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Math Calculators

Diagonal of Cube Calculator

Verified formula Updated Jun 2026 Private — runs on your device

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Verified formula Private

Space diagonal

8.660254

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Diagonal of Cube Calculator

The Diagonal of Cube Calculator works out your space diagonal in an instant. Enter side length and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the side length.
  2. Read off your space diagonal — the calculator updates automatically, with no button to press.

Formula

The Diagonal of Cube Calculator uses the formula:

Space diagonal = Side length × √(3)

Worked example

For example, with side length of 5, the space diagonal is 8.660254.

Inputs used
Side length 5
Results
Space diagonal 8.660254

Results are estimates for educational use, not professional advice.

Frequently asked questions

Multiply the side by √3. A side of 5 gives a space diagonal of about 8.66.

It is the longest line through the cube, from one corner to the opposite corner.

It extends the Pythagorean theorem across three equal dimensions of the cube.

A face diagonal is side × √2 across one face; the space diagonal is side × √3 through the cube.

The Diagonal of Cube Calculator uses the formula: Space diagonal = Side length × √(3). For example, with side length of 5, the space diagonal is 8.660254.

Enter the side length. Read off your space diagonal — the calculator updates automatically, with no button to press.

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