Convert teaspoon to shaku(勺)

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

Calculation Breakdown

Set up the equation

1.0 (t e a s p o o n) = x (s h a k u (勺))

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 (t e a s p o o n) = 4.73551041666667 \times 10^{- 6} (c u b i c m e t e r) = 4.73551041666667 \times 10^{- 6} (m^{3})

Right 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})

Insert known values into the conversion equation to determine

x

1.0 (t e a s p o o n) = x (s h a k u (勺))

Insert known values =>

1.0 \times 4.73551041666667 \times 10^{- 6} \times (c u b i c m e t e r) = x \times \frac{2.401}{1.331 \times 10^{5}} \times (c u b i c m e t e r)

Or

1.0 \cdot 4.73551041666667 \times 10^{- 6} \cdot (m^{3}) = x \cdot \frac{2.401}{1.331 \times 10^{5}} \cdot (m^{3})

Cancel SI units

1.0 \times 4.73551041666667 \times 10^{- 6} \cdot (m^{3}) = x \times \frac{2.401}{1.331 \times 10^{5}} \times (m^{3})

Conversion Equation

4.73551041666667 \times 10^{- 6} = x \times \frac{2.401}{1.331 \times 10^{5}}

Switch sides

x \times \frac{2.401}{1.331 \times 10^{5}} = 4.73551041666667 \times 10^{- 6}

Isolate

x

Multiply both sides by

(\frac{1.331 \times 10^{5}}{2.401})

x \times \frac{2.401}{1.331 \times 10^{5}} \times \frac{1.331 \times 10^{5}}{2.401} = 4.73551041666667 \times 10^{- 6} \times \frac{1.331 \times 10^{5}}{2.401}

Cancel

x \times \frac{2.401 \times 1.331 \times 10^{5}}{1.331 \times 10^{5} \times 2.401} = 4.73551041666667 \times {10^{- 6}}^{10^{- 1}} \times \frac{1.331 \times 10^{5}}{2.401}

Simplify

x = \frac{4.73551041666667 \times 10^{- 1} \times 1.331}{2.401}

Solve

x

x \approx 0.2625141343 \approx 2.6251 \times 10^{- 1}

Conversion Equation

1.0 (t e a s p o o n) \approx 2.6251 \times 10^{- 1} (s h a k u (勺))

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