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PROBLEM VII.

To find how many pounds of gunpowder will fill a rectangular box.

RULE.

Divide the folidity of the box in inches, by 30, and the quotient will give the number of pounds.

EXAMPLE I.

How much powder will a box contain, whose length is 16 inches, breadth 10, and depth 9 inches?

16

10

160

9

30)1440

Anf. 46 lb.

Ex. 2. How much powder will a cubical box contain whose depth is 12 inches?

Anf. 57 lb.

Ex. 3. What quantity of powder will fill a box 15 inches. long, 12 broad, and 8 inches deep?

Anf. 46 lb.

PROBLEM VIII.

To find the fide of a cubical box that shall contain a given weight of

powder.

RULE.

RULE.

Multiply the weight in pounds by 30, and the cube root of the product will give the fide of the box in inches.

EXAMPLE I.

Required the fide of a' cubical box that fhall contain 57 lb. powder.

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Ex. 2. Required the fide of a cubical box to contain 900 lb. powder.

Anf. 30 inches

Ex. 3. Required the fide of a cubical box to contain 112

lb. gunpowder.

Anf. 15 inches.

PROBLEM IX.

To find what quantity of powder will fill a given cylinder.

RULE.

Multiply the fquare of the diameter by the length, and divide the product by 38.197 for the pounds of powder.

EXAMPLE

EXAMPLE I.

How many pounds powder will fill a cylinder whose diameter is 8 inches and the length 10 inches.

8

8

64

ΙΟ

38.197)640.000(16.75 lb.

38197

258030

229182

288480

267379

211010

190975

10035

Ex. 2. How much powder will fill a cylinder whofe diameter is 10 inches and length 16 inches?

Ex.

Anf.

3. Required the weight neceflary to fill a cylinder of 8 inches diameter and 20 in length.

Anf.

Diameters

GAUGING.

THE art of Gauging is that part of the Mathematics called

Stereometry, or the measuring of Solids, because the capacity of all veffels ufed for liquids, &c. are computed as if they were real folids And fince the contents of all forts of veffels, that come under the confideration of the gauger, are computed by the ftandard gallon or bufhel of its kind, whose content is known to be a certain number of cubic inches, all dimensions used in gauging should therefore be taken in inches and decimal parts of an inch.

The common wine gallon fealed at Guild-hall in London, contains 231 cubic inches: It is used for measuring all wines, brandy, fpirits, strong waters, mead, perry, cyder, vinegar, oil, honey, &c.—from which standard gallon the following table is computed.

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The gallon, whether beer or ale, contains 282 cubic inches: From thence the following tables are computed.

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This distinction between beer and ale measure is attended to in London, Edinburgh, &c.; but in many country places, both in England and Scotland, the following table is used, whether it be small or strong.

Cubic inches.

282 gallon.

2397=8=1 firkin.

4794 17 =2=1 kilderkin.

9588=34=4=2=1 barrel.

14382=51=6=3=14 hogshead.

The

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