Volume Calculator
Enter dimensions in the linear unit for m³.
| Property | Value |
|---|---|
| Volume | 8 |
| Surface area | 24 |
Volume Formulas for 3D Shapes
Volume measures three-dimensional space occupied by a solid, in cubic units (m³, cm³, ft³, L, gal). Each shape tab uses the standard geometric formula for that solid. Results are computed in cubic meters and converted to your chosen display unit.
A cube with edge s has V = s³. A rectangular box has V = lwh. A sphere has V = (4/3)πr³. A cylinder has V = πr²h. A cone has V = (1/3)πr²h — exactly one-third the volume of a cylinder with the same base and height. A pyramid has V = (1/3) × base area × height.
An ellipsoid with semi-axes a, b, c has V = (4/3)πabc. A hemisphere (half sphere) has V = (2/3)πr³. A triangular prism has V = (1/2) × base × height × length. A torus (donut shape) with major radius R and tube radius r has V = 2π²Rr².
Where applicable, surface area is shown alongside volume: for example a sphere has SA = 4πr² and a cylinder has SA = 2πr(r+h). Select metric (m³, cm³, L) or imperial (ft³, in³, gal) units from the dropdown.
Pick your shape, enter the required dimensions, and copy the results for engineering, shipping, chemistry lab work, or construction estimating.
Examples
| Example | Result |
|---|---|
| Cube edge 3 | V = 27 |
| Sphere r=2 | V ≈ 33.51 |
| Cylinder r=2, h=5 | V ≈ 62.83 |
| Box 2×3×4 | V = 24 |
Frequently asked questions
A cone is exactly one-third the volume of a cylinder with the same base and height.
R is the distance from the center to the tube centerline; r is the tube radius.
Yes, for shapes where a closed-form surface area formula exists.