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Cubic Inches Calculator

Calculate the volume of a box in cubic inches, with cubic feet, cubic centimeters, liters and US gallons.

What this tool does

Calculate the volume of a box in cubic inches, with cubic feet, cubic centimeters, liters and US gallons. You fill in these fields: Length, Length unit, Width, Width unit, Height, and Height unit. It shows volume, cubic feet, cubic centimeters, liters, and US liquid gallons.

Inputs

  • Length: A number. Must be greater than 0.
  • Length unit: Choose one: Inch (in), Foot (ft), Yard (yd), Centimeter (cm), Millimeter (mm), Meter (m). Starts as Inch (in).
  • Width: A number. Must be greater than 0.
  • Width unit: Choose one: Inch (in), Foot (ft), Yard (yd), Centimeter (cm), Millimeter (mm), Meter (m). Starts as Inch (in).
  • Height: A number. Must be greater than 0.
  • Height unit: Choose one: Inch (in), Foot (ft), Yard (yd), Centimeter (cm), Millimeter (mm), Meter (m). Starts as Inch (in).

How to use

  1. Enter the length.
  2. Choose an option for "Length unit".
  3. Enter the width.
  4. Choose an option for "Width unit".
  5. Enter the height.
  6. Choose an option for "Height unit".
  7. Read the result: volume, cubic feet, cubic centimeters, liters, and US liquid gallons. It appears once every required field has a valid value.

Worked examples

Example 1. Inputs:

  • Length: 12
  • Length unit: Inch (in)
  • Width: 10
  • Width unit: Inch (in)
  • Height: 8
  • Height unit: Inch (in)

Results:

  • Volume: 960 in³
  • Cubic feet: 0.555556 ft³
  • Cubic centimeters: 15,731.58144 cm³
  • Liters: 15.731581 L
  • US liquid gallons: 4.155844 gal (US)

How this is worked out: Box volume V = length x width x height. 12 x 10 x 8 = 960 cubic inches.

Example 2. Inputs:

  • Length: 1
  • Length unit: Foot (ft)
  • Width: 1
  • Width unit: Foot (ft)
  • Height: 1
  • Height unit: Foot (ft)

Results:

  • Volume: 1,728 in³
  • Cubic feet: 1 ft³
  • Cubic centimeters: 28,316.846592 cm³
  • Liters: 28.316847 L
  • US liquid gallons: 7.480519 gal (US)

How this is worked out: 1 ft = 12 in, so each side is 12 in. V = 12 x 12 x 12 = 1728 cubic inches. This is one cubic foot.

Example 3. Inputs:

  • Length: 1
  • Length unit: Meter (m)
  • Width: 1
  • Width unit: Meter (m)
  • Height: 1
  • Height unit: Meter (m)

Results:

  • Volume: 61,023.744095 in³
  • Cubic feet: 35.314667 ft³
  • Cubic centimeters: 1,000,000 cm³
  • Liters: 1,000 L
  • US liquid gallons: 264.172052 gal (US)

How this is worked out: 1 in = 0.0254 m exactly, so 1 m = 1 / 0.0254 in. 1 cubic inch = 0.0254^3 m^3 = 0.000016387064 m^3 (NIST SP 811), so 1 m^3 = 1 / 0.000016387064 = 61023.744 cubic inches to three decimals.

Example 4. Inputs:

  • Length: 2.54
  • Length unit: Centimeter (cm)
  • Width: 2.54
  • Width unit: Centimeter (cm)
  • Height: 2.54
  • Height unit: Centimeter (cm)

Results:

  • Volume: 1 in³
  • Cubic feet: 0.000578704 ft³
  • Cubic centimeters: 16.387064 cm³
  • Liters: 0.0163871 L
  • US liquid gallons: 0.004329 gal (US)

How this is worked out: 1 in = 2.54 cm exactly, so each 2.54 cm side is 1 inch. V = 1 x 1 x 1 = 1 cubic inch.

Where this comes from

The volume of a box. V = l x w x h, for a rectangular box with length l, width w and height h. Source: The volume of a rectangular box (a cuboid) is the product of its three edge lengths. Euclidean geometry, as in any school geometry text.

Limitations

  • Works for rectangular boxes only. Round, angled or irregular shapes are not supported.
  • Uses the outside measurements you enter. It does not subtract wall thickness or empty space inside.
  • Every side must be greater than 0.

FAQs

Q: Do I need to convert my measurements first?
A: No. Pick the unit beside each side, and the sides are converted before the volume is worked out.
Q: Can I use a different unit for each side?
A: Yes. Each side has its own unit, so a box measured in feet and inches can be entered as it was measured.
Q: Why is the volume shown in other units too?
A: They are the same volume written in other units, so you do not have to convert it yourself.
Q: Does it work for round or irregular shapes?
A: No. It works for rectangular boxes only, where the volume is length times width times height.

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