vault backup: 2026-05-18 17:37:50

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

@@ -0,0 +1,52 @@
+---
+id: 2026-05-18T16:34:42-0400
+title: 2026-05-18 16:34:42
+tags: []
+daily: "[[2026-05-18]]"
+---
+# 2026-05-18 16:34:42
+
+## Exact Conversion Metric Density to U.S. Customary
+
+$$
+1~\rm{ft} \equiv \frac{1}{3}~\rm{yd}
+$$
+
+$$
+1~\rm{yd} \equiv 0.9144~\rm{m}
+$$
+
+$$
+\frac{1~\rm{yd}}{0.9144~\rm{m}}
+\times \frac{1~\rm{ft}}{\frac{1}{3}~\rm{yd}}
+= \frac{1~\rm{ft}}{0.3048~\rm{m}}
+$$
+
+$$
+1~\rm{ft} = 0.3048~\rm{m}
+$$
+
+$$
+1~\rm{ft^{2}} = (0.3048~\rm{m})^{2}
+= 0.09290304~\rm{m^{2}}
+$$
+
+$$
+1~\rm{ft^{3}} = (0.3048~\rm{m})^{3}
+= 0.028316846592~\rm{m^{3}}
+$$
+
+$$
+1~\rm{lb} \equiv 0.45359237~\rm{kg}
+$$
+
+$$
+\frac{1~\rm{kg}}{1~\rm{m^{3}}}
+\times \frac{1~\rm{lb}}{0.45359237~\rm{kg}}
+\times \frac{0.028316846592~\rm{m^{3}}}{1~\rm{ft^{3}}}
+= \frac{0.06242796057614461195632545582722~\rm{lb}}{1~\rm{ft^{3}}}
+$$
+
+$$
+8930~\rm{kg/m^{3}} = 557.48168794497138476998632053709~\rm{lb/ft^{3}}
+$$