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Math Calculators

Sum of Cubes Calculator (1³ to n³)

Verified formula Updated Jun 2026 Private — runs on your device

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Verified formula Private

Sum of cubes

100

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

How to use the Sum of Cubes Calculator (1³ to n³)

The Sum of Cubes Calculator (1³ to n³) works out your sum of cubes in an instant. Enter up to n 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 up to n.
  2. Read off your sum of cubes — the calculator updates automatically, with no button to press.

Formula

The Sum of Cubes Calculator (1³ to n³) uses the formula:

Sum of cubes = pow(Up to n × (Up to n + 1) ÷ 2, 2)

Worked example

For example, with up to n of 4, the sum of cubes is 100.

Inputs used
Up to n 4
Results
Sum of cubes 100

Results are estimates for educational use, not professional advice.

Frequently asked questions

It is (n(n+1)/2)². For n = 4, the cubes 1, 8, 27, 64 sum to 100.

The sum of the first n cubes equals the square of the sum of the first n numbers.

(5 × 6 ÷ 2)² = 15² = 225.

Yes. The formula gives the answer in one step for any n.

The Sum of Cubes Calculator (1³ to n³) uses the formula: Sum of cubes = pow(Up to n × (Up to n + 1) ÷ 2, 2). For example, with up to n of 4, the sum of cubes is 100.

Enter the up to n. Read off your sum of cubes — the calculator updates automatically, with no button to press.

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