Convert pound / gallon to pound / cubic inch

Learn how to convert 1 pound / gallon to pound / cubic inch step by step.

Calculation Breakdown

Set up the equation
1.0(poundgallon)=x(poundcubic inch)
Define the base values of the selected units in relation to the SI unit (kilogramcubic meter)
Left side: 1.0 (poundgallon)=5.04.54609×102(kilogramcubic meter)=5.04.54609×102(kgm3)
Right side: 1.0 (poundcubic inch)=4.53592371.6387064×104(kilogramcubic meter)=4.53592371.6387064×104(kgm3)
Insert known values into the conversion equation to determine x
1.0(poundgallon)=x(poundcubic inch)
Insert known values =>
1.0×5.04.54609×102×(kilogramcubic meter)=x×4.53592371.6387064×104×(kilogramcubic meter)
Or
1.05.04.54609×102(kgm3)=x4.53592371.6387064×104(kgm3)
Cancel SI units
1.0×5.04.54609×102(kgm3)=x×4.53592371.6387064×104×(kgm3)
Conversion Equation
5.04.54609×102=x×4.53592371.6387064×104
Cancel factors on both sides
Cancel factors
5.04.54609×102=x×4.53592371.6387064×104102
Simplify
5.04.54609=x×4.53592371.6387064×102
Switch sides
x×4.53592371.6387064×102=5.04.54609
Isolate x
Multiply both sides by (1.6387064×1024.5359237)
x×4.53592371.6387064×102×1.6387064×1024.5359237=5.04.54609×1.6387064×1024.5359237
Cancel
x×4.5359237×1.6387064×1021.6387064×102×4.5359237=5.0×1.6387064×1024.54609×4.5359237
Simplify
x=5.0×1.6387064×1024.54609×4.5359237
Solve x
x0.00397344663.9734×103
Conversion Equation
1.0(poundgallon)3.9734×103(poundcubic inch)

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