Surface Area Calculator
This surface area calculator calculates the surface area of a sphere, cube, cylinder, pyramid, cone, and rectangular and triangular prism.
The same volume in other units
| Unit | Volume |
|---|---|
| liter | 3,000 l |
| milliliter | 3,000,000 ml |
| cubic meter | 3 m³ |
| cubic foot | 105.944 ft³ |
| cubic yard | 3.9239 yd³ |
| cubic inch | 183,071.23 in³ |
| gallon (US) | 792.5162 gal |
| gallon (imperial) | 659.9077 gal |
The formulas
- Box:
V = length × width × height - Upright cylinder:
V = π r² h - Sphere:
V = 4/3 π r³ - Cone:
V = ⅓ π r² h— exactly a third of the cylinder that would enclose it - Capsule: a cylinder plus one whole sphere, since the two hemispherical ends make a sphere between them
A tank lying on its side
This is the one that is not intuitive. The volume of liquid is not proportional to the depth: a horizontal cylinder half full is exactly half its capacity, but a quarter of the depth is only about 19% of the volume, because the cross-section is widest in the middle. The calculation uses the area of the circular segment below the fill line.
Volumes and capacity
One cubic metre is exactly 1,000 litres, and one litre is exactly 1,000 cm³. The US and imperial gallons are different sizes — 3.785 l and 4.546 l — so a “gallon” tank means different things either side of the Atlantic.
For a real container, subtract the wall thickness: external dimensions overstate the usable capacity.