Calculator Input
Plotly Graph
This graph compares box dimensions against the computed volume.
Example Data Table
| Example | Length | Width | Height | Unit | Volume | Surface Area | Diagonal |
|---|---|---|---|---|---|---|---|
| Storage Box A | 2 | 3 | 4 | m | 24 m³ | 52 m² | 5.3852 m |
| Lab Container B | 50 | 30 | 20 | cm | 30000 cm³ | 6200 cm² | 61.6441 cm |
| Shipping Box C | 18 | 12 | 10 | in | 2160 in³ | 912 in² | 23.7487 in |
Formula Used
Volume: V = L × W × H
Surface Area: A = 2(LW + LH + WH)
Space Diagonal: d = √(L² + W² + H²)
Density: ρ = m / V
Mass: m = ρ × V
This calculator treats the box as a rectangular prism. It multiplies length, width, and height to find volume. It also calculates surface area and the longest internal diagonal. If you enter mass or density, the tool derives the missing physical quantity using standard physics relationships.
How to Use This Calculator
- Enter the box length, width, and height.
- Select the unit that matches your dimensions.
- Optionally add mass or density for extra physics outputs.
- Click Calculate Volume to see the results.
- Review the result cards, full table, and chart.
- Download the current output as CSV or PDF.
Frequently Asked Questions
1. What shape does this calculator use?
It uses a rectangular box, also called a cuboid or rectangular prism. All three dimensions meet at right angles.
2. What is the main volume formula?
The calculator uses volume = length × width × height. All dimensions must use the same input unit for correct output.
3. Can I use metric and imperial units?
Yes. You can choose millimeters, centimeters, meters, inches, or feet. The tool also converts the final volume into several common units.
4. Why does the calculator show liters too?
Liters are useful for liquids, tanks, and storage capacity. One cubic meter equals one thousand liters.
5. What does the space diagonal mean?
The space diagonal is the longest straight line inside the box. It runs between two opposite corners.
6. What happens if I enter mass?
If mass is entered, the calculator estimates density from the computed volume. This is useful in material and storage analysis.
7. What happens if I enter density?
If density is entered, the calculator multiplies density by volume. That gives the estimated mass in kilograms.
8. Can I download my results?
Yes. The page includes CSV and PDF export buttons for the current result table. This makes recordkeeping much easier.