# Convert shaku(勺) to teaspoon

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

## Calculation Breakdown

Set up the equation
$$1.0\left(shaku(勺)\right)={\color{rgb(20,165,174)} x}\left(teaspoon\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(cubic \text{ } meter\right)$$
$$\text{Left side: 1.0 } \left(shaku(勺)\right) = {\color{rgb(89,182,91)} \dfrac{2.401}{1.331 \times 10^{5}}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} \dfrac{2.401}{1.331 \times 10^{5}}\left(m^{3}\right)}$$
$$\text{Right side: 1.0 } \left(teaspoon\right) = {\color{rgb(125,164,120)} 4.92892159375 \times 10^{-6}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 4.92892159375 \times 10^{-6}\left(m^{3}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(shaku(勺)\right)={\color{rgb(20,165,174)} x}\left(teaspoon\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{2.401}{1.331 \times 10^{5}}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4.92892159375 \times 10^{-6}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} \dfrac{2.401}{1.331 \times 10^{5}}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4.92892159375 \times 10^{-6}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{2.401}{1.331 \times 10^{5}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4.92892159375 \times 10^{-6}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}$$
$$\text{Conversion Equation}$$
$$\dfrac{2.401}{1.331 \times 10^{5}} = {\color{rgb(20,165,174)} x} \times 4.92892159375 \times 10^{-6}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 4.92892159375 \times 10^{-6} = \dfrac{2.401}{1.331 \times 10^{5}}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{4.92892159375 \times 10^{-6}}\right)$$
$${\color{rgb(20,165,174)} x} \times 4.92892159375 \times 10^{-6} \times \dfrac{1.0}{4.92892159375 \times 10^{-6}} = \dfrac{2.401}{1.331 \times 10^{5}} \times \dfrac{1.0}{4.92892159375 \times 10^{-6}}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4.92892159375}} \times {\color{rgb(99,194,222)} \cancel{10^{-6}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4.92892159375}} \times {\color{rgb(99,194,222)} \cancel{10^{-6}}}} = \dfrac{2.401 \times 1.0}{1.331 \times {\color{rgb(255,204,153)} \cancel{10^{5}}} \times 4.92892159375 \times {\color{rgb(255,204,153)} \cancelto{10^{-1}}{10^{-6}}}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{2.401}{1.331 \times 4.92892159375 \times 10^{-1}}$$
Rewrite equation
$$\dfrac{1.0}{10^{-1}}\text{ can be rewritten to }10$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10.0 \times 2.401}{1.331 \times 4.92892159375}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx3.6598408042\approx3.6598$$
$$\text{Conversion Equation}$$
$$1.0\left(shaku(勺)\right)\approx{\color{rgb(20,165,174)} 3.6598}\left(teaspoon\right)$$