Basic Mathematical Formulas 
 
 
 
 
Distance 
1 foot = 12 inches 
1 yard = 3 feet 
1 mile = 5,280 feet 
1 mile ≈ 1.61 kilometers 
1 inch = 2.54 centimeters 
1 foot = 0.3048 meters 
1 meter = 1,000 millimeters 
1 meter = 100 centimeters 
1 kilometer = 1,000 meters 
1 kilometer ≈ 0.62 miles 
 
Area 
1 square foot = 144 square inches 
1 square yard = 9 square feet 
1 acre = 43,560 square feet 
 
Volume 
1 cup = 8 fluid ounces 
1 quart = 4 cups 
1 gallon = 4 quarts 
1 gallon = 231 cubic inches 
1 liter ≈ 0.264 gallons 
1 cubic foot = 1,728 cubic inches 
1 cubic yard = 27 cubic feet 
1 board foot = 1 inch by 12 inches by 12 inches 
 
Weight 
1 ounce ≈ 28.350 grams 
1 pound = 16 ounces 
1 pound ≈ 453.592 grams 
1 milligram = 0.001 grams 
1 kilogram = 1,000 grams 
1 kilogram ≈ 2.2 pounds 
1 ton = 2,000 pounds 
 
Rectangle 
perimeter =  2(length + width) 
area =  length x width 
 
Rectangular Solid (Box) 
volume = length x width x height
 
Cube 
volume =  (length of side)3 
 
Triangle 
sum of angles = 180° 
area = ½ (base x height)
 
Circle 
number of degrees in a circle = 360° 
circumference ≈  3.14 x diameter 
area ≈  3.14 x (radius)2 
 
Cylinder 
volume ≈  3.14 x (radius)2 x height 
 
Cone 
volume ≈    
 
Sphere (Ball) 
volume ≈   4/3 x 3.14 x (radius)3 
 
Electricity 
1 kilowatt-hour = 1,000 watt-hours 
amps = watts ÷ volts 
 
Temperature 
  °C =  0.56(°F  32) or  5/9(°F  32) 
  °F = 1.8(°C) + 32 or ( 9/5  x °C) + 32
 
 
 
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