Cube — Volume + Surface Area
Cube: V = s³, SA = 6s², body diagonal = s√3. All three properties from edge length.
Result
Volume
125.0000
s³ = 5³ = 125.0000. SA = 6s² = 150.0000.
- Edge (s)5
- Volume (s³)125.000000
- Surface area (6s²)150.000000
- Body diagonal (s√3)8.660254
- Face diagonal (s√2)7.071068
Step-by-step
- V = s³ = 5³ = 125.0000.
- SA = 6s² = 6 × 25.0000 = 150.0000.
- Body diagonal = s√3 = 5 × 1.732051 = 8.6603.
How to use this calculator
- Enter the edge length.
- Read volume, surface area, and diagonals.
About this calculator
A cube is the regular hexahedron — six identical square faces, twelve equal edges, eight vertices. Volume V = s³. Surface area SA = 6s². Body diagonal (corner-to-opposite-corner through interior) = s√3. Face diagonal (corner-to-corner of one face) = s√2. Source: standard solid-geometry textbook (Coxeter, "Regular Polytopes"; Stewart, "Calculus" Ch. 14). The cube is a Platonic solid and tiles space perfectly with no gaps.
Frequently asked
V = s³. Three perpendicular dimensions, each of length s.
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