Overview
A cube is a three-dimensional solid with equal edges and six congruent square faces. Its volume and surface area are simple to compute because both depend on a single dimension: the side length.
Formula
Volume = s³, surface area = 6s², and space diagonal = s√3.
How it works
Enter the side length
All edges of a cube are equal.
Compute the volume
Raise the side to the third power.
Compute the surface area
Multiply the side squared by 6.
Compute the diagonals
Face diagonal = s√2 and space diagonal = s√3.
Worked examples
Example 1: side 3
Volume 27, surface area 54, space diagonal ≈ 5.1962.
Example 2: side 10
Volume 1000, surface area 600, space diagonal ≈ 17.3205.
Frequently asked questions
How do I find the side from the volume?
s = the cube root of the volume.
What is the difference between face and space diagonals?
A face diagonal lies within one square face, while a space diagonal joins opposite vertices through the solid.
Is the surface area six times one face?
Yes, because a cube has six congruent square faces.
This calculator is for educational and informational purposes only and is not a substitute for professional advice.