Determining Capacity & Volume

Volume Formulas

Rectangle or Cube Shape
Length X Width X Height

Example: Length is 72", the width is 48", and the height is 60"
72" x 48" x 60" = 207,360 cubic inches

Cylinder Shape
pi X radius squared X Height

Example: Diameter is 48" across so the radius is 24", the height is 72" tall, and pi is 3.1416
3.1416 X 24" squared or 576 X 72" = 130,288 cubic inches

Cone Shape
1/3 X pi X radius squared X Height

Example: Diameter is 48" across so the radius is 24", the height is 72" tall, and pi is 3.1416
1/3 or .3333 X 3.1416 X 24" squared or 576 X 72" = 43,425 cubic inches

Sphere or Circle Shape
4/3 X pi X radius cubed

Example: Diameter is 48" across so the radius is 24", pi is 3.1416, and 4/3 is 1.3333
1.333 X 3.1416 X 24” cubed or 13,824 = 57,761 cubic inches

Converting Results

1 US Gallon = 231 Cubic Inches
(207,360 cubic inches divided by 231 = 47,817 Gals)

1 Liter = 61.0237 Cubic Inches
(130,288 cubic inches divided by 61.0237 = 2.13 Liters)

More Common Conversions

1 US Gallon = 8.35 LBS of water

1 Cubic Foot = 7.5 Gallons of water

1 Cubic Foot = 12”x12”x12” or 1728 cubic inches

1 US Gallon = 3.785 Liters