Convert pound / liter to ounce / cubic meter

Learn how to convert 1 pound / liter to ounce / cubic meter step by step.

Calculation Breakdown

Set up the equation
1.0(poundliter)=x(ouncecubic meter)
Define the base values of the selected units in relation to the SI unit (kilogramcubic meter)
Left side: 1.0 (poundliter)=5.0×102(kilogramcubic meter)=5.0×102(kgm3)
Right side: 1.0 (ouncecubic meter)=2.8349523125×102(kilogramcubic meter)=2.8349523125×102(kgm3)
Insert known values into the conversion equation to determine x
1.0(poundliter)=x(ouncecubic meter)
Insert known values =>
1.0×5.0×102×(kilogramcubic meter)=x×2.8349523125×102×(kilogramcubic meter)
Or
1.05.0×102(kgm3)=x2.8349523125×102(kgm3)
Cancel SI units
1.0×5.0×102(kgm3)=x×2.8349523125×102×(kgm3)
Conversion Equation
5.0×102=x×2.8349523125×102
Switch sides
x×2.8349523125×102=5.0×102
Isolate x
Multiply both sides by (1.02.8349523125×102)
x×2.8349523125×102×1.02.8349523125×102=5.0×102×1.02.8349523125×102
Cancel
x×2.8349523125×102×1.02.8349523125×102=5.0×102×1.02.8349523125×102
Simplify
x=5.0×1022.8349523125×102
Rewrite equation
1.0102 can be rewritten to 102
Rewrite
x=102×5.0×1022.8349523125
Simplify
x=104×5.02.8349523125
Solve x
x17636.9809751.7637×104
Conversion Equation
1.0(poundliter)1.7637×104(ouncecubic meter)

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