Cube Calculator

Calculate volume, surface area, diagonals, and all cube properties with multiple input methods

Calculate Cube Properties

Choose Input Method

Length Unit

Side

Cube Properties

0.0000

Volume (cm³)

V = a³

0.0000

Surface Area (cm²)

SA = 6a²

0.0000

Side Length (cm)

Edge of cube

0.0000

Face Diagonal (cm)

f = a√2

0.0000

Space Diagonal (cm)

d = a√3

0.0000

Face Perimeter (cm)

0.0000

Total Edge Length (cm)

0.0000

SA/V Ratio (1/cm)

Calculation Details

Formula used: V = a³, SA = 6a²

Calculated side length: a = 0.0000 cm

Volume: a³ = 0.0000 cm³

Surface area: 6a² = 0.0000 cm²

Face diagonal: a√2 = 0.0000 cm

Space diagonal: a√3 = 0.0000 cm

Example Calculation

Example: Rubik's Cube with side length 5.7 cm

Given: Side length a = 5.7 cm

Volume calculation: V = a³ = 5.7³ = 185.19 cm³

Surface area calculation: SA = 6a² = 6 × 5.7² = 194.94 cm²

Face diagonal: f = a√2 = 5.7 × √2 = 8.06 cm

Space diagonal: d = a√3 = 5.7 × √3 = 9.87 cm

Key Cube Formulas

Volume: V = a³

Surface Area: SA = 6a²

Face Diagonal: f = a√2

Space Diagonal: d = a√3

Total Edge Length: L = 12a

Face Perimeter: P = 4a

Cube Properties

Faces

All square faces of equal size

Edges

All edges have equal length

Vertices

Corner points where edges meet

Available Input Methods

Side Length (a)

Length of any edge of the cube

Volume (V)

Amount of space inside the cube

Surface Area (SA)

Total area of all six faces

Face Diagonal (f)

Diagonal across any square face

Space Diagonal (d)

Diagonal through the cube's interior

Applications

✓

Packaging and shipping boxes

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Dice and gaming cubes

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Storage containers

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Building blocks and construction

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Material calculations

Understanding Cubes

What is a Cube?

A cube is a three-dimensional solid object bounded by six square faces, with three faces meeting at each vertex. It's a special case of a rectangular prism where all edges have equal length. The cube is the only regular hexahedron and is one of the five Platonic solids.