1. Extension has one or more of the dimensions, length, breadth, and thickness.

2. It may be a line, a surface, or a solid.

3. A Line has only one dimension-length.

4. Linear Measure, called also Long Measure, is used in measuring lines, or distances.

5. In measuring roads, and boundaries of land,

1 Mi. =

5280 ft.

rd.

1760 yd.

mi.

320 rd.

LESSON CXXXVI.

1. In measuring goods sold by the yard, the yard is divided into halves, fourths, eighths, and sixteenths.

3. This line is one inch long.

4. The inch is divided into halves, fourths, and eighths. 5. Make a line twice as long; three times as long. 6. How many inches long is this line?

7. How many inches in a line 1 foot long? In 1 ft. 6 in. ? In 2 ft.? In 2 ft. 8 in.?

8. How many inches in one-half foot? In one-third? 9. How many feet in 15 inches? Ans. 1 ft. and 3 in. 10. How many feet in 18 inches?

11. How many inches in 2 feet?

In 36 inches?

In 1 yard? 12. In 2 yards, how many quarters? Eighths?

LESSON CXXXVII.

1. Surface or Square Measure is used in measuring surfaces; as of land, boards, plastering, etc.

2. In computing the area or contents of land,

LESSON CXXXVIII.

1. A Surface has two dimensions-length and breadth. 2. The units of square measure

are squares.

3. A Square is bounded by four equal sides.

This drawing is a square inch, each side of which is 1 inch long.

SQUARE INCH

1 Inch.

4. How many square inches in a strip of board 1 inch wide and 12 inches long? In 2 such strips? In 3? In 4? In 5? In 6? 7? 8? 9? 10? 11? 12?

5. A square yard is a square, each side of which is 1 yd., or 3 ft. long.

This drawing represents a square yard divided into square feet.

6. In 1 row there are 3 sq. ft., in 3 rows there are 3 times 3 sq. ft., or 9 square feet.

1 yd. or 3 ft.

SQUARE

FOOT

SQUARE YARD

3 sq. ft. x 39 sq. ft.

7. How many square feet in the surface of a table 3 feet wide and 6 feet long?

3 feet.

8. How many square feet in the floor of a room 8 ft. wide and 10 ft. long?

9. How many square feet in a hall 6 ft. wide, 12 ft. long? How many square yards? How many yards of carpet 1 yd. wide will cover it?

10. How do we find the surface or contents of a square or of an oblong figure?

Ans. By multiplying together the two dimensions, or the length and breadth.

LESSON CXXXIX.

1. Cubic or Solid Measure is used in measuring solids; as timber, wood, stone, boxes of goods, etc.

TABLE.

1728 Cubic In. (cu. in.)=1 Cubic Ft., cu. ft. 1 cu. yd.= {

27 Cubic Feet

=1 Cubic Yd., cu. yd.

46656 cu. in.

27 cu. ft.

2. A Solid has three dimensions-length, breadth, and thickness.

3. The units of cubic measure are cubes.

4. A Cube is a body bounded by six equal squares called faces.

5. The sides of the squares are called the edges of the cube.

This drawing represents a cubic inch, each edge of which is 1 inch long.

1 Inch.