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Units of Measurement of Length English System: Inch Foot Yard Mile Metric System: Millimeter Centimeter Meter Kilometer Conversion Factors (six significant figures) Metric to English English to Metric Miscellaneous 1 fathom 1 astronomical unit (average distance between earth and sun) 1 light-year (distance traveled by light in 1 year) Units of Measurement of Area English System: Square Inch Square Foot Square Yard Acre, Square Mile Metric System: Square Centimeter Square Meter Square Kilometer 1 m 2 5 10,000 cm 2 1 km 2 5 1,000,000 m 2 xkm 2 c xm 2 c, xcm 2 c, 1 ft 2 5 144 in. 2 1 yd 2 5 9 ft 2 1 acre 5 43,560 ft 2 1 mi 2 5 640 acres xmi 2 c xyd 2 c, xft 2 c, xin. 2 c, < 5,880,000,000,000 mi < 93,000,000 mi 5 6 ft 1 mi < 1.60934 km 1 km < 0.621371 mi 1 yd < 0.914400 m 1 m < 1.09361 yd 1 ft < 0.304800 m 1 m < 3.28084 ft 1 in. < 2.54000 cm 1 cm < 0.393701 in. 1 in. < 25.4000 mm 1 mm < 0.0393701 in. 1 cm 5 10 mm 1 m 5 1000 mm 1 m 5 100 cm 1 km 5 1000 m xkmc xmc, xcmc, xmmc, 1 ft 5 12 in. 1 yd 5 3 ft 1 mi 5 1760 yd 1 mi 5 5280 ft xmic xydc, xftc, xin.c, APPENDIX D I Formulas, Properties, and Measurements D.2 UNITS OF MEASUREMENTS Units of Measurement of Length Units of Measurement of Area Units of Measurement of Volume Units of Measurement of Mass and Force Units of Measurement of Temperature Miscellaneous Units and Number Constants

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Page 1: Units of Measurement of Length - Cengagecollege.cengage.com/mathematics/larson/calculus_applied/6e/shared/... · Units of Measurement of Length ... 1 astronomical unit ... Units of

Units of Measurement of Length

English System: Inch Foot Yard Mile

Metric System: Millimeter Centimeter Meter Kilometer

Conversion Factors (six significant figures)

Metric to English English to Metric

Miscellaneous

1 fathom

1 astronomical unit (average distance between earth and sun)

1 light-year (distance traveled by light in 1 year)

Units of Measurement of Area

English System: Square Inch Square Foot Square Yard Acre, Square Mile

Metric System: Square Centimeter Square Meter Square Kilometer

1 m2 5 10,000 cm21 km2 5 1,000,000 m2

xkm2cxm2c,xcm2c,

1 ft2 5 144 in.21 yd2 5 9 ft21 acre 5 43,560 ft21 mi2 5 640 acres

xmi2cxyd2c,xft2c,xin.2c,

< 5,880,000,000,000 mi

< 93,000,000 mi

5 6 ft

1 mi < 1.60934 km1 km < 0.621371 mi

1 yd < 0.914400 m1 m < 1.09361 yd

1 ft < 0.304800 m1 m < 3.28084 ft

1 in. < 2.54000 cm1 cm < 0.393701 in.

1 in. < 25.4000 mm1 mm < 0.0393701 in.

1 cm 5 10 mm1 m 5 1000 mm

1 m 5 100 cm1 km 5 1000 m

xkmcxmc,xcmc,xmmc,

1 ft 5 12 in.1 yd 5 3 ft

1 mi 5 1760 yd1 mi 5 5280 ft

xmicxydc,xftc,xin.c,

APPENDIX D I Formulas, Properties, and Measurements

D.2 UNITS OF MEASUREMENTS

Units of Measurement of Length • Units of Measurement of Area •Units of Measurement of Volume • Units of Measurement of Mass and Force •Units of Measurement of Temperature • Miscellaneous Units and Number Constants

Page 2: Units of Measurement of Length - Cengagecollege.cengage.com/mathematics/larson/calculus_applied/6e/shared/... · Units of Measurement of Length ... 1 astronomical unit ... Units of

APPENDIX D I Formulas, Properties, and Measurements

Units of Measurement of Area (Continued)

Conversion Factors (six significant figures)

Metric to English English to Metric

Miscellaneous

1 square mile section quarters

Units of Measurement of Volume

English System: Cubic Inch Cubic Foot Cubic Yard Fluid Ounce Pint Quart Gallon

Metric System: Cubic Centimeter Cubic Meter Milliliter Liter

Conversion Factors (six significant figures)

Metric to English English to Metric

Miscellaneous

1 barrel sbld 5 42 gallons spetroleumd1 tablespoon 5 4 teaspoons smedicald1 tablespoon 5 3 teaspoons scookingd

1 cup 5 16 tablespoons1 quart 5 4 cups

1 fifth < 0.757 liter1 gallon 5 5 fifths

1 yd3 < 0.764555 m31 m3 < 1.30795 yd3

1 ft3 < 0.0283168 m31 m3 < 35.3147 ft31 in.3 < 16.3871 cm31 cm3 < 0.0610237 in.3

1 cm3 5 1 cc

1 liter 5 1000 cc1 m3 5 1000 liters

xccc,xm3c,xcm3c,

1 ft3 < 7.48052 gal1 gal < 231 in.31 pt 5 16 fl oz1 qt 5 32 fl oz

1 qt 5 2 pt1 gal 5 4 qt

1 ft3 5 1728 in.31 yd3 5 27 ft3

xgalcxqtc,xptc,xfl ozc,xyd3c,xft3c,xin.3c,

5 45 1

1 mi2 < 2.58999 km21 km2 < 0.386102 mi21 yd2 < 0.836127 m21 m2 < 1.19599 yd2

1 ft2 < 0.0929030 m21 m2 < 10.7640 ft21 in.2 < 6.45160 cm21 cm2 < 0.155000 in.2

Page 3: Units of Measurement of Length - Cengagecollege.cengage.com/mathematics/larson/calculus_applied/6e/shared/... · Units of Measurement of Length ... 1 astronomical unit ... Units of

Units of Measurement of Mass and Force

English System (Force or Weight): Ounce (oz), Pound (lb), Ton

Metric System (Mass): Gram (g), Kilogram (kg), Metric Ton

Conversion Factors (six significant figures at sea level)

Metric to English English to Metric

Units of Measurement of Temperature

Fahrenheit (F), Celsius (C), Kelvin or Absolute (K)

Celsius to Fahrenheit Fahrenheit to Celsius

Celsius to Kelvin Kelvin to Celsius

Freezing temperature for water

Boiling temperature for water

Absolute zero temperature

is, by definition, the lowest possible temperature, at which thereis no molecular activity.

Miscellaneous Units and Number Constants

Equatorial radius of the earth 3963.34 mi 6378.377 km

Polar radius of the earth 3949.99 mi 6356.893 km

Acceleration due to gravity at sea level 32.1726

Speed of sound at sea level (standard atmosphere) 1116.45

Speed of light in vacuum 186,284

Density of water: 1 ft3 < 62.425 lb

miysec<ftysec<

ftysec2<<<

<<

e < 2.7182818284p < 3.1415926535

ds08K

5 08K 5 2273.158C 5 2459.678F

5 2128F 5 1008C

5 328F 5 08C

8C 5 8K 2 273.158K 5 8C 1 273.15

8C 559

s8F 2 32d8F 595

8C 1 32

1 ton < 0.907185 metric ton1 metric ton < 1.10231 ton

1 lb < 0.453592 kg1 kg < 2.20462 lb

1 oz < 28.3495 g1 g < 0.0352740 oz

1 kg 5 1000 g1 metric ton 5 1000 kg

1 lb 5 16 oz1 ton 5 2000 lb

APPENDIX D I Formulas, Properties, and Measurements