Geometry

Cube Volume Calculator

Calculate cube volume, surface area, face diagonal, and space diagonal from edge length with instant unit conversions.

Cube Edge / Side Length (a)

Primary Output Volume Unit

Cube Geometry

V = a³ • A = 6a²

Cube Calculation Results

Decimals:

Volume in M3Live Output

8m3

Additional Computed Dimensions

Total Surface Area

24 m²

Face Diagonal

2.8284 m

Space Diagonal (Corner to Corner)

3.4641 m

Equivalent Standard Volume Units

Liters (L)

8,000 l

Cubic Centimeters (cm³)

8,000,000 cm3

Cubic Feet (ft³ / cu ft)

282.5173 ft3

Cubic Inches (in³)

488,189.9528 in3

Cubic Yards (yd³)

10.4636 yd3

US Liquid Gallons (gal)

2,113.3764 us_gal

Imperial Gallons (UK gal)

1,759.754 imp_gal

Mathematical Formula & Step-by-Step Derivation

SI Normalized Math

General Formula:

V = a³ = a × a × a

Live Calculation With Your Input Values:

11. Cube Volume Formula

Formula: V = a³

Substituted: V = (2 m)³

Step Result: V = 8 m3

Normalized in SI: (2 m)³ = 8 m³

22. Total Surface Area

Formula: A = 6a²

Substituted: A = 6 × (2 m)²

Step Result: A = 24 m²

33. Space Diagonal

Formula: d = a√3

Substituted: d = 2 × √3

Step Result: d = 3.4641 m (3.4641 m)

How to Calculate the Volume of a Cube

A cube is a regular three-dimensional solid with six identical square faces, twelve equal edges, and eight vertices. Because all sides are equal in length (a), calculating the volume requires simply cubing the side length.

Measure any single edge length (a).
Multiply the edge length by itself three times (a × a × a).
To calculate total surface area, multiply the area of one square face (a²) by 6: A = 6a².
To calculate the 3D space diagonal, multiply the side length by the square root of 3: d = a√3.