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
