** **Customary units mainly deals with the length measurement. Length measurement is important for lots of different reasons. Measurement of length have lots of applications in real life, like it helps you to know how far you have traveled, how far you have left to travel, how tall you are, distance and many other things.

International System of Units (abbreviated SI) are the units followed by people all over the world. meter (or meter), symbol m, is the base unit of length. By adding prefixes like Kilo(10³) , milli(10^{-3}) etc. We get derived units kilometer, millimeter respectively.

The system for measuring length in the United States is called customary system based on the inch, foot, yard, and mile, which are the only four customary length measurements in their everyday use.

Customary units are measurements used in USA. The measures of inches, foot, yards, chains, furlongs, miles and league are few examples.

**Measuring Systems:**

The system of measuring standard for base quantity like length, mass, time etc is known as measuring system. There are following measuring systems in use as tabulated below -

S.No | System's Name | Unit of Length | Unit of Length | Unit Of Times |

1 | CGS System | Centimeter (cm ) | Gram ( gm ) | Second ( s ) |

2 | MKS System | Metre ( m ) | Kilogram ( Kg ) | Second ( s ) |

3 | FPS System | Foot ( ft ) | Pound ( lb ) | Second ( s ) |

4 | SI system | Metre ( m ) | Kilogram ( Kg ) | Second ( s ) |

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Today metric system rules the world because it is easy to calculate. Yet USA uses these old measures.

3 feet = 1 yard

22 yards = 1 chain

10 chains = 1 furlong

8 furlongs = 1 mile

3 miles = 1 league

5.5 yards = 1 rod = 1pole = 1 perch

40 rods = 1 furlong.

Units for capacity:

1 pint (pt) = 2cups (c)

1 quart (qt) = 2 pints (pt)

1 quart (qt) = 4 cups (c)

1 gallon (gal) = 4 quarts (qt)

1 gallon (gal) = 8 pints (pt)

1 gallon (gal) = 16 cups (c)

1 cup (c) = 8 fluid ounces (fl)

As 1 pint is equal to 2 cups, 2 pints will be equal to 4 cups.

24 pints is equals to 3 gallon

Units of weight

1 pound (1b) = 16 ounces (oz)

1 ton (T) = 2,000 pounds

32 ounces is equal to 2 pound
As we know 1 pound = 16 ounces

3 ton is equal to 6,000 pounds
Because 1 ton = 2,000 pounds

The customary units of measurement include ounces, pint, quarter and gallons

8 flood ounces = 1 cup

2 cups = 1 pint

2 pints = 1 quarter

4 quarters = 1 gallon

1 ounce = 2 tablespoons

1 tablespoon = 3 teaspoons

16 ounces = 1 pound

Customary units can be converted from one unit to the other.

**For Example:**

when 8 oz = 1 cup

and 2 cups = 1 pint,

we can convert 16 oz to 1 pint.

**Similarly:** 1 gallon= 4 (quarts) = 8 (pints) = 16 (cups) = 128 fl oz

We can convert customary unit to metric units by the following expressions.

1 oz = 30 ml(milliliter)

1 oz = 28.35 grams

1 gallon = 128 oz = 4.55 liter

2,000 pounds = 1 ton = 1,016 Kg.

**Likewise**, we can convert 12 inches = 0.30 m

1 furlong = 1.6 km

80 chains = 1 mile

792 inches = 1 chain

7,920 inches= 1 furlong

63,360 inches = 1 mile

1 rod = 5.03 m

1 light year = 1,86,282 miles / sec

= 2,99,792.5 km/sec

we can say 1 acre = 4,840 sq .yards

= 43,560 sq. ft.

1 sq. mile = 640 acres

= 252 hectares

100 ares = 2.471 acres

We know that one foot equals 12 inches

Therefore 2.5 feet = 2.5 $\times$ 12

= 30 inches.

Firstly we will convert into feet

That is 1.5 yard = 1.5 $\times$ 3 (because 3 feet equals 1 yard)

= 4.5 feet

Now 4.5 feet = 4.5 $\times$ 12 (because 12 inches equals 1 feet)

= 54 inches

Therefore 1.5 yard equals 54

Since we are converting from smaller unit to higher unit we should divide.

Therefore 150 inches = $\frac{150}{12}$

= 12.5 feet (since 1 foot equals 12 inches)

& also150 inches = $\frac{150}{36}$

= 4.17 yards

We know 16 tablespoons = 1 cup

So 32 tablespoons = 2 cups.

2 cups of wheat flour + 2 cups of corn flour = 4 ups of flour = 1 quarter.

The volume of the vessel is 1 quarter.

1 mile = 8 furlongs $\times$ 10 chains $\times$ 22 yards $\times$ 3 feet = 8 $\times$ 10 $\times$ 22 $\times 3 = 5280 feet

So 1 mile = 5280 feet

1 mile = 8 furlongs $\times$ 10 chains $\times$ 22 yards = 8 $\times$ 10 $\times$ 22 = 1760 yards.

1 mile = 1760 yards.

Length is in yards but width is in chain. Change width to yards. 1 chain = 22 yards. So width = 22 yards

Perimeter is 2 length + 2 width = 2 $\times$ 66 + 2 $\times$ 22 = 132 + 44 = 176 yards = 8 chains.

Area is length $\times$ width = 66 $\times$ 22 = 1452 sq yards. = 3 sq chains

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