Boxes, rooms, tanks and shipping cartons are all rectangular prisms.
How to use the Box Volume Calculator
- Length
- Width
- Height
- Want to work backwards? Type a value into Volume and Height is calculated for you.
Results update as you type, and every field accepts the units shown in its menu.
How it works
Multiply the three dimensions for volume and add the areas of the six faces for surface area.
Inputs explained
| Field | What to enter |
|---|---|
| Length | Units: m, cm, mm, km, in, ft … |
| Width | Units: m, cm, mm, km, in, ft … |
| Height | Units: m, cm, mm, km, in, ft … |
What each result means
- Volume = [Length]×[Width]×[Height]
- Surface area = 2×([Length]×[Width] + [Length]×[Height] + [Width]×[Height])
- Space diagonal = sqrt([Length]^2 + [Width]^2 + [Height]^2)
Example values
How the main result changes when Height changes and everything else stays at the example values above:
| Height (m) | Volume (m³) |
|---|---|
| 0.5 | 1.5 |
| 0.75 | 2.25 |
| 1 | 3 |
| 1.25 | 3.75 |
| 1.5 | 4.5 |
| 2 | 6 |
Formula
V = l × w × hSurface area = 2(lw + lh + wh)Worked example
Inputs — Length: 2 m; Width: 1.5 m; Height: 1 m.
Results — Volume = 3 m³; Surface area = 13 m²; Space diagonal = 2.69 m.
Frequently asked questions
How do I convert to litres?
Choose L in the volume unit menu; 1 m³ = 1,000 L.
Will a long object fit?
Compare its length with the space diagonal.
What formula does the Box Volume Calculator use?
V = l × w × h.
Can I work backwards from the result?
Yes. Type the result you want into Volume and the calculator finds the matching height.