Cube Calculator
Calculate volume, surface area, and diagonals of a cube.
Volume = s^3\nSurface Area = 6 * s^2\nFace Area = s^2\nFace Diagonal = s * sqrt2\nSpace Diagonal = s * sqrt3
Example:\nSide = 5 cm\n\nVolume = 5^3 = 125 cm^3\nSurface Area = 6 * 5^2 = 150 cm^2\nFace Area = 5^2 = 25 cm^2\nFace Diagonal = 5sqrt2 = 7.07 cm\nSpace Diagonal = 5sqrt3 = 8.66 cm
What is a cube?
A 3D shape with 6 equal square faces, 12 equal edges, and 8 vertices. All angles are 90 degrees.
How do you find cube volume?
Volume = side * side * side = s^3. Example: a cube with 5 cm sides has volume 5^3 = 125 cm^3.
What is surface area?
The total area of all 6 faces. Surface Area = 6 * s^2. Each face is a square with area s^2.
What is space diagonal?
The longest diagonal inside the cube, connecting opposite corners. Formula: ssqrt3.
What is face diagonal?
Diagonal across one square face. Formula: ssqrt2, using Pythagorean theorem.
🔗 Related Calculators
📐 Formula
Volume = s^3\nSurface Area = 6 * s^2\nFace Area = s^2\nFace Diagonal = s * sqrt2\nSpace Diagonal = s * sqrt3
📝 Example Calculation
Example:\nSide = 5 cm\n\nVolume = 5^3 = 125 cm^3\nSurface Area = 6 * 5^2 = 150 cm^2\nFace Area = 5^2 = 25 cm^2\nFace Diagonal = 5sqrt2 = 7.07 cm\nSpace Diagonal = 5sqrt3 = 8.66 cm
❓ Frequently Asked Questions
What is a cube?▼
A 3D shape with 6 equal square faces, 12 equal edges, and 8 vertices. All angles are 90 degrees.
How do you find cube volume?▼
Volume = side * side * side = s^3. Example: a cube with 5 cm sides has volume 5^3 = 125 cm^3.
What is surface area?▼
The total area of all 6 faces. Surface Area = 6 * s^2. Each face is a square with area s^2.
What is space diagonal?▼
The longest diagonal inside the cube, connecting opposite corners. Formula: ssqrt3.
What is face diagonal?▼
Diagonal across one square face. Formula: ssqrt2, using Pythagorean theorem.