Cuboid volume
Cuboid volume V = a·b·c: enter length, width and depth to get the volume plus base area, surface area, face diagonal and space diagonal; values are rounded to 6 decimals and any non-positive edge is rejected.
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Result
One quantity per line, ready to copy.
Enter a length to calculate
What this tool does
- Check the volume of a box or package and get the surface area for cardboard, paint or film estimates.
- Compare volume against surface for different dimension sets to find the cheapest shape.
- Verify the formulas: surface 2(ab+bc+ca), space diagonal √(a²+b²+c²).
Example
Input
1
Output
长 1 宽 1 高 1 的长方体体积：1 底面积 a·b：1 表面积 2(ab+bc+ca)：6 面对角线 √(a²+b²)：1.414214 体对角线 √(a²+b²+c²)：1.732051 长度单位 u，面积 u²，体积 u³
For 2×3×4 the volume is 24, the surface 52, the face diagonal √13 ≈ 3.605551 and the space diagonal 5 — all exact.
Frequently asked questions
Is a cube a special case?
Yes — set all three values equal and you get a cube: volume a³ and surface 6a².
What is the space diagonal for?
It is the straight-line distance between two opposite corners inside the box, useful for fitting a long pole or a tilted item. For 2×3×4 it is exactly 5.
What if one edge is 0?
It reports an error. With a zero edge the cuboid flattens into a plane and the volume is 0 — the formula still evaluates but the answer is meaningless, so non-positive input is rejected.
Keywords：长方体体积cuboid volume长方体表面积几何计算box volume