yd³ 에서 in³ 변환기 - 세제곱야드 에서 세제곱인치

Conversion derivation

Express both yd³ and in³ in the same base unit m³ (cubic meter), then cancel the shared base unit.

1. 1

   Rewrite yd³ in the base unit

   $$1\mathrm{y}{\mathrm{d}}^3=0.764555{\mathrm{m}}^3$$
2. 2

   Rewrite in³ in the base unit

   $$1\mathrm{i}{\mathrm{n}}^3=0.0000163871{\mathrm{m}}^3$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{y}{\mathrm{d}}^3& =\frac{0.764555\cancel{{\mathrm{m}}^3}}{0.0000163871\cancel{{\mathrm{m}}^3}}\times 1\mathrm{i}{\mathrm{n}}^3\\ & =\frac{0.764555}{0.0000163871}\mathrm{i}{\mathrm{n}}^3\\ & =46,655.9061701\mathrm{i}{\mathrm{n}}^3\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{i}{\mathrm{n}}^3& =\frac{0.0000163871\cancel{{\mathrm{m}}^3}}{0.764555\cancel{{\mathrm{m}}^3}}\times 1\mathrm{y}{\mathrm{d}}^3\\ & =\frac{0.0000163871}{0.764555}\mathrm{y}{\mathrm{d}}^3\\ & =0.000021433514\mathrm{y}{\mathrm{d}}^3\end{array}$$