Convert dou(市斗) to shaku(勺)

Learn how to convert 1 dou(市斗) to shaku(勺) step by step.

Calculation Breakdown

Set up the equation

1.0 (d o u (市 斗)) = x (s h a k u (勺))

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

(c u b i c m e t e r)

Left side: 1.0 (d o u (市 斗)) = 10^{- 2} (c u b i c m e t e r) = 10^{- 2} (m^{3})

Right side: 1.0 (s h a k u (勺)) = \frac{2.401}{1.331 \times 10^{5}} (c u b i c m e t e r) = \frac{2.401}{1.331 \times 10^{5}} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (d o u (市 斗)) = x (s h a k u (勺))

Insert known values =>

1.0 \times 10^{- 2} \times (c u b i c m e t e r) = x \times \frac{2.401}{1.331 \times 10^{5}} \times (c u b i c m e t e r)

Or

1.0 \cdot 10^{- 2} \cdot (m^{3}) = x \cdot \frac{2.401}{1.331 \times 10^{5}} \cdot (m^{3})

Cancel SI units

1.0 \times 10^{- 2} \cdot (m^{3}) = x \times \frac{2.401}{1.331 \times 10^{5}} \times (m^{3})

Conversion Equation

10^{- 2} = x \times \frac{2.401}{1.331 \times 10^{5}}

Switch sides

x \times \frac{2.401}{1.331 \times 10^{5}} = 10^{- 2}

Isolate

x

Multiply both sides by

(\frac{1.331 \times 10^{5}}{2.401})

x \times \frac{2.401}{1.331 \times 10^{5}} \times \frac{1.331 \times 10^{5}}{2.401} = 10^{- 2} \times \frac{1.331 \times 10^{5}}{2.401}

Cancel

x \times \frac{2.401 \times 1.331 \times 10^{5}}{1.331 \times 10^{5} \times 2.401} = 10^{- 2} \times \frac{1.331 \times {10^{5}}^{10^{3}}}{2.401}

Simplify

x = \frac{1.331 \times 10^{3}}{2.401}

Solve

x

x \approx 554.35235319 \approx 5.5435 \times 10^{2}

Conversion Equation

1.0 (d o u (市 斗)) \approx 5.5435 \times 10^{2} (s h a k u (勺))

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