What this tool does
Calculate the volume of a box in cubic feet, with cubic inches, cubic yards, cubic meters and liters. You fill in these fields: Length, Length unit, Width, Width unit, Height, and Height unit. It shows volume, cubic inches, cubic yards, cubic meters, and liters.
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 Foot (ft).
- 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 Foot (ft).
- 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 Foot (ft).
How to use
- Enter the length.
- Choose an option for "Length unit".
- Enter the width.
- Choose an option for "Width unit".
- Enter the height.
- Choose an option for "Height unit".
- Read the result: volume, cubic inches, cubic yards, cubic meters, and liters. 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: 0.555556 ft³
- Cubic inches: 960 in³
- Cubic yards: 0.0205761 yd³
- Cubic meters: 0.0157316 m³
- Liters: 15.731581 L
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 ft³
- Cubic inches: 1,728 in³
- Cubic yards: 0.037037 yd³
- Cubic meters: 0.0283168 m³
- Liters: 28.316847 L
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: 35.314667 ft³
- Cubic inches: 61,023.744095 in³
- Cubic yards: 1.307951 yd³
- Cubic meters: 1 m³
- Liters: 1,000 L
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: 0.000578704 ft³
- Cubic inches: 1 in³
- Cubic yards: 0.0000214335 yd³
- Cubic meters: 0.0000163871 m³
- Liters: 0.0163871 L
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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