Surface Area
Measures the outside covering of a shape. It tells you how much material touches the exterior.
Convert between 30+ volume units across metric, imperial, US customary, cooking, and industrial systems.
Volume is the amount of three-dimensional (3D) space an object occupies or a container can hold, measured in cubic units such as cubic meters (m³), cubic centimeters (cm³), liters (L), or US gallons (gal). Volume quantifies capacity — how much material, liquid, or gas fits inside a defined boundary.
Volume differs from area. Area measures two-dimensional (2D) surface coverage in squared units (m², cm²), while volume measures three-dimensional (3D) enclosed space in cubed units (m³, cm³). Adding depth (a third dimension) to a flat surface creates volume.
The SI unit for volume is the cubic meter (m³). One cubic meter equals 1,000 liters (L), 1,000,000 cubic centimeters (cm³), 35.3147 cubic feet (ft³), or 264.172 US gallons (gal). For everyday liquids, the liter (L) and milliliter (mL) are most practical: 1 L = 1,000 mL = 1,000 cm³ exactly.
Volume is measured in cubic units for solids and capacity units for liquids. The metric system uses cubic meters (m³), liters (L), and milliliters (mL). The US customary and Imperial systems use cubic feet (ft³), US gallons (gal), fluid ounces (fl oz), cups, pints, and quarts. Cooking uses tablespoons (tbsp) and teaspoons (tsp).
Key conversion: 1 liter (L) = 1,000 milliliters (mL) = 1,000 cubic centimeters (cm³) = 1 cubic decimeter (dm³). One US gallon = 3.785 liters. One Imperial gallon = 4.546 liters (about 20% larger than a US gallon).
| Unit | Symbol | System | Equals (Liters) | Equals (m³) |
|---|
Calculate volume by identifying the 3D shape, measuring its dimensions, and applying the correct formula. Every volume formula multiplies three dimensions together (or their equivalent), producing a result in cubic units. A cube uses V = a³, a rectangular prism uses V = l × w × h, a cylinder uses V = πr²h, and a sphere uses V = (4/3)πr³.
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Four simple steps to calculate the volume of any 3D shape with precision.
35 free volume calculation tools — click any calculator to get started.
Measure regular solids (cubes, spheres, cylinders) by taking dimensions with a ruler or caliper and applying geometric volume formulas.
For irregular solids, use water displacement: submerge the object in a graduated cylinder and measure the rise in water level. The displaced volume in mL equals the object’s volume in cm³ (1 mL = 1 cm³).
Pour the liquid into a graduated container — a graduated cylinder, beaker, or measuring cup — and read the measurement at the meniscus (the curved liquid surface) at eye level.
Common liquid units: milliliters (mL), liters (L), US fluid ounces (fl oz), cups, pints, quarts, gallons. 1 L = 1,000 mL = 33.814 US fl oz = 0.264 US gal.
Gas volume depends on temperature and pressure. Gases expand to fill their container, so volume is measured at standard conditions: STP = 0°C (273.15 K), 1 atm (101.325 kPa).
Use the ideal gas law: PV = nRT, where P = pressure, V = volume, n = moles of gas, R = gas constant (8.314 J/(mol·K)), T = temperature in Kelvin.
A rectangle is a 2D shape with area = length × width (measured in squared units like cm²). A rectangular prism (box) is a 3D shape with volume = length × width × height (measured in cubed units like cm³). Adding height to a rectangle creates a box.
Surface area measures the total area covering the outside of a 3D object, expressed in squared units (m², cm²). Volume measures the space inside that object, expressed in cubed units (m³, cm³). Surface area determines how much paint covers an object; volume determines how much the object holds.
Measures the outside covering of a shape. It tells you how much material touches the exterior.
Measures the space inside a shape. It tells you how much a container can hold.
| Property | Surface Area | Volume |
|---|---|---|
| Measures | Outside covering | Inside space |
| Units | cm², m², ft² | cm³, m³, ft³, L |
| Cube (side a) | 6a² | a³ |
| Sphere (radius r) | 4πr² | (4/3)πr³ |
| Cylinder (r, h) | 2πr(r + h) | πr²h |
| Example (10 cm cube) | 600 cm² | 1,000 cm³ |
| Real-world use | Painting, wrapping, heating | Filling, storing, capacity |
Answers to the most common volume questions