# Cubic inches

Physical unit
Unit name Cubic inches
Unit symbol ${\ displaystyle {\ mathsf {cuin}}}$ Physical quantity (s) volume
Formula symbol ${\ displaystyle V}$ dimension ${\ displaystyle {\ mathsf {L ^ {3}}}}$ system Anglo-American system of measurement
In SI units ${\ displaystyle \ mathrm {1 \, cuin = 16 {,} 387064 \ cdot 10 ^ {- 6} \; m ^ {3}}}$ Derived from inch

A cubic inch (obsolete and dice inches , English cubic inch ) is the volume of a cube with an inch edge length.

## General Information

### Non-metric cubic inches

• 1 cubic inch = 1 inch × 1 inch × 1 inch = 1728 cubic lines
• 1728 cubic inches = 1 cubic foot

### Rhineland cubic inch

• 1 cubic inch (Rheinl.) = 910 Parisian cubic inches = 17.857 cm³ ≈ 1/56000

### Parisian cubic inches

Parisian cubic inches was a widely used reference measure.

• 1 cubic inch (Parisian) = 109 cubic inch (Rheinl.) = 19.8364 cm³ ≈ 1/50000 m³

### Prussian cubic inch

The Prussian Order of Measure and Weight of May 16, 1816 established the Prussian measure for all of Prussia .

• 1 cubic inch (Prussia) = 1728 cubic lines ≈ 17.891 cm³ = 0.017891 liters

### English customs

The English inch is exactly 2.54 centimeters long, so a cubic inch has a volume of exactly 16.387064 cm³. The US gallon has a volume of exactly 231 cubic inches, the imperial gallon has not been derived from the cubic inch since its reform in 1824. (Up until the early 1950s, the English and US customs were slightly different from each other.)

The unit was spread throughout the English-speaking area. Since most states have adapted the metric system according to the SI standard , the USA has been the most important area in which metric sizes are still the exception.

## Symbols / abbreviations

There is no single symbol; the following abbreviations are commonly used:

• cubic inches, cubic inch, cubic in
• cu inches, cu inch, cu in
• inches / -3, inch / -3, in / -3
• inches ^ 3, inch ^ 3, in ^ 3
• inches³, inch³, in³
• cui
• ci
• CID represents Cubic Inch Displacement (cubic inch displacement ) for internal combustion engines

## conversion

1 cubic inch equals:

• 1 in³ = 16.387064 cm³
• 1 in³ = 0.016387064 l
• 1 in³ = 0.000016387064 m³
• 1 in³ ≈ 0.0005787037037 cubic feet
• 1 in³ ≈ 0.0000214334705 cubic yards
• 1 in³ ≈ 0.00000000000000393146573 cubic miles
• 1 in³ ≈ 0.554112552 US fluid ounces
• 1 in³ ≈ 0.069264069 US cups
• 1 in³ ≈ 0.000465025413 US bushels
• 1 in³ ≈ 0.00432900431 US liquid gallons
• 1 in³ ≈ 0.00010307153119 barrels
• 1 cubic feet = 1728 in³
• 1 cubic yard = 46656 in³
• 1 cubic mile = 254358061056000 in³
• 1 US fluid ounce = 1.8046875 in³
• 1 cup = 14.4375 in³
• 1 US bushel = 2150.42 in³
• 1 US liquid gallon = 231 in³
• 1 barrel = 9702 in³