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.) = ⁹ ⁄ ₁₀ Parisian cubic inches = 17.857 cm³ ≈ 1/56000 m³

Parisian cubic inches

Parisian cubic inches was a widely used reference measure.

• 1 cubic inch (Parisian) = ¹⁰ ⁄ ₉ 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.)

• 1 cubic yard = 27 cubic foot = 46656 cubic inch
• 1 acre-foot = 43560 cubic foot = 75271680 cubic inches

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

See also

• Anglo-American system of measurement
• Old weights and measures (Prussia)

literature

• FA Niemann : Complete manual of the coins, measures and weights of all countries in the world. Verlag Gottfried Basse, Quedlinburg / Leipzig 1830, p. 144.
• Johann Karl Gottfried Jacobsson: Technological dictionary or alphabetical explanation of all useful mechanical arts, manufactures, factories and craftsmen, Volume 3 Berlin and Stettin Verl. Friedrich Nicolai 1783, p. 474.

Individual evidence

1. ↑ Latest Conversations Lexicon; or, General German Real Encyclopedia for educated states . tape 18 , W - Zywiec. Franz Ludwig, Vienna 1835, p. 271 .
2. ↑ Converting units - converting units of measurement. In: metric-conversions.org. Retrieved May 16, 2017 (cubic inches to cubic feet - other conversions can be set).