Volume Calculator
Pick a 3D shape, enter the dimensions, and we’ll compute the volume instantly. Designed to be faster than browsing formula tables.
1. Select shape & unit
2. Enter dimensions
All dimensions must use the same unit you selected above.
3. Result
Volume: —
Shown in cubic cm. Make sure all inputs use the same unit.
Liters: — | US gal: —
Formula
V = l × w × h
Volume: recap
In solid geometry, volume measures the space a 3D object occupies. For regular solids, we have closed-form formulas; for irregular objects we normally have to integrate or approximate.
Most used formulas
- Cube: \( V = a^3 \)
- Rectangular prism: \( V = lwh \)
- Cylinder: \( V = \pi r^2 h \)
- Cone: \( V = \frac{1}{3} \pi r^2 h \)
- Sphere: \( V = \frac{4}{3} \pi r^3 \)
- Square pyramid: \( V = \frac{1}{3} b^2 h \)
- Triangular prism: \( V = \frac{1}{2} b h_t \cdot L \)
- Torus: \( V = 2 \pi^2 R r^2 \)
Units & conversions
1 dm³ = 1 L, 1 m³ = 1000 L, 1 US gallon ≈ 3.78541 L. So once you get the volume in cubic cm (cm³), divide by 1000 to get liters.