Cube Volume Calculator
Find the volume of a cube from its edge length, plus surface area, space diagonal, and total edge length.
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Input
Enter the edge length of a cube to compute its volume, surface area, space diagonal, and total edge length at once.
Result
Volume a³
64
Surface area 6a²
96
Space diagonal a√3
6.928203
Total edge length 12a
48
Lengths use the same unit as your input. Surface area is in squared units and volume is in cubed units.
How it works
- Volume is the edge length cubed. V = a × a × a = a³, expressed in cubic units of the input length.
- Surface area sums the six square faces, so S = 6a², expressed in square units of the input length.
- The space diagonal connects the two farthest opposite corners and equals d = a√3, where √3 is about 1.732.
- The total edge length is the sum of all twelve edges of the cube, which equals 12a.
- Enter a positive number for the edge. Zero, negative, or non numeric values cannot be calculated.
Frequently asked questions
- How do I calculate the volume of a cube?
- Cube the edge length a: V = a × a × a = a³. The result is in cubic units of the length you entered.
- How is a cube different from a rectangular box?
- A cube has three equal edges, so its volume needs only a³ from one input, while a rectangular box uses different length, width, and height as a × b × c. A cube is simply a box with all edges equal.
- Does it also show the space diagonal and surface area?
- Yes. The surface area is S = 6a² for the six square faces, and the space diagonal connecting the farthest vertices is d = a√3 (√3 ≈ 1.732). The total edge length of all 12 edges is 12a.
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