Cube Calculator
Derive cube volume, surface area and space diagonal from one edge length.
Cube Calculator
Derive cube volume, surface area and space diagonal from one edge length.
How to use the Cube Calculator
- Enter the edge length.
- Click Calculate.
Formula
Volume = a³
Surface area = 6a²
Space diagonal = a√3
Example
Edge 4: Volume = 64. Surface area = 96. Diagonal ≈ 6.928.
Step-by-step calculation
- Volume: 4³ = 64.
- Surface area: 6 × 4² = 96.
- Diagonal: 4 × √3 ≈ 6.928.
Real-world uses
- Box and container sizing.
- Dice and game piece calculations.
- Shipping volume estimation.
Common mistakes
- Using a² instead of a³ for volume.
- Forgetting there are 6 faces in surface area.
- Confusing face diagonal with space diagonal.
Frequently asked questions
What is the space diagonal?
The diagonal from one corner to the opposite corner through the interior of the cube.
What is the face diagonal?
The diagonal across one face: a√2. For edge 4: ≈ 5.657.
Can I find the edge from the volume?
Yes. Edge = ∛Volume. For volume 64: ∛64 = 4.