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Geometry & Practical Projects

Cuboid Volume Calculator

Calculate the volume, surface area and space diagonal of a rectangular box (cuboid), with capacity in litres.

Your inputs

Results

Volume

24 m³

Surface area
52 m²
Space diagonal
5.385165 m
In litres
24,000 L

✓Exact calculation — rounded only for display

What this calculator does

A cuboid is any rectangular box: rooms, boxes, aquariums and containers. Find its volume, surface area and the longest straight line that fits inside.

Formula and method

Volume = l × w × h; Surface = 2(lw + lh + wh); Diagonal = √(l² + w² + h²)

Worked example

Calculated by this tool with its default inputs:

Inputs

  • Length unit: Metres
  • Length: 2
  • Width: 3
  • Height: 4

Results

  • Volume: 24 m³
  • Surface area: 52 m²
  • Space diagonal: 5.385165 m
  • In litres: 24,000 L

How to read the results

Room volume is useful for heating, ventilation and air purifier sizing.

Assumptions and limitations

  • Use one length unit consistently; areas are in square units and volumes in cubic units of that length.

Quantities and costs are planning estimates. Add sensible allowances, and check with suppliers, carriers or professionals before buying, shipping or building.

Questions

How many litres is 1 m³?

1000 litres.

Methodology and verification

Result type
Exact mathematical calculation (rounded only for display)
Formula version
1.0
Automated verification
2 reference and validation test cases, checked against independently computed values. The site cannot be built if any of them fail.
Editorial review
Awaiting human editorial review. The explanation was drafted with AI assistance; the formula and examples are verified by the automated tests above.

Privacy

Everything you enter is calculated in this browser and is not sent to Numerith or anyone else. Inputs are added to a share link only if you choose to include them. Privacy policy