Find cube volume, surface area, and space diagonal from side length
Result
Cube Volume
Step-by-Step Derivation
Cube Volume Formula
V = s³
A cube has equal length, width, and height. Because all three dimensions are the same, volume is found by multiplying the side length by itself three times.
⚠Side length must be positive. Volume is reported in cubic units, while diagonal uses the original length unit.
How Cube Volume Works
A cube is a special rectangular prism with six equal square faces. One side length determines every major measurement of the solid.
Side Length
Every edge of a cube has length s.
Volume
The inside space is s cubed.
Surface Area
Six square faces give 6s².
Space Diagonal
Corner-to-corner distance is s√3.
💡 Example: For s=5, V=5³=125, surface area=150, and diagonal=8.66.
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