Convert shaku(勺) to quart

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

Calculation Breakdown

Set up the equation

1.0 (s h a k u (勺)) = x (q u a r t)

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 (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})

Right side: 1.0 (q u a r t) = 1.1365225 \times 10^{- 3} (c u b i c m e t e r) = 1.1365225 \times 10^{- 3} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (s h a k u (勺)) = x (q u a r t)

Insert known values =>

1.0 \times \frac{2.401}{1.331 \times 10^{5}} \times (c u b i c m e t e r) = x \times 1.1365225 \times 10^{- 3} \times (c u b i c m e t e r)

Or

1.0 \cdot \frac{2.401}{1.331 \times 10^{5}} \cdot (m^{3}) = x \cdot 1.1365225 \times 10^{- 3} \cdot (m^{3})

Cancel SI units

1.0 \times \frac{2.401}{1.331 \times 10^{5}} \cdot (m^{3}) = x \times 1.1365225 \times 10^{- 3} \times (m^{3})

Conversion Equation

\frac{2.401}{1.331 \times 10^{5}} = x \times 1.1365225 \times 10^{- 3}

Switch sides

x \times 1.1365225 \times 10^{- 3} = \frac{2.401}{1.331 \times 10^{5}}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.1365225 \times 10^{- 3}})

x \times 1.1365225 \times 10^{- 3} \times \frac{1.0}{1.1365225 \times 10^{- 3}} = \frac{2.401}{1.331 \times 10^{5}} \times \frac{1.0}{1.1365225 \times 10^{- 3}}

Cancel

x \times 1.1365225 \times 10^{- 3} \times \frac{1.0}{1.1365225 \times 10^{- 3}} = \frac{2.401 \times 1.0}{1.331 \times {10^{5}}^{10^{2}} \times 1.1365225 \times 10^{- 3}}

Simplify

x = \frac{2.401}{1.331 \times 10^{2} \times 1.1365225}

Rewrite equation

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

Rewrite

x = \frac{10^{- 2} \times 2.401}{1.331 \times 1.1365225}

Solve

x

x \approx 0.0158721612 \approx 1.5872 \times 10^{- 2}

Conversion Equation

1.0 (s h a k u (勺)) \approx 1.5872 \times 10^{- 2} (q u a r t)

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