Convert sai(才) to cup

Learn how to convert 1 sai(才) to cup step by step.

Calculation Breakdown

Set up the equation

1.0 (s a i (才)) = x (c u p)

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 a i (才)) = \frac{2.401}{1.331 \times 10^{6}} (c u b i c m e t e r) = \frac{2.401}{1.331 \times 10^{6}} (m^{3})

Right side: 1.0 (c u p) = 2.365882365 \times 10^{- 4} (c u b i c m e t e r) = 2.365882365 \times 10^{- 4} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (s a i (才)) = x (c u p)

Insert known values =>

1.0 \times \frac{2.401}{1.331 \times 10^{6}} \times (c u b i c m e t e r) = x \times 2.365882365 \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^{6}} \cdot (m^{3}) = x \cdot 2.365882365 \times 10^{- 4} \cdot (m^{3})

Cancel SI units

1.0 \times \frac{2.401}{1.331 \times 10^{6}} \cdot (m^{3}) = x \times 2.365882365 \times 10^{- 4} \times (m^{3})

Conversion Equation

\frac{2.401}{1.331 \times 10^{6}} = x \times 2.365882365 \times 10^{- 4}

Switch sides

x \times 2.365882365 \times 10^{- 4} = \frac{2.401}{1.331 \times 10^{6}}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.365882365 \times 10^{- 4}})

x \times 2.365882365 \times 10^{- 4} \times \frac{1.0}{2.365882365 \times 10^{- 4}} = \frac{2.401}{1.331 \times 10^{6}} \times \frac{1.0}{2.365882365 \times 10^{- 4}}

Cancel

x \times 2.365882365 \times 10^{- 4} \times \frac{1.0}{2.365882365 \times 10^{- 4}} = \frac{2.401 \times 1.0}{1.331 \times {10^{6}}^{10^{2}} \times 2.365882365 \times 10^{- 4}}

Simplify

x = \frac{2.401}{1.331 \times 10^{2} \times 2.365882365}

Rewrite equation

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

Rewrite

x = \frac{10^{- 2} \times 2.401}{1.331 \times 2.365882365}

Solve

x

x \approx 0.0076246683 \approx 7.6247 \times 10^{- 3}

Conversion Equation

1.0 (s a i (才)) \approx 7.6247 \times 10^{- 3} (c u p)

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