Convert cup to sho(升)

Learn how to convert 1 cup to sho(升) step by step.

Calculation Breakdown

Set up the equation

1.0 (c u p) = x (s h o (升))

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 (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})

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

Insert known values into the conversion equation to determine

x

1.0 (c u p) = x (s h o (升))

Insert known values =>

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

Or

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

Cancel SI units

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

Conversion Equation

2.365882365 \times 10^{- 4} = x \times \frac{2.401}{1.331 \times 10^{3}}

Switch sides

x \times \frac{2.401}{1.331 \times 10^{3}} = 2.365882365 \times 10^{- 4}

Isolate

x

Multiply both sides by

(\frac{1.331 \times 10^{3}}{2.401})

x \times \frac{2.401}{1.331 \times 10^{3}} \times \frac{1.331 \times 10^{3}}{2.401} = 2.365882365 \times 10^{- 4} \times \frac{1.331 \times 10^{3}}{2.401}

Cancel

x \times \frac{2.401 \times 1.331 \times 10^{3}}{1.331 \times 10^{3} \times 2.401} = 2.365882365 \times {10^{- 4}}^{10^{- 1}} \times \frac{1.331 \times 10^{3}}{2.401}

Simplify

x = \frac{2.365882365 \times 10^{- 1} \times 1.331}{2.401}

Solve

x

x \approx 0.1311532456 \approx 1.3115 \times 10^{- 1}

Conversion Equation

1.0 (c u p) \approx 1.3115 \times 10^{- 1} (s h o (升))

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