Convert tablespoon to pail

Learn how to convert 1 tablespoon to pail step by step.

Calculation Breakdown

Set up the equation
$$1.0\left(tablespoon\right)={\color{rgb(20,165,174)} x}\left(pail\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(cubic \text{ } meter\right)$$
$$\text{Left side: 1.0 } \left(tablespoon\right) = {\color{rgb(89,182,91)} 1.420653125 \times 10^{-5}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 1.420653125 \times 10^{-5}\left(m^{3}\right)}$$
$$\text{Right side: 1.0 } \left(pail\right) = {\color{rgb(125,164,120)} 2.9094976 \times 10^{-1}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 2.9094976 \times 10^{-1}\left(m^{3}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(tablespoon\right)={\color{rgb(20,165,174)} x}\left(pail\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 1.420653125 \times 10^{-5}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.9094976 \times 10^{-1}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 1.420653125 \times 10^{-5}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.9094976 \times 10^{-1}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 1.420653125 \times 10^{-5}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 2.9094976 \times 10^{-1}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}$$
$$\text{Conversion Equation}$$
$$1.420653125 \times 10^{-5} = {\color{rgb(20,165,174)} x} \times 2.9094976 \times 10^{-1}$$
Cancel factors on both sides
$$\text{Cancel factors}$$
$$1.420653125 \times {\color{rgb(255,204,153)} \cancelto{10^{-4}}{10^{-5}}} = {\color{rgb(20,165,174)} x} \times 2.9094976 \times {\color{rgb(255,204,153)} \cancel{10^{-1}}}$$
$$\text{Simplify}$$
$$1.420653125 \times 10^{-4} = {\color{rgb(20,165,174)} x} \times 2.9094976$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 2.9094976 = 1.420653125 \times 10^{-4}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{2.9094976}\right)$$
$${\color{rgb(20,165,174)} x} \times 2.9094976 \times \dfrac{1.0}{2.9094976} = 1.420653125 \times 10^{-4} \times \dfrac{1.0}{2.9094976}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2.9094976}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{2.9094976}}} = 1.420653125 \times 10^{-4} \times \dfrac{1.0}{2.9094976}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{1.420653125 \times 10^{-4}}{2.9094976}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx0.0000488281\approx4.8828 \times 10^{-5}$$
$$\text{Conversion Equation}$$
$$1.0\left(tablespoon\right)\approx{\color{rgb(20,165,174)} 4.8828 \times 10^{-5}}\left(pail\right)$$