CONVERSIONS & FORMULAS

Area of a square:
Area = length x width, or length of one side (x) squared x2

Area of a rectangle:
Area = length x width

Area of a triangle:
Area = 1/2 x base x perpendicular height

Area of a pentagon (5 sides):
Area = square of the length of one side x 1.720

Area of a hexagon (6 sides):
Area = square of the length of one side x 2.598

Area of an octagon (8 sides):
Area = square of the length of one side x 4.828

Area of a cube:
Area = square of the length of one side x 6

Area of a sphere:

Area = square of the diameter x pi (3.1416)

Area of a circle:
Area = square of the radius x pi (3.1416)

Area of an ellipse:

Area = long diameter x short diameter x 0.7854

Circumference of a circle:
Circumference = diameter x pi (3.1416)

Volume of a cube:
Volume = cube (x3) of the length (x) of one side

Volume of a pyramid:
Volume = Area of the base x height x 1/3

Volume of a cylinder:
Volume = square of the radius (r2) of the base x pi (3.1416) x height

Volume of a sphere:
Volume = cube of the radius (r3) x I(3.1416) x 4/3

Volume of a cone:
Volume = square of the radius (r2) of the base x pi (3.1416) x height x 1/3

Volume of a rectangular solid: 
Volume = length x width x height

WHEN YOU KNOW LENGTH:

LENGTH You can find: If you multiply by:
inches millimeters 25
feet centimeters 30
yards meters 0.9
miles kilometers 1.6
millimeters inches 0.04
centimeters inches 0.4
meters yards 1.1
kilometers miles 0.6

WHEN YOU KNOW AREA:

AREA You can find: If you multiply by:
square inches square centimeters 6.5
square feet square meters 0.09
square yards square meters .08
square miles square kilometers 2.6
acres square hectometers 0.4
square centimeters square inches 0.16
square meters square yards 1.2
square kilometers square miles 0.4
square hectometers acres 2.5

WHEN YOU KNOW MASS:

MASS You can find: If you multiply by:
ounces grams 28
pounds kilograms 0.45
short tons megagrams (metric tons) 0.9
grams ounces 0.035
kilograms pounds 2.2
megagrams (metric tons) short tons 1.1

WHEN YOU KNOW LIQUID VOLUME:

LIQUID VOLUME You can find: If you multiply by:
ounces milliliters 30
pints liters 0.47
quarts liters 0.95
gallons liters 3.8
milliliters ounces 0.034
liters pints 2.1
liters quarts 1.06
liters gallons 0.26

CUBIC MEASURES

1,000 cu. milliliters (mm3) = 1 cu. Centimeter (cm3)

1,000 cu. centimeters = 1 cu. Decimeter (dm3)

1,000 cu. decimeters = 1 cu. Meter (ml) =1 stere