 4 feet high