Enter the box length (in), the box width (in), and the box height (in) into the Box Volume Calculator. The calculator will evaluate and display the Box Volume.
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Box Volume Formula
The volume of a rectangular box is found by multiplying its length, width, and height. If you already know the volume and two dimensions, you can rearrange the same formula to find the missing dimension.
- V = box volume
- L = box length
- W = box width
- H = box height
The calculator uses inches and cubic inches as its internal base units. Length, width, and height entries are converted to inches before the formula is applied. The final answer is then converted back into the unit you selected.
- To calculate volume: enter length, width, and height. The calculator multiplies the three dimensions.
- To calculate length: enter volume, width, and height. The calculator divides volume by width times height.
- To calculate width: enter volume, length, and height. The calculator divides volume by length times height.
- To calculate height: enter volume, length, and width. The calculator divides volume by length times width.
Common Box Volume Unit Conversions
Use these values to understand how the selected units relate to each other.
| Unit | Equivalent |
|---|---|
| 1 foot | 12 inches |
| 1 centimeter | 0.393701 inches |
| 1 meter | 39.3701 inches |
| 1 cubic foot | 1,728 cubic inches |
| 1 cubic centimeter | 0.0610237 cubic inches |
| 1 cubic meter | 61,023.7 cubic inches |
Typical Box Volume Reference Values
| Box Dimensions | Volume in Cubic Inches | Volume in Cubic Feet |
|---|---|---|
| 6 in × 6 in × 6 in | 216 in³ | 0.125 ft³ |
| 12 in × 12 in × 12 in | 1,728 in³ | 1 ft³ |
| 18 in × 12 in × 12 in | 2,592 in³ | 1.5 ft³ |
| 24 in × 18 in × 18 in | 7,776 in³ | 4.5 ft³ |
Example Problems
Example 1: Calculate box volume
You have a box that is 20 inches long, 12 inches wide, and 10 inches high.
The box volume is 2,400 cubic inches.
Example 2: Calculate missing height
You know a box has a volume of 6 cubic feet. The length is 3 feet and the width is 2 feet.
The missing height is 1 foot.
FAQ
What dimensions do I use for box volume?
Use the inside length, inside width, and inside height if you need usable storage capacity. Use the outside dimensions if you need shipping size, package size, or space the box takes up.
Why do length, width, and height need matching units?
The dimensions must represent the same measurement scale before multiplying them. The calculator handles this by converting all length measurements to inches first, then converting the result into your selected volume unit.
Is box volume the same as capacity?
Box volume is the total three-dimensional space based on length, width, and height. Capacity usually means how much the box can actually hold. If the box has thick walls, rounded corners, packing material, or an irregular interior, the usable capacity may be slightly less than the calculated rectangular volume.
