Convert square mile to fang zhang(方丈)

Learn how to convert 1 square mile to fang zhang(方丈) step by step.

Calculation Breakdown

Set up the equation

1.0 (s q u a r e m i l e) = x (f a n g z h a n g (方 丈))

Define the base values of the selected units in relation to the SI unit

(s q u a r e m e t e r)

Left side: 1.0 (s q u a r e m i l e) = 3429904.0 (s q u a r e m e t e r) = 3429904.0 (m^{2})

Right side: 1.0 (f a n g z h a n g (方 丈)) = \frac{10^{2}}{9.0} (s q u a r e m e t e r) = \frac{10^{2}}{9.0} (m^{2})

Insert known values into the conversion equation to determine

x

1.0 (s q u a r e m i l e) = x (f a n g z h a n g (方 丈))

Insert known values =>

1.0 \times 3429904.0 \times (s q u a r e m e t e r) = x \times \frac{10^{2}}{9.0} \times (s q u a r e m e t e r)

Or

1.0 \cdot 3429904.0 \cdot (m^{2}) = x \cdot \frac{10^{2}}{9.0} \cdot (m^{2})

Cancel SI units

1.0 \times 3429904.0 \cdot (m^{2}) = x \times \frac{10^{2}}{9.0} \times (m^{2})

Conversion Equation

3429904.0 = x \times \frac{10^{2}}{9.0}

Switch sides

x \times \frac{10^{2}}{9.0} = 3429904.0

Isolate

x

Multiply both sides by

(\frac{9.0}{10^{2}})

x \times \frac{10^{2}}{9.0} \times \frac{9.0}{10^{2}} = 3429904.0 \times \frac{9.0}{10^{2}}

Cancel

x \times \frac{10^{2} \times 9.0}{9.0 \times 10^{2}} = 3429904.0 \times \frac{9.0}{10^{2}}

Simplify

x = \frac{3429904.0 \times 9.0}{10^{2}}

Rewrite equation

\frac{1.0}{10^{2}} can be rewritten to 10^{- 2}

Rewrite

x = 10^{- 2} \times 3429904.0 \times 9.0

Solve

x

x = 308691.36 \approx 3.0869 \times 10^{5}

Conversion Equation

1.0 (s q u a r e m i l e) \approx 3.0869 \times 10^{5} (f a n g z h a n g (方 丈))

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