Volume of a Cube Calculator
Calculate the volume, surface area, face diagonal, and space diagonal of a cube from its side length. See also Volume of Rectangular Prism Calculator and Volume of Cylinder Calculator.
How to Calculate the Volume of a Cube
To find the volume of a cube, measure the length of any edge — all edges of a cube are equal. Cube that length (multiply it by itself three times) to get the volume. The surface area is six times the square of the side length, since a cube has six identical square faces. This calculator also computes the face diagonal and space diagonal.
Cube Volume Formula
V = s³
SA = 6 × s²
Face Diagonal = s × √2
Space Diagonal = s × √3
Example
Find the volume of a cube with side length 5:
V = s³
V = 5³
V = 125 cubic units
SA = 6 × 5² = 6 × 25 = 150 square units
Cube Volume Reference Table
| Side | Volume | Surface Area | Space Diagonal |
|---|---|---|---|
| 1 | 1 | 6 | 1.7321 |
| 2 | 8 | 24 | 3.4641 |
| 3 | 27 | 54 | 5.1962 |
| 4 | 64 | 96 | 6.9282 |
| 5 | 125 | 150 | 8.6603 |
| 6 | 216 | 216 | 10.3923 |
| 7 | 343 | 294 | 12.1244 |
| 8 | 512 | 384 | 13.8564 |
| 9 | 729 | 486 | 15.5885 |
| 10 | 1000 | 600 | 17.3205 |
| 12 | 1728 | 864 | 20.7846 |
| 15 | 3375 | 1350 | 25.9808 |
| 20 | 8000 | 2400 | 34.6410 |
| 25 | 15625 | 3750 | 43.3013 |
| 50 | 125000 | 15000 | 86.6025 |
Frequently Asked Questions
What is the volume of a cube?
The volume of a cube is the total three-dimensional space enclosed within its six square faces. Since all edges are equal, the volume is simply the side length cubed: V = s³.
What is the difference between a cube and a rectangular prism?
A cube is a special case of a rectangular prism where all three dimensions (length, width, height) are equal. A rectangular prism can have different values for each dimension.
What is the space diagonal of a cube?
The space diagonal connects two opposite corners of the cube, passing through its interior. It equals s√3, where s is the side length. For a cube with side 5, the space diagonal is 5√3 ≈ 8.6603.
How do I find the side length from the volume?
Take the cube root of the volume: s = ∛V. For example, if V = 125, then s = ∛125 = 5.