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Cube Volume And Surface Area Calculator

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

About Cube Volume And Surface Area Calculator

A cube of edge a has volume a³, six identical square faces giving surface area 6a², and a space diagonal a√3 running corner to opposite corner.

Formulas

Volume

V = a³

Surface area

S = 6a²

Space diagonal

d = a√3

Worked example

With the default values below, Cube Volume And Surface Area Calculator returns Volume of 64.0000. Change any input above and every figure here is recalculated in your browser.

Inputs used

Edge lengthminimum 0
4
Number of cubesminimum 1
1

Results

Volume
64.0000
Surface area
96.0000
Space diagonal
6.9282
Combined volume
64.0000

Step by step

  1. 1Values used
  2. 2Volume
  3. 3Surface area
  4. 4Space diagonal
  5. 5Volume= 64.0000
  6. 6Surface area= 96.0000
  7. 7Space diagonal= 6.9282
  8. 8Combined volume= 64.0000

Assumptions and limits

  • The result is derived only from the 2 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

Edge 4 gives what volume?

4³ = 64 cubic units, with surface area 6 × 16 = 96 square units.

Why a√3 for the diagonal?

Apply Pythagoras twice: the face diagonal is a√2, then combine with the third edge to get √(2a² + a²) = a√3.

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