zmVault/timestamped/2026-05-18_16-34-42.md

id, title, tags, daily

id	title	tags	daily
2026-05-18T16:34:42-0400	2026-05-18 16:34:42		2026-05-18

2026-05-18 16:34:42

Exact Conversion Metric Density to U.S. Customary

1~\rm{ft} \equiv \frac{1}{3}~\rm{yd}

1~\rm{yd} \equiv 0.9144~\rm{m}

\frac{1~\rm{yd}}{0.9144~\rm{m}}
\times \frac{1~\rm{ft}}{\frac{1}{3}~\rm{yd}}
= \frac{1~\rm{ft}}{0.3048~\rm{m}}

1~\rm{ft} = 0.3048~\rm{m}

1~\rm{ft^{2}} = (0.3048~\rm{m})^{2}
= 0.09290304~\rm{m^{2}}

1~\rm{ft^{3}} = (0.3048~\rm{m})^{3}
= 0.028316846592~\rm{m^{3}}

1~\rm{lb} \equiv 0.45359237~\rm{kg}

\frac{1~\rm{kg}}{1~\rm{m^{3}}}
\times \frac{1~\rm{lb}}{0.45359237~\rm{kg}}
\times \frac{0.028316846592~\rm{m^{3}}}{1~\rm{ft^{3}}}
= \frac{0.06242796057614461195632545582722~\rm{lb}}{1~\rm{ft^{3}}}

8930~\rm{kg/m^{3}} = 557.48168794497138476998632053709~\rm{lb/ft^{3}}