Denominate Numbers-Capacity.

348. The standard unit of capacity used in measuring grain, fruits, vegetables, lime, coal, etc., is a bushel. A bushel equals 2150.4 cubic inches.

NOTE.-In measuring large fruits, vegetables, lime, and coal, the unit is the heaped bushel." A heaped bushel equals about 1 "stricken bushels."

A bushel is nearly 14 cubic feet.

A "heaped bushel" is about 14 cubic feet.

A "dry gallon" (4 quarts dry measure) equals 268.8 cubic inches.

Enough "ear corn" to make, when shelled, one bushel, occupies about 2 cubic feet. If the corn is inferior in quality it will occupy more space than this-sometimes 2 cubic feet.

PROBLEMS.

1. Find the capacity in bushels of a wheat bin 8 ft. by 8 ft. by 10 ft.*

2. Give the dimensions of the smallest bin in which 1000 bushels of oats may be stored.

3. In a bin 12 feet square, there is rye to the depth of 7 feet. How many bushels?

4. How many bushels of potatoes (without heaping the bin) may be stored in a bin that is 8 ft. by 4 ft. by 6 ft.?

5. If the corn is of excellent quality, how many bushels of "shelled corn" may be expected from a crib of ear corn, 8 ft. by 10 ft. by 80 ft.?

* For many practical purposes the approximate ratio (11) of the bushel to the cubic foot will give in such problems as these, results sufficiently accurate.

Denominate Numbers-Weight.

349. The standard unit of weight in common use is a pound Avoirdupois.

The abbreviation for 1 hundredweight (100 lb.) is cwt.

2. Of 2650 lb. oats at 24¢ a bushel.
3. Of 3330 lb. wheat at 80¢ a bushel.
4. Of 4650 lb. potatoes at 42¢ a bushel.

(a) Find the sum of the four results.

*This means the amount of ear corn required to make ! bushel of shelled

corn.

1. Of 2560 lb. hay at $7.50 per ton.
2. Of 1430 lb. straw at 30¢ per cwt.

3. Of 24 tons meal at of a cent a pound.
4. Of 14 tons corn husks at 14 cents a pound.
5. Of 3420 lb. hay at $8.00 per ton.

(a) Find the sum of the five results.

Find the cost

6. Of 2140 lb. oats at 24¢ a bushel.
7. Of 2140 lb. corn at 28¢ a bushel.
8. Of 2140 lb. wheat at 90¢ a bushel.
9. Of 2140 lb. barley at 36¢ a bushel.
10. Of 2140 lb. rye at 42¢ a bushel.

(b) Find the sum of the five results.

Find the cost

11. Of 520 lb. clover seed at $6.30 a bushel.

12. Of 520 lb.

13. Of 520 lb.

14. Of 520 lb.

potatoes at 75¢ a bushel.

beans at $2.15 a bushel.

corn at 20¢ a bushel.

15. Of 520 lb. ear corn at 35¢ a bushel.
(c) Find the sum of the five results.

Find the approximate weight—

16. Of a barrel of kerosene.

17. Of 1 quart of milk.

18. Of the oats that will fill a bin that is 4 ft. by 4 ft by 9 ft.

19. Of the water that will fill a tank that is 2 ft. by 2 it. by 12 ft.

20. Of a five-gallon can of kerosene.

Denominate Numbers-Weight.

350. Troy weight is used in weighing gold, silver, and

351. Apothecaries' weight is used in mixing medicines and in selling them at retail.

NOTE 1.-The pound Troy and the pound Apothecary are equal, each weighing 5760 grains. The pound Avoirdupois weighs 7000 Troy or Apothecary grains.

NOTE 2.-The ounce Troy and the ounce Apothecary are each 480 grains; the ounce Avoirdupois is 437 grains.

QUERY.-Which is heavier, a pound of feathers or a pound of gold? An ounce of feathers or an ounce of gold?

PROBLEMS

1. Change 5 lb. Avoirdupois weight to pounds, ounces, etc., Apothecaries' weight.

2. How many 5 gr. powders can be made from one Avoirdupois ounce of quinine?

3. One Avoirdupois ton of gold is how many Troy pounds?

4. Twenty-four Troy pounds equal how many Avoirdupois pounds?

"So teach us to number our days that we may apply our hearts unto wisdom."