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3. How many gallons will a tank 6 ft. long, 3 ft. 4 in. wide, and 2 ft. 6 in. deep contain?

4. How many barrels of water will a vat hold that contains 43659 cubic inches?

5. How many hogsheads will a cistern 11 ft. long, 6 ft. wide, and 7 ft. deep contain?

6. Find the weight of water in a bath-tub 6 ft. long, 3 ft. wide, and 1 ft. 9 in. deep.

7. How many gallons will a space contain that is 22.5 ft. long, 3.25 ft. wide, and 6.4 ft. deep?

8. A cellar 35 ft. long and 24 ft. wide, contains 3 ft. of water. What will it cost to pump it out, at 5 cents a hogshead?

9. A tank in the attic of a house is 4 ft. long, 3 ft. wide, and 1 ft. 8 in. deep. How many gallons of water will it hold, and what will be its weight?

10. How many cubic feet in a space that holds 52 barrels ? 11. How many more cubic inches in 89.5 gal., dry measure, than in the same number of gallons liquid measure?

230. To find the exact capacity of a bin, or any rectangular space, in bushels.

1. A bin is 6 ft. long, 5 ft. wide, and 4 ft. deep. How many stricken, or how many heaped bushels will it hold?

SOLUTION.

§ (6 ft. × 5 × 4 × 1728)÷2150 42 = 96.423, stricken bushels. (6 ft. × 5 × 4 × 1728)÷2747.7 = 75.46, heaped bushels.

2. What is the volume of a rectangular bin that will hold 128 bu., stricken measure; also of one that will hold 128 bu. heaped measure?

SOLUTION.

§ 1st, stricken meas., 128 × 2150.42÷1728 =159.29 cu. ft. 2d, heaped

66

128 × 2747.7 ÷1728

= 203.53 cu. ft.

RULE.-Divide the contents in cubic inches by 2150.42 for STRICKEN, or by 2747.7 for HEAPED bushels. Conversely,

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To find the cubic contents in a given number of bushels:

Multiply the number of bushels by 2150.42, if STRICKEN, or by 2747.7, if HEAPED; the product will be the number of cu. in., which may be reduced to higher denominations, if required.

For all practical purposes, the following is sufficiently exact:

1. Multiply the contents in cubic feet by .8 for STRICKEN, or by .63 for HEAPED bushels, and the product will be the required number of bushels. Conversely,

2. Divide the number of STRICKEN bushels by .8, or the number of HEAPED bushels by .63, and the quotient will represent the capacity in cubic feet.

The following examples are all solved by these last rules.

3. A bin 10 ft. long, 6 ft. wide, and 4 ft. deep, will hold how many bushels of oats? Of potatoes?

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4. What is the volume in cubic feet of a bin that will hold 320 bushels of grain? Of corn in the ear?

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5. What must be the depth of a bin to contain 240 bu. of grain, its length being 10 ft. and its width 5 ft.?

SOLUTION.-240÷.8 =300; 300 cu. ft. ÷ 10×5 = 6 ft., the depth.

6. How many bushels of grain will a bin 10 ft. square and 4 ft. high contain ?

7. A rectangular box will hold 256 bu. of wheat. What is its volume in cubic feet?

8. How many bushels of wheat can be put in a bin 8 ft. long, 6 ft. 6 in. wide, and 3 ft. 4 in. deep?

9. What must be the length of a bin that is 6 ft. wide and 41 ft. deep, to contain 324 bushels of oats?

10. How many bushels will a bin hold, that is 16 ft. long, 4 ft. 6 in. wide, and 3 ft. 4 in. deep?

11. A bin that holds 100.8 bu. of corn is 7 ft. long and 6 ft. deep. How wide is it?

12. How many bushels of grain will fill a bin that is 8.5 ft. long, 4.25 ft. wide, and 33 ft. deep?

13. How many bushels of apples will a wagon-box hold, that is 12 ft. long, 3 ft. wide, and 2 ft. 6 in. deep? How many bushels of barley?

14. A bin 20 ft. long, 12 ft. wide, and 5 ft. deep, is full of wheat. What is its value at $2 a bushel?

15. A bin 7 ft. long, 6 ft. wide, and 5 ft. deep, is full of rye. What is its value at $1.37 a bushel?

16. A farmer's entire crop of long. 6 ft. wide, and 5 ft. deep. per cental?

barley just filled a bin 10 ft.

What was its value, at $1.78

17. A crib, the inside dimensions of which are 15 ft. long, 7 ft. 4 in. wide, and 8 ft. high, is full of corn in the ear. If 2 bu. of ears make 1 bu. of shelled corn, what is the value of the whole, when shelled, at $.92 a bushel?

18. If one bushel or 60 lb. of wheat make 48 lb. of flour, how many barrels of flour can be made from the contents of a bin 10 ft. long, 5 ft. wide, and 4 ft. deep, filled with wheat?

19. How many tons of ice can be packed in a building 40 ft. long, 30 ft. wide, and 20 ft. high, a cubic foot of ice weighing 581 pounds?

20. A vat that will hold 5000 gallons of water will hold how many bushels of corn?

21. Required the number of bushels of shelled corn in a crib 16 ft. long, 6 ft. 9 in. wide, and 7 ft. high, full of ears, if 2 bu. of ears make 1 bu. of shelled corn?

22. If a man buy 6 bu. of chestnuts at $4 a bushel, dry measure, and sell the same at 20 cents a quart, liquid measure, how much does he gain?

The only accurate method of measuring coal, hay, corn in the crib, and like products is by weight; but for the ordinary purposes of estimation, the following units of measure in bulk may be used:

1. Coal.-Ordinary anthracite coal measures from 36 to 40 cu. ft. to the ton; bituminous coal, from 36 to 45 cu. ft. to the ton.

2. Lehigh, white ash, egg size, measures about 34 cu. ft. to the ton (2000 lb.); Schuylkill, white ash, 35 cu. ft., and of gray or red ash, 36 cu. ft. to the ton.

3. Coal is bought and sold in large quantities by the ton; in small quantities by the bushel, the conventional rate being 28 heaped bushels to a ton, or about 44.5 cu. ft.

Hay. When loose, or in loads, or upon scaffolds, 500 cu. ft. is estimated to the ton of 2000 lb. ; in bays, or mows, 400 cu. ft.; and in large, well-settled stacks, or in bales packed for shipping, 10 cu. yd.

For clover-hay, deduct about one-fifth from the weight.

23. How many tons of red ash coal, egg size, will a bin 17 ft. long, 6 ft. wide, and 3 ft. deep, contain?

24. A bin 6 ft. long, 4 ft. deep, and 5 ft. 9 in. wide, is full of Lehigh white ash coal. Find its value at $6.75 a ton?

25. A large crib 10 yd. long, 6 yd. wide, and 6 yd. deep, is filled with Schuylkill red ash coal. Find the number of tons it contains, and its value at $51⁄2 a ton?

26. A bin 7 ft. long, 5 ft. wide, and 5 ft. deep, is half full of Schuylkill white ash coal. Find its value at $5.90 a ton.

How many tons

27. Of old hay, in a mow 86 ft. × 24 ft. × 16 ft.?

28. Of hay in a load, 16 ft. long, 8 ft. wide, and 7 ft. high? 29. Of hay in a well-settled stack, 15 ft. square and 16 ft.

high; and what is its value at $141 a ton?

30. What is the value of a mow of clover-hay, measuring 60 ft. x 30 ft. x 18 ft., at $12.75 a ton?

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231. 1. What is of $100? TOO? 25? 84?

24

100
45

2. What is of $600? 18? PA? 15?

5 100

100

100

3. How many hundredths of $1 are 25 cts.? 40 cts.? 63 cts.? 4. How many hundredths of anything is of it? ? ? ? 5. What part of $100 is $7? $25? $33? $75 ?

6. If I pay $100 for a clock, and sell it for $109, how many dollars do I gain? How many hundredths of the cost?

7. If I sell the clock for $93, how many dollars do I lose? How many hundredths of the cost?

The number of hundredths gained or lost is called the rate.

232. Per cent. means by the hundred.

Thus, 5 per cent. means 5 of every 100; 10 per cent. of any number of miles means 10 mi. of every 100 mi., or 1 mi. for every 10 mi.

233. The sign % is used for the words per cent.

Thus, 6% means 6 per cent.; 43% means 41 per cent.

5 per cent., 5%, 150 are equivalent expressions.

Per cent. may be expressed in the form of a common fraction.

1. How many hundredths of a number is 4 per cent. of it? 6 per cent.? 7%? 9%? 15%? 34%?

2. What per cent. of a number is 13 of it? T of it?

T80? ? 28? 12? t?

100

26 100

100

3. How many hundredths of a number is 24% of it? 51%?

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4. What % of a number is of it? of it? ? ? ? 욥? 욥? 쑴? 욥? 해? 응? 금욥?

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