Convert shaku(勺) to to(升)

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

Calculation Breakdown

Set up the equation

1.0 (s h a k u (勺)) = x (t 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 (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 (t o (升)) = \frac{2.401}{1.331 \times 10^{2}} (c u b i c m e t e r) = \frac{2.401}{1.331 \times 10^{2}} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (s h a k u (勺)) = x (t o (升))

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 \frac{2.401}{1.331 \times 10^{2}} \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 \frac{2.401}{1.331 \times 10^{2}} \cdot (m^{3})

Cancel SI units

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

Conversion Equation

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

Cancel factors on both sides

Cancel factors

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

Simplify

\frac{1.0}{10^{3}} = x

Switch sides

x = \frac{1.0}{10^{3}}

Rewrite equation

\frac{1.0}{10^{3}} can be rewritten to 10^{- 3}

Rewrite

x = 10^{- 3}

Solve

x

x = 10^{- 3}

Conversion Equation

1.0 (s h a k u (勺)) = 10^{- 3} (t o (升))

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