| - |
wey |
chaldron |
bag |
pottle |
gill |
| 1 wey= |
1 |
10/9 |
40/3 |
640 |
120240 |
| 1chaldron= |
$\frac{9}{10}=0.900$ |
1 |
$\frac{9}{10}\cdot\frac{40}{3}=12.0$ |
$\frac{9}{10}\cdot640=576$ |
$\frac{9}{10}\cdot120240=1.08\times10^5$ |
| 1bag= |
$\frac{3}{40}=0.0750$ |
$\frac{3}{40}\cdot\frac{10}{9}=8.33\times10^{-2}$ |
1 |
$\frac{3}{40}\cdot640=48.0$ |
$\frac{3}{40}\cdot120240=9.02\times10^3$ |
| 1pottle= |
$\frac{1}{640}=1.56\times10^{-3}$ |
$\frac{1}{640}\cdot\frac{10}{9}=1.74\times10^{-3}$ |
$\frac{1}{640}\cdot\frac{40}{3}=2.08\times10^{-2}$ |
1 |
$\frac{1}{640}\cdot120240=188$ |
$$\ab{f}$$
$$
\begin{cases}
1\ut{bag}&=0.1091\ut{m^3}\\
\end{cases} $$
$$ \begin{aligned}
V&=4.32\ut{chaldron}\\
&=4.32\ut{chaldron}\times\frac{1\ut{wey}}{\frac{10}{9}\ut{chaldron}}
\times\frac{\frac{40}{3}\ut{bag}}{1\ut{wey}}\times\frac{0.1091\ut{m^3}}{1\ut{bag}}\\
&=4.32\cdot\frac{9}{10}\cdot\frac{40}{3}\cdot0.1091\ut{m^3}\\
&=\frac{88371}{15625}\ut{m^3}\\
&=5.655744\ut{m^3}\\
&\approx5.66\ut{m^3}\\
\end{aligned} $$