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) = 9.46352946 \times 10^{- 4} (c u b i c m e t e r) = 9.46352946 \times 10^{- 4} (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 9.46352946 \times 10^{- 4} \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 9.46352946 \times 10^{- 4} \cdot (m^{3})

Cancel SI units

1.0 \times \frac{2.401}{1.331 \times 10^{5}} \cdot (m^{3}) = x \times 9.46352946 \times 10^{- 4} \times (m^{3})

Conversion Equation

\frac{2.401}{1.331 \times 10^{5}} = x \times 9.46352946 \times 10^{- 4}

Switch sides

x \times 9.46352946 \times 10^{- 4} = \frac{2.401}{1.331 \times 10^{5}}

Isolate

x

Multiply both sides by

(\frac{1.0}{9.46352946 \times 10^{- 4}})

x \times 9.46352946 \times 10^{- 4} \times \frac{1.0}{9.46352946 \times 10^{- 4}} = \frac{2.401}{1.331 \times 10^{5}} \times \frac{1.0}{9.46352946 \times 10^{- 4}}

Cancel

x \times 9.46352946 \times 10^{- 4} \times \frac{1.0}{9.46352946 \times 10^{- 4}} = \frac{2.401 \times 1.0}{1.331 \times {10^{5}}^{10} \times 9.46352946 \times 10^{- 4}}

Simplify

x = \frac{2.401}{1.331 \times 10.0 \times 9.46352946}

Solve

x

x \approx 0.0190616709 \approx 1.9062 \times 10^{- 2}

Conversion Equation

1.0 (s h a k u (勺)) \approx 1.9062 \times 10^{- 2} (q u a r t)

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