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Formula

Formula: Volume Conversion Calculator
Show calculation steps (1)
  1. Normalization to cubic meters

    Normalization to cubic meters: Volume Conversion Calculator

    Intermediate step: express the quantity in the SI base unit (m^3) before converting to the target unit.

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Results

Converted Value
0.2641720524
in the selected To-unit
Equivalent in cubic meters 0.001 m3
Method value x factor(from) / factor(to)

What this calculator does

This Volume Conversion Calculator converts a quantity of volume from one unit to another across metric units (cubic meter, liter, milliliter, deciliter, microliter, cubic centimeter), US customary units (fluid and dry gallons, quarts, pints, cups, ounces, gills, tablespoons, teaspoons, barrels, bushels, pecks), Imperial (UK) units, Canadian kitchen units, and special units such as the acre-foot, cord, hogshead and petroleum barrel. It is a universal physics/units tool that works the same everywhere, although it intentionally includes both US and Imperial customary systems, which are different sizes.

Comparison of common volume units shown as containers of different sizes
Common volume units compared by relative size, from milliliter to cubic meter.

How to use it

Enter your Value, pick the From unit and the To unit, and read the converted result. The calculator also shows the equivalent in cubic meters so you can see the intermediate normalization.

The formula explained

Every unit is stored as a factor equal to its size in cubic meters (the SI base unit for volume). The conversion is a single ratio: $$\text{result} = \text{value} \times \dfrac{f_{\text{from}}}{f_{\text{to}}}$$ First the input is converted to cubic meters (\(\text{value} \times f_{\text{from}}\)), then divided by the To-unit factor. There are no offsets, so converting a unit to itself returns the value unchanged.

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Diagram showing the conversion formula using a base factor pivot
Each unit converts through a shared base factor, so value times from-factor divided by to-factor gives the result.

Worked example

Convert 1 liter to US fluid gallons. \(f_{\text{liter}} = 0.001\ \text{m}^3\) and \(f_{\text{gallon US fluid}} = 0.003785411784\ \text{m}^3\). So $$\text{result} = 1 \times \frac{0.001}{0.003785411784} = 0.26417205236\ \text{US gallons}$$ matching the well-known fact that 1 US gallon = 3.785411784 liters.

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Cube with one-meter edges illustrating a cubic meter equals one thousand liters
A cube measuring one meter on each side holds exactly 1000 liters.

FAQ

Is a US gallon the same as an Imperial (UK) gallon? No. A US fluid gallon is 3.785411784 L while an Imperial gallon is 4.54609 L, about 20% larger. Choose carefully.

What is "cc"? A cubic centimeter, which equals exactly one milliliter (\(1\mathrm{e}{-6}\) cubic meters).

Why are there US fluid and US dry versions? The US system uses separate measures for liquids and dry goods (grains, produce). A US dry quart is larger than a US fluid quart, so always match the variant to your material.

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