Cube Calculator (V = a³)
Cube volume, surface and diagonal: V = a³, A = 6a², d = √3·a.
- Example: a = 4 cm → V = 64 cm³, A = 96 cm², d = 6.93 cm.
- Free tool.
Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.
How the Cube Calculator Works
Six square faces give the surface, three edges meet per corner for the space diagonal. Worked example: a = 4 cm → V = 64 cm³, A = 6 × 16 = 96 cm², space diagonal d = 4√3 = 6.93 cm; face diagonal is 4√2 = 5.66 cm.
- 1
Enter the edge a
One measurement fixes the cube.
- 2
Calculate
Volume, surface and both diagonals instantly.
- 3
Convert
cm³ ↔ L, in³ ↔ US gal as needed.
Use Cases
Boxing, crates and shipping cube rates
Dice, sugar cubes and ice block volumes
Concrete for cubic molds and piers
3D printing filament estimates
Tips
- 1
√3 ≈ 1.732 for space, √2 ≈ 1.414 for face diagonals
- 2
a = ∛V recovers the edge from volume
- 3
Double the edge → 8× volume, 4× surface
Common Mistakes
Using 6a for surface (missing the square)
a² for volume (that is one face)
Confusing face and space diagonals
cm³ to L conversion (÷1000, not ÷100)
FAQs
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