Convert load to tun
Learn how to convert
1
load to
tun
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(load\right)={\color{rgb(20,165,174)} x}\left(tun\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(load\right) = {\color{rgb(89,182,91)} 1.4158423296\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 1.4158423296\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(tun\right) = {\color{rgb(125,164,120)} 9.53923769568 \times 10^{-1}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 9.53923769568 \times 10^{-1}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(load\right)={\color{rgb(20,165,174)} x}\left(tun\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.4158423296} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 9.53923769568 \times 10^{-1}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.4158423296} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 9.53923769568 \times 10^{-1}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.4158423296} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 9.53923769568 \times 10^{-1}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(1.4158423296 = {\color{rgb(20,165,174)} x} \times 9.53923769568 \times 10^{-1}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 9.53923769568 \times 10^{-1} = 1.4158423296\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{9.53923769568 \times 10^{-1}}\right)\)
\({\color{rgb(20,165,174)} x} \times 9.53923769568 \times 10^{-1} \times \dfrac{1.0}{9.53923769568 \times 10^{-1}} = 1.4158423296 \times \dfrac{1.0}{9.53923769568 \times 10^{-1}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{9.53923769568}} \times {\color{rgb(99,194,222)} \cancel{10^{-1}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{9.53923769568}} \times {\color{rgb(99,194,222)} \cancel{10^{-1}}}} = 1.4158423296 \times \dfrac{1.0}{9.53923769568 \times 10^{-1}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.4158423296}{9.53923769568 \times 10^{-1}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-1}}\text{ can be rewritten to }10\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10.0 \times 1.4158423296}{9.53923769568}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx1.4842300557\approx1.4842\)
\(\text{Conversion Equation}\)
\(1.0\left(load\right)\approx{\color{rgb(20,165,174)} 1.4842}\left(tun\right)\)
