Cuboid Calculator
Calculate volume, surface area and space diagonal of a rectangular cuboid.
About Cuboid Calculator
A cuboid (rectangular prism) has three pairs of rectangular faces. Volume = l×w×h, surface area = 2(lw + lh + wh), space diagonal = √(l²+w²+h²).
Formulas
Volume
V = l × w × h
- l
- Length
- w
- Width
- h
- Height
Surface Area
SA = 2(lw + lh + wh)
- l
- Length
- w
- Width
- h
- Height
Worked example
With the default values below, Cuboid Calculator returns Volume of 120.0000. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Lengthminimum 0 units
- 8 units
- Widthminimum 0 units
- 5 units
- Heightminimum 0 units
- 3 units
Results
- Volume
- 120.0000 cu units
- Total Surface Area
- 158.0000 sq units
- Space Diagonal
- 9.8995 units
Step by step
- 1Volume= 120
- 2Surface area= 158
- 3Space diagonal= 9.8995
Assumptions and limits
- The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
Is a cube a special cuboid?
Yes — a cube is a cuboid where all three dimensions are equal.
How do I find dimensions from volume alone?
You cannot — volume alone does not uniquely determine the three dimensions. You need at least two of the three.