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Conversion Charts and Formulas for Length, Area, Volume, Mass, and Temperature, Study Guides, Projects, Research of Elementary Mathematics

Chicago State University (CSU)Elementary Mathematics

Conversion charts and formulas for various units of length, area, volume, mass, and temperature. It includes conversions between inches, feet, yards, miles, millimeters, meters, square inches, square feet, square yards, acres, hectares, cubic inches, cubic feet, cubic yards, gallons, pounds, kilograms, tons, atmospheres, and quintals. It also includes formulas for calculating the circumference and area of circles, rectangles, triangles, parallelograms, and elipses, as well as the volume and surface area of cones and frustrums.

Typology: Study Guides, Projects, Research

2021/2022

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CONVERSION CHARTS & FORMULAS
PAG E 90
TO CONVERT TO MULTIPLY BY
Inches Feet 0.0833
Feet Inches 12
Feet Yards 0.3333
Yards Feet 3
Square Inches Square Feet 0.00694
Square Feet Square Inches 144
Square Yards Square Feet 9
Cubic Inches Cubic Feet 0.00058
Cubic Feet Cubic Inches 1728
Cubic Feet Cubic Yards 0.03703
CUbic Yards Cubic Feet 27
Cubic Inches Gallons 0.00433
Cubic Feet Gallons 7.48
Gallons Cubic Inches 231
Gallons Cubic Feet 0.1337
Gallons Pounds of Water 8.33
Pounds of Water Gallons 0.12004
Ounces Pounds 0.0625
Pounds Ounces 16
Inches of Water Pounds per Sq. Inch 0.0361
Inches Millimeters 25.4
Millimeters Inches 0.3937
Feet Meters .3048
Meters Feet 3.281
Yards Meters .9144
Meters Yards 1.094
Miles Kilometers 1.609
Kilometers Miles .6214
Sq. Inches Sq. Centimeters 6.452
Sq. Centimeters Sq. Inches .1550
Sq. Feet Sq. Meters .0929
Sq. Meters Sq. Feet 10.76
Sq. Meters Sq. Yards 1.196
Acres Hectares .4047
Hectares Acres 2.471
Acres Sq. Kilometers .004047
Sq. Kilometers Acres 247.1
Inches of Water Inches of Mercury 0.0
TO CONVERT TO MULTIPLY BY
Inches of Water Ounces per Sq. Inch 0.5
Inches of Water Pounds per Sq. Foot 5.2
Inches of Mercury Inches of Water 13
Inches of Mercury Feet of WAter 1.1
Inches of Mercury Pounds per Sq. Inch 0.4
Ounces per Sq. Inch Inches of Mercury 0.1
Ounces per Sq. Inch Inches of Water 1.7
Pounds per Sq. Inch Inches of Water 27
Pounds per Sq. Inch Feet of Water 2.3
Pounds per Sq. Inch Inches of Mercury 2.0
Pounds per Sq. Inch Atmospheres 0.0
Feet of Water Pounds per Sq. Inch 0.4
Feet of WAter Pounds per Sq. Foot 62
Feet of Water Inches of Mercury 0.8
Atmospheres Pounds per Sq. Inch 14
Atmospheres Inches of Mercury 29
Atmospheres Feet of Water 34
Long Tons Pounds 224
Short Tons Pounds 200
Short Tons Long Tons 0.89
Sq. Miles Sq. Kilometers 2.590
Sq. Kilometers Sq. Miles .3861
Cubic Inches Cubic Millimeters 1639
cubic Millimeters Cubic Inches .000061
Cubic Inches Cubic Centimeters 16.39
Cubic Centimeters Cubic Inches .06102
Cubic Feet Cubic Meters .0283
Cubic Meters CUbic Feet 35.31
Cubic Yards Cubic Meters .7646
Cubic Meters Cubic Yards 1.308
Grams Centigrams 6.48
Centigrams Grams .1543
Ounces Grams 31.103
Grams Ounces .03527
Pounds Kilograms .4536
Kilograms Pounds 2.2046
Tons(2000#) Metric Tons .9078
Metric Tons Tons (2000#) 1.1023
METRIC UNIT METERS INCHES FEET YARDS MILES
Millimeter (mm) .001 -- -- -- --
Centimeter (cm) .01 .3937 -- -- --
DEcimeter (dm) .1 3.937 .3281 .1094 --
Meter (m) 1 39.37 3.281 1.094 --
Decameter (dkm 10 393.7 32.81 10.94 --
Hectometer (hm) 100 3937 328.1 109.4 --
KiloMeter (km) 1000 -- 3281 1094 .6214
METRIC UNIT CENTARES SQ. INCHES SQ FEET SQ. YARDS ACRES
Sq. Millimeter .000001 -- -- -- --
Sq. Centimeter .0001 .1550 -- -- --
Sq. Decemeter .01 15.50 .1076 -- --
Centare (ca) 1 1550 10.76 1.196 --
Sq. Meter 1 1550 10.76 1.196 --
Are (a) 100 -- 1076 119.6 --
Hectare (ha) 10,000 -- -- -- 2.471
Sq. Kilometer 1,000,000 -- -- -- 247.1
METRIC UNIT STERE CU. INCHES CU.FEET CU. YARDS
Cu Millimeter .000000001 -- -- --
Cu. Centimeter .000001 .06102 -- --
Cu. Decimeter .001 61.023 -- --
Desistere (ds) .1 6102.3 3.531 .1308
Stere (s) 1 61023 35.31 1.308
Cu. Meter 1 61023 35.31 1.308
Decastere (dks) 10 -- 352.1 13.08
METRIC UNIT GRAMS GRAINS OUNCES POUNDS
Milligram (mg) .001 .01543 -- --
Centigram (cg) .01 .1543 -- --
Decigram (dg) .1 1.543 -- --
Gram 1 15.43 .03527 --
Decagram (dkg) 10 154.3 .3527 --
Hectogram (hg) 100 1543 3.527 .22046
Kilogram (kg) 1000 -- 35.27 2.2046
Quintal (q) 100,000 -- 3527 220.46
Metric Ton 1,000,000 -- -- 2204.6
pf2

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Download Conversion Charts and Formulas for Length, Area, Volume, Mass, and Temperature and more Study Guides, Projects, Research Elementary Mathematics in PDF only on Docsity!

CONVERSION CHARTS & FORMULAS

METRIC UNIT METERS INCHES FEET YARDS MILES Millimeter (mm) .001 -- -- -- -- Centimeter (cm) .01 .3937 -- -- -- DEcimeter (dm) .1 3.937 .3281 .1094 -- Meter (m) 1 39.37 3.281 1.094 -- Decameter (dkm 10 393.7 32.81 10.94 -- METRIC UNIT CENTARES SQ. INCHES SQ FEET SQ. YARDS ACRES Sq. Millimeter .000001 -- -- -- -- Sq. Centimeter .0001 .1550 -- -- -- Sq. Decemeter .01 15.50 .1076 -- -- Centare (ca) 1 1550 10.76 1.196 -- Sq. Meter 1 1550 10.76 1.196 -- METRIC UNIT STERE CU. INCHES CU.FEET CU. YARDS Cu Millimeter .000000001 -- -- -- Cu. Centimeter .000001 .06102 -- -- METRIC UNIT GRAMS GRAINS OUNCES POUNDS Milligram (mg) .001 .01543 -- -- Centigram (cg) .01 .1543 -- -- Decigram (dg) .1 1.543 -- -- Gram 1 15.43 .03527 --

  • PAGE
  • Inches Feet 0. TO CONVERT TO MULTIPLY BY
  • Feet Inches
  • Feet Yards 0.
  • Yards Feet
  • Square Inches Square Feet 0.
  • Square Feet Square Inches
  • Square Yards Square Feet
  • Cubic Inches Cubic Feet 0.
  • Cubic Feet Cubic Inches
  • Cubic Feet Cubic Yards 0.
  • CUbic Yards Cubic Feet
  • Cubic Inches Gallons 0.
  • Cubic Feet Gallons 7.
  • Gallons Cubic Inches
  • Gallons Cubic Feet 0.
  • Gallons Pounds of Water 8.
  • Pounds of Water Gallons 0.
  • Ounces Pounds 0.
  • Pounds Ounces
  • Inches of Water Pounds per Sq. Inch 0.
  • Inches Millimeters 25.
  • Millimeters Inches 0.
  • Feet Meters.
  • Meters Feet 3.
  • Yards Meters.
  • Meters Yards 1.
  • Miles Kilometers 1.
  • Kilometers Miles.
  • Sq. Inches Sq. Centimeters 6.
  • Sq. Centimeters Sq. Inches.
  • Sq. Feet Sq. Meters.
  • Sq. Meters Sq. Feet 10.
  • Sq. Meters Sq. Yards 1.
  • Acres Hectares.
  • Hectares Acres 2.
  • Acres Sq. Kilometers.
  • Sq. Kilometers Acres 247.
  • Inches of Water Inches of Mercury 0. - Inches of Water Ounces per Sq. Inch 0. TO CONVERT TO MULTIPLY BY - Inches of Water Pounds per Sq. Foot 5. - Inches of Mercury Inches of Water - Inches of Mercury Feet of WAter 1. - Inches of Mercury Pounds per Sq. Inch 0. - Ounces per Sq. Inch Inches of Mercury 0. - Ounces per Sq. Inch Inches of Water 1. - Pounds per Sq. Inch Inches of Water - Pounds per Sq. Inch Feet of Water 2. - Pounds per Sq. Inch Inches of Mercury 2. - Pounds per Sq. Inch Atmospheres 0. - Feet of Water Pounds per Sq. Inch 0. - Feet of WAter Pounds per Sq. Foot - Feet of Water Inches of Mercury 0. - Atmospheres Pounds per Sq. Inch - Atmospheres Inches of Mercury - Atmospheres Feet of Water - Long Tons Pounds - Short Tons Pounds - Short Tons Long Tons 0. - Sq. Miles Sq. Kilometers 2. - Sq. Kilometers Sq. Miles. - Cubic Inches Cubic Millimeters - cubic Millimeters Cubic Inches. - Cubic Inches Cubic Centimeters 16. - Cubic Centimeters Cubic Inches. - Cubic Feet Cubic Meters. - Cubic Meters CUbic Feet 35. - Cubic Yards Cubic Meters. - Cubic Meters Cubic Yards 1. - Grams Centigrams 6. - Centigrams Grams. - Ounces Grams 31. - Grams Ounces. - Pounds Kilograms. - Kilograms Pounds 2. - Tons(2000#) Metric Tons. - Metric Tons Tons (2000#) 1.
  • KiloMeter (km) 1000 -- 3281 1094. Hectometer (hm) 100 3937 328.1 109.4 --
  • Hectare (ha) 10,000 -- -- -- 2. Are (a) 100 -- 1076 119.6 --
  • Sq. Kilometer 1,000,000 -- -- -- 247. - Desistere (ds) .1 6102.3 3.531. Cu. Decimeter .001 61.023 -- -- - Stere (s) 1 61023 35.31 1. - Cu. Meter 1 61023 35.31 1. - Decastere (dks) 10 -- 352.1 13. - Hectogram (hg) 100 1543 3.527. Decagram (dkg) 10 154.3 .3527 -- - Kilogram (kg) 1000 -- 35.27 2. - Quintal (q) 100,000 -- 3527 220. - Metric Ton 1,000,000 -- -- 2204.

GENERAL INFORMATION

PAGE 91

To find circumference of circle,

multiply diameter by 3.

To find diameter of a circle,

multiply circumference by.

To find area of a circle,

multiply square of diameter by.

Area of a rectangle equals length multiplied by breadth.

Doubling the diameter of a circle

increases its area four times.

To find a area of a triangle,

multiply base by 1/2 perpendicular height.

Area of elipse equals

product of both diameters times.

Area of a parallelogram equals base times altitude.

To find side of an inscribed square, multiply diameter

by 0.7071 or multiply circumference

by 0.2251 or divide circumference by 4.

Side of inscribed cube.

equals radius of sphere times 1.

To find side of an equal square,

multiply diameter by.

Square: A side multiplied by 1.4142 equals diameter

or its circumscribing circle.

A side multiplied by 4.443 equals the

circumference of its circumscribing circle.

A side multiplied by 1.128 equals diameter

of an equal circle.

A side multiplied by 3.547 equals

circumference of and equal circle.

FLOW:

1 gal. per min = 0.134 cu. ft. per min.

= 500 lb. per hr. x sp. gr.

500 lb. per hr. = 1 gal per min % sp. gr.

1 cu. ft. per min. =448.8 gal. per hr.

PRESSURE:

1 lb. per sq. in. = 2.31 ft. water at 60°F.

= 2.04 in. hg at 60°F.

1 ft. water at 60°F = 0.4333 lb. per eq. in.

= 0.0884 in. hg at 60°F

1 in. hg at 60°F = 0.49 lb. per eq. in.

= 1.13 ft. water at 60°F

1 lb. per sq. in. = lb. per eq. in. gauge

+14.7 Absolute

To find cubic inches in a ball,

multiply cube of diameter by.

To find cubic contents of a cone,

multiply area of base by 1/3 the altitude.

Surface of frustrum of cone or pyramid equals sum of

circumference of both ends times 1/2 slant

height plus area of both ends.

To find contents of frustrum of cone or pyramid

multiply area of two ends and get square root.

Add the two areas and times 1/3 altitude.

Doubling the diameter of a pipe increases

its capacity four times.

A gallon of water (U.S. Standard) weighs 8.33 lbs.

and contains 231 cubic inches

A cubic foot of water contains 7.50 gallons,

1728 cubic inches, and weighs 62.41 lbs.

To find the pressure in pounds per square inch of a col

umn of water, multiply the height of the column

in feet by .434.

Steam rising from water at its boiling point (212°F) has a

pressure equal to the atmosphere (14.7 lbs. to

the square inch).

A standard horse power: The evaporation of 30 lbs. or

water per hour from a feed water temperature of

100°F into steam at 70 lbs. gauge pressure.

To find capacity (in U.S. gallons) of tanks any size,

given dimensions of a cylinder in inches, square

the diameter, multiply by the length and by

To ascertain heating surface in tubular boilers,

multiply 2/3 the circumference of boiler by

length of boiler in inches and add it to the area

of all the tubes.

TEMPERATURE:

°C = ( °F-32) x.

°F = C(1.8) +

VOLUME:

1 gal (U.S.) = 128 fl. oz. (U.S.)

= 231 cu. in.

= 0.833 gal. (Brit.)

1 cu. ft. = 7.48 gal. (U.S)

MASS:

1 lb. (avoir) = 16 oz. (avoir)

= 7000 grain

1 ton (short) = 2000 lb.

1 ton (long) = 2240 lb.