Volume Calculator

Select a Shape
Formula
V = a³
Calculated Volume
0
cubic centimeters (cm³)
Interactive 3D Visualization
Shape
Cube
Surface Area
Unit Converter

Volume Unit Converter

Convert between 30+ volume units across metric, imperial, US customary, cooking, and industrial systems.

1 Liter = 1000 Milliliters
Popular Conversions
Definition

What is Volume?

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.

📐 Interactive: From Length to Area to Volume
1D — Length
meters (m)
2D — Area
square meters (m²)
3D — Volume
cubic meters (m³)
Units & Conversions

Volume Units and Conversion Table

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).

Filter:
UnitSymbolSystemEquals (Liters)Equals (m³)
Formulas

How to Calculate Volume?

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.

🧮 Interactive Formula Explorer — Click a shape to see its formula

Cube

V = a³
Shape Calculators

Volume Calculator for Every Shape

Click any shape to calculate its volume instantly with the calculator above

How It Works

How to Calculate Volume

Four simple steps to calculate the volume of any 3D shape with precision.

1
🔷
Choose a Shape
Select from 14 geometric shapes including cubes, spheres, cylinders, cones, and more.
2
📏
Enter Dimensions
Input the measurements like radius, height, length, or width in your preferred unit.
3
🧮
See the Calculation
Watch the interactive 3D diagram update in real-time as the formula computes your volume.
4
🔄
Convert Units
Instantly convert the result to any of 30+ volume units including liters, gallons, and more.
All Tools

Volume Calculators & Converters

35 free volume calculation tools — click any calculator to get started.

Measurement Methods

Measuring the Volume of Solids, Liquids, and Gases

Solids

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).

Liquids

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.

Gases

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.

Key Distinction

Rectangle vs Rectangular Prism (Box)

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.

Rectangle (2D)
Area = l × w
Measured in cm², m², ft²
vs
Rectangular Prism (3D)
Volume = l × w × h
Measured in cm³, m³, ft³
Applications

Real-Life Applications of Volume

🏗️

Construction & Engineering

Calculate concrete volume for foundations (V = l × w × h), pipe capacity for plumbing (V = πr²h), and room volume for HVAC system sizing.
🍳

Cooking & Baking

Convert between cups, tablespoons (tbsp), teaspoons (tsp), milliliters (mL), and liters (L). Scale recipes by adjusting ingredient volumes proportionally.
📦

Shipping & Logistics

Determine container volume to optimize packing. Shipping costs are based on dimensional weight: volume ÷ a divisor factor. A standard 20-ft container holds 33.2 m³.
🔬

Science & Medicine

Measure dosage volumes in mL for medications. Calculate organ volumes from MRI scans (e.g., liver ≈ 1,500 cm³). Use water displacement in chemistry labs.
🚨

Fuel & Energy

Measure fuel tank capacity in liters (L), US gallons (gal), or oil barrels (bbl). One oil barrel = 158.987 liters = 42 US gallons.
🏡

Home & Garden

Calculate soil volume for raised garden beds, water capacity for pools and aquariums, and paint volume needed for walls (based on surface area).
💧

Water Resources

Measure reservoir capacity in acre-feet (ac·ft). One acre-foot = 1,233.48 m³ = 325,851 US gallons — roughly a family of four’s annual water use.
🏀

Sports & Recreation

Calculate ball volumes for sports equipment. An Olympic swimming pool holds 2,500 m³ (2.5 million liters). A basketball has a volume of 7,236 cm³.
Comparison

Volume vs Surface Area

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.

2D

Surface Area

Measures the outside covering of a shape. It tells you how much material touches the exterior.

3D

Volume

Measures the space inside a shape. It tells you how much a container can hold.

PropertySurface AreaVolume
MeasuresOutside coveringInside space
Unitscm², m², ft²cm³, m³, ft³, L
Cube (side a)6a²
Sphere (radius r)4πr²(4/3)πr³
Cylinder (r, h)2πr(r + h)πr²h
Example (10 cm cube)600 cm²1,000 cm³
Real-world usePainting, wrapping, heatingFilling, storing, capacity
FAQ

Frequently Asked Questions About Volume

Answers to the most common volume questions

Reference

Common Volume Units at a Glance

Metric (SI)

  • mm³ — Cubic Millimeter
  • cm³ — Cubic Centimeter
  • — Cubic Meter (SI)
  • mL — Milliliter
  • L — Liter

US Customary

  • fl oz — US Fluid Ounce
  • cup — US Cup
  • pt — US Pint
  • qt — US Quart
  • gal — US Gallon

Imperial

  • in³ — Cubic Inch
  • ft³ — Cubic Foot
  • yd³ — Cubic Yard
  • Imp gal — Imperial Gallon
  • Imp pt — Imperial Pint

Cooking & Industrial

  • tbsp — Tablespoon (US)
  • tsp — Teaspoon (US)
  • bbl — Oil Barrel
  • CCF — 100 Cubic Feet
  • ac·ft — Acre-Foot