Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση

11. A railroad tunnel is one-eighth of a mile long, averaging 24 ft. wide and 20 ft. high; what did the excavation cost, at $1.50 a cubic yard? Ans. $17600.

12. How many freight cars will be required to transport 12000 bu. of wheat, 60 lb. each, 24000 lb. being the weight allowed for a single car? Ans. 30 cars.

13. A coal dealer has a wagon which holds exactly one ton of Schuylkill red ash coal (36 cu. ft.); if the wagon-bed is 7 ft. long and 4 ft. wide, what is its depth? Ans. 12 in.

14. I used the earth taken from 4 cellars in grading a lot of ground; if the cellars were 30X21 ft., 28X18 ft., 24×16 ft., and 32X24 ft., respectively, and 5 ft. deep, how many loads (cu. yd.) did I use? Ans. 423 loads.

SUPPLEMENTARY PROBLEMS.

To be omitted unless otherwise directed.

15. What costs the excavation for a cellar 51⁄2 ft. deep under the main building of a dwelling-house 30X25 ft. and an excavation for the walls of an L 16 ft. square, 14 ft. wide, and 2 ft. deep, at 50¢ per cu. yd.? Ans. $78.888.

16. What costs the plastering of a house of 12 rooms, there being on each story 4 rooms 14×15 ft. and a hall 30×8 ft.; the first story being 10 ft. high, the second 9 ft., and the third 8 ft., allowance being also made for 24 doors 7×3 ft., and 30 windows 6×3 ft., at 30% per sq. yd.? Ans. $357.86.

17. Required the cost of a cellar of a house 40×30 ft., the different items being as follows: excavating cellar, 4 ft. deep, at 50 per cu. yd.; cellar wall, 7 ft. high and 18 in. thick, the lower 4 ft. common masonry, @$3.15 a perch, and the upper 3 ft. cut stone at 167 per sq. ft. Ans. $263-.

18. Required the cost of brick-work of the same house, the walls being 35 ft. high and 13 in. thick, and gable 10 ft. high, using common bricks at $10 per M., bricklaying costing $3 per M., allowing for 3 doors, each 7 ft. by 34 ft., and 30 windows, each 6 ft. by 3 ft.

Ans. $1258.915.

SUPPLEMENT TO DENOMINATE NUMBERS.

These supplementary exercises of Arts, 372, 373 and 374 are to be omitted by pupils needing a shorter course, unless otherwise directed.

COMPARISON OF MEASURES OF CAPACITY.

372. The Dry Gallon, or half peck, contains 268.8 cubic inches; hence 6 dry gallons equal nearly 7 liquid gallons.

NOTE. The pupil will remember that the liquid gallon contains 231 cu. in., and the old beer gallon 282 cu. in.

WRITTEN EXERCISES.

1. How many more cubic inches in 495.3 dry gallons than in 495.3 liquid gallons? Ans. 18722.34 cu. in.

Ans. .5399-.

2. What part of 5 gal. 2 qt. of old beer measure is 3 gal. 2 qt. 1 pt. of liquid measure? 3. How many bushels of oats can be put in a tank that holds 4550 gallons of water? Ans. 488.765— bu.

4. How many gallons of water can be poured into a bushel measure to exactly fill it?

Ans. 9.31-.

5. If 32 quarts of water are put into a vessel that holds exactly 32 quarts of strawberries, will the water be more or less than the vessel will hold ? Ans. 302.4 cu. in. less,

6. A grocer sold molasses at 15 cents a quart, but the clerk, by mistake, measured a day's sales by the dry quart; he sold 25 gallons; what did it cost a quart, liquid measure ?

Ans. 125 cents.

COMPARISON OF WEIGHTS.

373. The Troy Pound and the Apothecaries' Pound each contains 5760 Troy grains; the Avoirdupois pound contains 7000 Troy grains. The Avoirdupois ounce contains 437 grains, while the Troy ounce contains 480 grains.

Rule. Reduce the given denominations to grains, and divide by 480 to find Troy ounces, and 437 to find ounces Avoirdupois.

1. How many rings, each weighing 24 pwt., can be made from a bar of gold weighing 1 lb. Avoirdupois?

Ans. 101 rings, 31 gr. remaining.

2. What is the value of a silver pitcher weighing 2lb. 10 oz. Avoirdupois, at $2.25 per ounce Troy ? Ans. $86.13. 3. Which is the heavier, 52ğ lb. of lead or 52.625 lb. of silver? Ans. The lead.

4. How many pounds of gold are actually as heavy as 10 lb. of iron? Ans. 12 lb.

5. How many times 3 lb. 10 oz. Troy is 5 lb. 12 oz. Avoirdupois? Ans. 1.8229+..

6. A young lady weighs 120 lb. Avoirdupois weight; how much would she weigh by Troy weight? Ans. 145 lb. 7. If a druggist buys 25 lb. Avoirdupois of drugs at $8 a pound, and sells them in prescriptions at the rate of 75% an 3, what is the gain? Ans. $65.10.

COMPARISON OF MONEY.

374. The Pound Sterling is valued at $4.8665; and the Franc at 19.3 cents; the Mark at 23.85 cents.

375. The gold Dollar weighs 25.8 gr.; the silver Dollar, 412 gr.; the Half-dollar, 192.9 gr.; the Sovereign (gold), 123.274 gr.; and the Shilling (silver), 87.27 gr.

1. How many dollars in £25?
2. How many dollars in £14 12s?
3. How many pounds in $256.16 ?
4. How many dollars in 240 guineas?
5. How many francs in £42?

6. How many pounds in 875 francs ?
7. How many marks in £340 ?

8. How many pounds in 4375 marks?

Ans. $121.664.

Ans. $71.05.

Ans. £52 12s. 9d.-.

Ans. $1226.358. Ans. 1059.03 fr. Ans. £34 14.03 s.

Ans. 6937.568 marks.

Ans. £214 8s. 3d.-.

9. How many pounds Avoirdupois in 1000 sovereigns?

Ans. 17.610.

10. An ingot of pure gold was brought from California to be coined at the Philadelphia mint; if it how many gold dollars will it make,

weighed 15 lb. 8 oz. Troy, of the coin being alloy ? Ans. $3886; 7.08 gr. rem.

« ΠροηγούμενηΣυνέχεια »