Convert pound / cubic meter to ton / cubic yard

Learn how to convert 1 pound / cubic meter to ton / cubic yard step by step.

Calculation Breakdown

Set up the equation
1.0(poundcubic meter)=x(toncubic yard)
Define the base values of the selected units in relation to the SI unit (kilogramcubic meter)
Left side: 1.0 (poundcubic meter)=0.5(kilogramcubic meter)=0.5(kgm3)
Right side: 1.0 (toncubic yard)=1047.64554857984(kilogramcubic meter)=1047.64554857984(kgm3)
Insert known values into the conversion equation to determine x
1.0(poundcubic meter)=x(toncubic yard)
Insert known values =>
1.0×0.5×(kilogramcubic meter)=x×1047.64554857984×(kilogramcubic meter)
Or
1.00.5(kgm3)=x1047.64554857984(kgm3)
Cancel SI units
1.0×0.5(kgm3)=x×1047.64554857984×(kgm3)
Conversion Equation
0.5=x×1047.64554857984
Switch sides
x×1047.64554857984=0.5
Isolate x
Multiply both sides by (7.64554857984104)
x×1047.64554857984×7.64554857984104=0.5×7.64554857984104
Cancel
x×104×7.645548579847.64554857984×104=0.5×7.64554857984104
Simplify
x=0.5×7.64554857984104
Rewrite equation
1.0104 can be rewritten to 104
Rewrite
x=104×0.5×7.64554857984
Solve x
x0.00038227743.8228×104
Conversion Equation
1.0(poundcubic meter)3.8228×104(toncubic yard)

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