Convert shed to board
Learn how to convert
1
shed to
board
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(shed\right)={\color{rgb(20,165,174)} x}\left(board\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(shed\right) = {\color{rgb(89,182,91)} 10^{-52}\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 10^{-52}\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(board\right) = {\color{rgb(125,164,120)} 7.74192 \times 10^{-3}\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 7.74192 \times 10^{-3}\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(shed\right)={\color{rgb(20,165,174)} x}\left(board\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{-52}} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 7.74192 \times 10^{-3}}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{-52}} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 7.74192 \times 10^{-3}} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{-52}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 7.74192 \times 10^{-3}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(10^{-52} = {\color{rgb(20,165,174)} x} \times 7.74192 \times 10^{-3}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\({\color{rgb(255,204,153)} \cancelto{10^{-49}}{10^{-52}}} = {\color{rgb(20,165,174)} x} \times 7.74192 \times {\color{rgb(255,204,153)} \cancel{10^{-3}}}\)
\(\text{Simplify}\)
\(10^{-49} = {\color{rgb(20,165,174)} x} \times 7.74192\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 7.74192 = 10^{-49}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{7.74192}\right)\)
\({\color{rgb(20,165,174)} x} \times 7.74192 \times \dfrac{1.0}{7.74192} = 10^{-49} \times \dfrac{1.0}{7.74192}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{7.74192}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{7.74192}}} = 10^{-49} \times \dfrac{1.0}{7.74192}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-49}}{7.74192}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx1.29166925 \times 10^{-50}\approx1.2917 \times 10^{-50}\)
\(\text{Conversion Equation}\)
\(1.0\left(shed\right)\approx{\color{rgb(20,165,174)} 1.2917 \times 10^{-50}}\left(board\right)\)
