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Cuboid Volume And Surface Area Calculator

Work out cuboid volume and surface area instantly with clear inputs, formula shown and shareable results.

About Cuboid Volume And Surface Area Calculator

A cuboid has three pairs of rectangular faces, so its surface area is 2(lw + lh + wh) while the volume is the straightforward product l × w × h.

Formulas

Volume

V = l × w × h

Surface area

S = 2(lw + lh + wh)

Space diagonal

d = √(l² + w² + h²)

Worked example

With the default values below, Cuboid Volume And Surface Area Calculator returns Volume of 72.0000. Change any input above and every figure here is recalculated in your browser.

Inputs used

Lengthminimum 0
6
Widthminimum 0
4
Heightminimum 0
3

Results

Volume
72.0000
Surface area
108.0000
Space diagonal
7.8103
Total edge length
52.0000

Step by step

  1. 1Values used
  2. 2Volume
  3. 3Surface area
  4. 4Space diagonal
  5. 5Volume= 72.0000
  6. 6Surface area= 108.0000
  7. 7Space diagonal= 7.8103
  8. 8Total edge length= 52.0000

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

6 × 4 × 3 gives what values?

Volume 72, surface area 2(24 + 18 + 12) = 108, space diagonal √61 ≈ 7.8102.

How many edges does a cuboid have?

Twelve — four of each dimension, hence the 4(l + w + h) total.

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