Volume Formulas
Volume is measured in cubic units, and 1,000 cm³ is exactly 1 liter.
Formulas
| Solid | Volume |
|---|---|
| Cube | s³ |
| Rectangular prism | l × w × h |
| Any prism | base area × height |
| Cylinder | πr²h |
| Sphere | (4/3)πr³ |
| Hemisphere | (2/3)πr³ |
| Cone | (1/3)πr²h |
| Pyramid | (1/3) × base area × h |
| Frustum of a cone | (1/3)πh(R² + Rr + r²) |
Volume and capacity
| Volume | Capacity |
|---|---|
| 1 cm³ | 1 mL |
| 1,000 cm³ (1 dm³) | 1 L |
| 1 m³ | 1,000 L |
| 1 in³ | 16.387 mL |
| 231 in³ | 1 US gallon |
| 1 ft³ | 28.317 L ≈ 7.48 US gal |
Example
A cylindrical tank, radius 0.5 m, height 1.2 m
- V = π × 0.5² × 1.2
- = 0.3π ≈ 0.942 m³
≈ 942 liters.