of oil-cloth contains of a square yard.

e of zinc contains 6 (25) square feet.

contains 12 (4) square yards. Its side

fraction is not a perfect square, be sure that it is in its ct square?

1.

Decimal Fractions.

1. The numerator of .25 is 25; the denominator is 100.

5. If the numerator of any number of hundredths is a perfect square, the fraction is a perfect square.*

10. A square piece of tinfoil contains . 25 of a square foot. †

Its side is

of a foot. ✓.25=

=

.5 x .5 =

.52 =

11. A square piece of zinc contains 6.25 (25) square

12. A square rug contains 12.25 (1225) square yards.§

Its side is

100

*Is this true of every number of tenths? thousandths? + Compare this problem with problem 6, page 262. with problem 8, page 262.

§ Compare this problem with problem 9, page 262.

Compare this problem

7. A piece of land 2 chains by 3 chains is what part of

an acre? 4 ch. by 2 ch.?

Find the number of acres in each of the following:

(i) One mile is how many chains?

(j) The perimeter of a section of land is how many chains? (k) The perimeter of a quarter section?

(1) One hundred ninety eight feet equals how many chains?

*The chain to which reference is here made is known as the land surveyor's chain. Civil engineers use a chain 100 feet long.

1. How far is it from the northeast corner of section 1 to

the northwest corner of section 6?

2. Going on section lines, how far must one travel to go from the northwest corner of section 6 to the southeast corner of section 36?

(a) If there is a road on every section line, how many miles of road in and around one township?

(b) If the roads are 4 rods wide, how much land in the road extending from the northwest corner of section 1 to the northwest corner of section 36?

(c) Mr. A owns the northeast quarter of section 19; Mr. B owns the southwest quarter of section 2. How many miles

by section lines from Mr. A's land to Mr. B's land?

(d) How many acres of land, including the roads, in a full township?

*Review page 255.

1. If from a cube of dried clay you cut the largest possible sphere, what part of the clay will you cut away? *

2. A sphere is a little more than of the smallest cube from which it could have been cut.

Observe that the diameter of the sphere equals the side of the smallest cube from which it could have been cut.

3. What is the solid content of a 1-inch sphere? +

4. What is the solid content of a 2-inch cube? Of a 2-inch. sphere?

5. What is the solid content of a 3-inch cube? Of a 3-inch sphere?

6. What is the solid content of a 4-inch cube? Of a 4-inch sphere?

Regarding as the ratio of the solid content of a sphere to the solid content of the smallest cube from which it could have been cut, first find the approximate solid content of each of the following without a pencil; then use .52 as the ratio and solve with a pencil.

A little more than a cubic inch; more accurately, a little more than .52 of a cubic inch.