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Cube Volume & Surface Area Calculator

A cube is a regular hexahedron bounded by six congruent square faces meeting at right angles.

Length of any single edge of the cube.

Calculated Result
216 cu units

Cube Volume

Cube Volume

216 cu units

Total Surface Area

216 sq units

Space (Body) Diagonal

10.392 units

Face Diagonal

8.485 units

Edge Length

6 units

Calculation Breakdown

  1. Volume FormulaV = s³ = (6)³ = 216.000 cubic units.
  2. Surface Area FormulaSA = 6 × s² = 6 × (6)² = 216.000 square units.
  3. Space Diagonal Formulad = s × √3 = 6 × 1.73205 = 10.392 units.

Volume vs Surface Area Growth Across Cube Edge Sizes

Interactive visualization based on your current inputs

Value
0.0128256384512s = 2 (V: 8, SA: 24)s = 4 (V: 64, SA: 96)s = 6 (V: 216, SA: 216)s = 8 (V: 512, SA: 384)Edge Size (s)Numeric Value

What Is the Cube Volume & Surface Area Calculator?

A cube volume calculator evaluates three-dimensional capacity and enclosure area for regular hexahedrons.

How Does the Cube Volume & Surface Area Calculator Work?

Applies exponentiation of the uniform edge dimension across 1D, 2D, and 3D geometric formulas.

Cube Volume & Surface Area Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

V = s³ · SA = 6s² · Space Diagonal d = s√3

Cubes the side length for volume, multiplies face area by 6 for surface area, and applies 3D Pythagorean theorem for interior space diagonal.

How to Use the Cube Volume & Surface Area Calculator

  1. Provide the linear length of a single edge in uniform units.

Step-by-Step Example Calculation

Cube with edge length 6

Input Values:

sideLength:6

Understanding Your Result

Shows cubic volume, total square surface area, and interior diagonal measurements.

Factors That Affect the Result

  • Uniform edge length scaling.

When Should You Use This Calculator?

  • Packaging box sizing, shipping freight, material density calculations, and physics.

Assumptions & Limitations

  • Applies to perfect orthogonal cubes.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Exact mathematical algebraic evaluation.

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