Cube V-A-D Calculator — Volume, Surface Area & Diagonal
Enter the side length of a cube and instantly compute all its geometric properties: volume (V), total surface area (A), space diagonal (D), face diagonal and total edge length.
units
V = s³ — the amount of space inside the cube
V
216- 1
Square the side
6 × 6 = 36 - 2
Cube the side (Volume)
36 × 6 = 216V = s³ — multiply the side by itself three times.
How does this calculator work?
From the side length s of a cube: Volume = s³, Surface Area = 6s², Face Diagonal = s√2, Space Diagonal = s√3. All five key properties follow from a single measurement. Enter s above to see every value instantly, with a 3-D visual of the cube.
Formula
How this is calculated
A cube is the most symmetrical 3-D solid — all 12 edges are equal in length s, all 6 faces are identical squares, and all 8 corners are right-angle vertices. From that single measurement s, every geometric property follows directly.
Volume (V = s³) measures the space inside. Surface area (SA = 6s²) is the total exterior area — six square faces each of area s². The face diagonal crosses one square face corner to corner: s√2, derived from the Pythagorean theorem on a right triangle with two legs of length s. The space diagonal runs through the interior of the cube from one corner to the opposite corner: s√3, found by applying Pythagoras again using the face diagonal and the third edge (√((s√2)² + s²) = √(3s²) = s√3). Total edge length is 12 edges × s.
All results are in consistent units: if s is in metres, volume is m³, surface area is m², and diagonals are metres. Checking all five properties at once is useful in engineering (sizing a container), packaging design, crystal structure problems and exam preparation.
Frequently asked questions
The space diagonal of a cube is the longest straight line through the cube — from one corner to the diametrically opposite corner. Its length is s√3, where s is the side length. For a cube with s = 4, the space diagonal is 4√3 ≈ 6.928 units.
The face diagonal connects two opposite corners of a single square face and has length s√2. The space diagonal passes through the interior of the cube (not just a face) and has length s√3, which is longer.
Find the side: s = 125^(1/3) = 5. Then SA = 6 × 5² = 150 square units.
Also known as
TG we-Calculate Editorial Team. (2026). Cube V-A-D Calculator — Volume, Surface Area & Diagonal [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/cube-v-a-d-calculator
TG we-Calculate Editorial Team. "Cube V-A-D Calculator — Volume, Surface Area & Diagonal." TG we-Calculate. 2026. https://we-calculate.com/calculator/cube-v-a-d-calculator.
TG we-Calculate Editorial Team, "Cube V-A-D Calculator — Volume, Surface Area & Diagonal," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/cube-v-a-d-calculator
@misc{wecalculate_cube_v_a_d_calculator, title = {Cube V-A-D Calculator — Volume, Surface Area & Diagonal}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/cube-v-a-d-calculator}}, year = {2026}, note = {TG we-Calculate} }
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