Question

How to convert 750 in ^3 to yd^3

Answer 1

$\bf \stackrel{\textit{we know that }}{1yd=36in}\implies \stackrel{\textit{therefore}}{(1yd)^3=(36in)^3}\implies \stackrel{\textit{distributing the exponent}}{1^3yd^3=36^3in^3}\\\\\\1yd^3=46656in^3~\hspace{8em}therefore\\\\\\750 \underline{in^3} \cdot \cfrac{1yd^3}{46656 \underline{in^3}}\implies \cfrac{750 yd^3}{46656}\implies \cfrac{125 yd^3}{7776}~~~~\approx~~~~ 0.016075~yd^3$