Convert shaku(勺) to go(合)

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

Calculation Breakdown

Set up the equation

1.0 (s h a k u (勺)) = x (g o (合))

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 (g o (合)) = \frac{2401.0}{1.331 \times 10^{7}} (c u b i c m e t e r) = \frac{2401.0}{1.331 \times 10^{7}} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (s h a k u (勺)) = x (g o (合))

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{2401.0}{1.331 \times 10^{7}} \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{2401.0}{1.331 \times 10^{7}} \cdot (m^{3})

Cancel SI units

1.0 \times \frac{2.401}{1.331 \times 10^{5}} \cdot (m^{3}) = x \times \frac{2401.0}{1.331 \times 10^{7}} \times (m^{3})

Conversion Equation

\frac{2.401}{1.331 \times 10^{5}} = x \times \frac{2401.0}{1.331 \times 10^{7}}

Cancel factors on both sides

Cancel factors

\frac{2.401}{1.331 \times 10^{5}} = x \times \frac{2401.0}{1.331 \times {10^{7}}^{10^{2}}}

Simplify

2.401 = x \times \frac{2401.0}{10^{2}}

Switch sides

x \times \frac{2401.0}{10^{2}} = 2.401

Isolate

x

Multiply both sides by

(\frac{10^{2}}{2401.0})

x \times \frac{2401.0}{10^{2}} \times \frac{10^{2}}{2401.0} = 2.401 \times \frac{10^{2}}{2401.0}

Cancel

x \times \frac{2401.0 \times 10^{2}}{10^{2} \times 2401.0} = 2.401 \times \frac{10^{2}}{2401.0}

Simplify

x = \frac{2.401 \times 10^{2}}{2401.0}

Solve

x

x = 0.1 = 0.001 \times 10^{2}

Conversion Equation

1.0 (s h a k u (勺)) = 0.001 \times 10^{2} (g o (合))

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