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Cube Calculator

Compute side, surface area, volume, and diagonals of a cube from any one measurement.

Cube formulas

VolumeV = s3
Surface areaSA = 6s2
Face diagonals√2
Space diagonals√3
Side from volumes = ∛V

Where s = edge length

Worked examples

  1. A cube has 5 cm edges. Find its volume, surface area and diagonals.

    1. V = 53 = 125
    2. SA = 6 × 25 = 150
    3. Face diagonal = 5√2 ≈ 7.071, space diagonal = 5√3 ≈ 8.660

    Answer: V = 125 cm³, SA = 150 cm²

  2. A cube holds 64 in³. Find its surface area.

    1. s = ∛64 = 4
    2. SA = 6 × 42 = 96

    Answer: 96 in²

Tips & common mistakes

  • Doubling the edge multiplies the surface area by 4 and the volume by 8.