GeometryFormula

Cube Practice Problems

15 cube problems with full worked solutions, graded from warm-up to stretch — plus an unlimited supply you can generate yourself. Every answer is computed by the same verified function that powers the cube explorer, so the solutions cannot disagree with the formulas. Free, no account, nothing to install.

Formulas you need

  • Volume: V=s3V = s^3
  • Surface area: SA=6s2SA = 6s^2
  • Space diagonal: d=s3d = s\sqrt{3}

where s = edge length, V = volume, SA = surface area

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Pick a difficulty, work it out, then check your answer. Every press gives a new question — the numbers are drawn fresh each time, so you can keep going.

Warm-up

  1. A cube has side length s = 3. Find the volume (V).

    Answer & working

    27 units³

    V = s³ = 3³ = 27

  2. A cube has side length s = 2. Find the surface area (SA).

    Answer & working

    24 units²

    SA = 6s² = 6 · 2² = 24

  3. A cube has side length s = 1. Find the space diagonal (d).

    Answer & working

    1.73 units

    space diagonal = s√3 = 1 · 1.7321 ≈ 1.73

  4. A cube has side length s = 1. Find the volume (V).

    Answer & working

    1 units³

    V = s³ = 1³ = 1

  5. A cube has side length s = 1. Find the surface area (SA).

    Answer & working

    6 units²

    SA = 6s² = 6 · 1² = 6

Core practice

  1. A cube has side length s = 9. Find the volume (V).

    Answer & working

    729 units³

    V = s³ = 9³ = 729

  2. A cube has side length s = 8. Find the surface area (SA).

    Answer & working

    384 units²

    SA = 6s² = 6 · 8² = 384

  3. A cube has side length s = 6. Find the space diagonal (d).

    Answer & working

    10.39 units

    space diagonal = s√3 = 6 · 1.7321 ≈ 10.39

  4. A cube has side length s = 6. Find the volume (V).

    Answer & working

    216 units³

    V = s³ = 6³ = 216

  5. A cube has side length s = 7. Find the surface area (SA).

    Answer & working

    294 units²

    SA = 6s² = 6 · 7² = 294

Stretch

  1. A cube has side length s = 9.5. Find the volume (V).

    Answer & working

    857.38 units³

    V = s³ = 9.5³ ≈ 857.38

  2. A cube has side length s = 1.5. Find the surface area (SA).

    Answer & working

    13.5 units²

    SA = 6s² = 6 · 1.5² = 13.5

  3. A cube has side length s = 1.5. Find the space diagonal (d).

    Answer & working

    2.6 units

    space diagonal = s√3 = 1.5 · 1.7321 ≈ 2.6

  4. A cube has side length s = 4.5. Find the volume (V).

    Answer & working

    91.13 units³

    V = s³ = 4.5³ ≈ 91.13

  5. A cube has side length s = 5.5. Find the surface area (SA).

    Answer & working

    181.5 units²

    SA = 6s² = 6 · 5.5² = 181.5

Answers are recomputed from the verified cube function every time this page is built, and every printed line is checked to evaluate correctly. Content last reviewed August 2026. Found a mistake? Tell us — we correct and republish.

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