Convert shaku(勺) to teaspoon

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

Calculation Breakdown

Set up the equation

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

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 e a s p o o n) = 5.0 \times 10^{- 6} (c u b i c m e t e r) = 5.0 \times 10^{- 6} (m^{3})

Insert known values into the conversion equation to determine

x

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

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 5.0 \times 10^{- 6} \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 5.0 \times 10^{- 6} \cdot (m^{3})

Cancel SI units

1.0 \times \frac{2.401}{1.331 \times 10^{5}} \cdot (m^{3}) = x \times 5.0 \times 10^{- 6} \times (m^{3})

Conversion Equation

\frac{2.401}{1.331 \times 10^{5}} = x \times 5.0 \times 10^{- 6}

Switch sides

x \times 5.0 \times 10^{- 6} = \frac{2.401}{1.331 \times 10^{5}}

Isolate

x

Multiply both sides by

(\frac{1.0}{5.0 \times 10^{- 6}})

x \times 5.0 \times 10^{- 6} \times \frac{1.0}{5.0 \times 10^{- 6}} = \frac{2.401}{1.331 \times 10^{5}} \times \frac{1.0}{5.0 \times 10^{- 6}}

Cancel

x \times 5.0 \times 10^{- 6} \times \frac{1.0}{5.0 \times 10^{- 6}} = \frac{2.401 \times 1.0}{1.331 \times 10^{5} \times 5.0 \times {10^{- 6}}^{10^{- 1}}}

Simplify

x = \frac{2.401}{1.331 \times 5.0 \times 10^{- 1}}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = \frac{10.0 \times 2.401}{1.331 \times 5.0}

Solve

x

x \approx 3.6078136739 \approx 3.6078

Conversion Equation

1.0 (s h a k u (勺)) \approx 3.6078 (t e a s p o o n)

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