What this calculator does
Cubic volume is simply the space a rectangular object or container occupies, found by multiplying its three dimensions together. It comes up constantly outside a maths classroom: sizing a shipping crate, working out how much a storage tub holds, or checking whether furniture will fit through a doorway with room in a van behind it.
The tricky part is rarely the multiplication itself, it is keeping units straight when a tape measure gives centimetres but the answer needs to be in cubic metres or litres. This calculator takes one consistent unit for all three measurements and converts the result across the units people actually need it in.
The formula
Multiply length by width by height to get volume, in whatever unit those measurements were taken in cubed. Converting to a different unit, such as centimetres to cubic metres, requires converting the linear measurement first and then cubing it, not cubing the original number and converting afterwards, which is the mistake this calculator avoids by doing the conversion up front.
| Term | Meaning |
|---|---|
| Cubic volume | The three-dimensional space enclosed by a box shape: length × width × height. |
| m³ (cubic metre) | The volume of a cube one metre on each side, the standard metric unit for larger volumes. |
| Litre | A unit of volume equal to one thousandth of a cubic metre, commonly used for liquids and smaller containers. |
The inputs explained
| Field | What to enter |
|---|---|
| Length | The length of the box or space, in the unit chosen below. |
| Width | The width, measured in the same unit as length. |
| Height | The height, measured in the same unit as length and width. |
| Unit of the measurements entered | The unit that the length, width and height above are measured in. |
When to use it
Sizing a shipping crate or pallet
Freight is frequently quoted or billed by cubic volume, so converting the outer dimensions of a crate into cubic metres gives the figure a freight quote will actually be based on.
Working out how much a container holds
A garden bed, water tank or storage tub built from straight sides has a volume that follows the same length × width × height rule, converted into litres for anything holding liquid or loose material.
Checking furniture will fit a space
Comparing the cubic volume of an item against the available space rules out an obvious size mismatch before moving day, even though a close result still needs checking against the actual shape.
Worked examples
Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.
How cubic volume scales as one dimension grows
A fixed 2 m by 1.5 m base, with height increasing.
| Height | Cubic volume | In cubic feet | In litres |
|---|---|---|---|
| 0.5 m | 1.500 m³ | 52.97 ft³ | 1,500.0 L |
| 1 m | 3.000 m³ | 105.94 ft³ | 3,000.0 L |
| 1.5 m | 4.500 m³ | 158.92 ft³ | 4,500.0 L |
| 2 m | 6.000 m³ | 211.89 ft³ | 6,000.0 L |
| 2.5 m | 7.500 m³ | 264.86 ft³ | 7,500.0 L |
| 3 m | 9.000 m³ | 317.83 ft³ | 9,000.0 L |
Questions
Does this work for any box-shaped object?
Yes, as long as the object is a simple rectangular prism, meaning all faces meet at right angles. Irregular or rounded shapes need a different formula for their specific geometry.
Why does converting centimetres to cubic metres involve dividing by more than 100?
Because the conversion factor gets cubed along with the dimension. One metre is 100 centimetres, but one cubic metre is 100 × 100 × 100, or one million, cubic centimetres, which is why an answer in cubic centimetres looks far larger than the same volume in cubic metres.
How do litres relate to cubic metres?
One cubic metre equals exactly 1,000 litres, since a litre is defined as one thousandth of a cubic metre. This is the same relationship as a cubic decimetre equalling one litre.
What if my object is not a perfect rectangular box?
This calculator gives the volume of the smallest rectangular box that would fully enclose the object's length, width and height, which is useful for shipping or clearance checks but will overstate the true volume of an irregular shape.
For area rather than volume calculations, see the octagon calculator and other geometry tools on the site.