Convert sack to barrel

Learn how to convert 1 sack to barrel step by step.

Calculation Breakdown

Set up the equation

1.0 (s a c k) = x (b a r r e l)

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 a c k) = 1.0910616 \times 10^{- 1} (c u b i c m e t e r) = 1.0910616 \times 10^{- 1} (m^{3})

Right side: 1.0 (b a r r e l) = 0.158987294928 (c u b i c m e t e r) = 0.158987294928 (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (s a c k) = x (b a r r e l)

Insert known values =>

1.0 \times 1.0910616 \times 10^{- 1} \times (c u b i c m e t e r) = x \times 0.158987294928 \times (c u b i c m e t e r)

Or

1.0 \cdot 1.0910616 \times 10^{- 1} \cdot (m^{3}) = x \cdot 0.158987294928 \cdot (m^{3})

Cancel SI units

1.0 \times 1.0910616 \times 10^{- 1} \cdot (m^{3}) = x \times 0.158987294928 \times (m^{3})

Conversion Equation

1.0910616 \times 10^{- 1} = x \times 0.158987294928

Switch sides

x \times 0.158987294928 = 1.0910616 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{0.158987294928})

x \times 0.158987294928 \times \frac{1.0}{0.158987294928} = 1.0910616 \times 10^{- 1} \times \frac{1.0}{0.158987294928}

Cancel

x \times 0.158987294928 \times \frac{1.0}{0.158987294928} = 1.0910616 \times 10^{- 1} \times \frac{1.0}{0.158987294928}

Simplify

x = \frac{1.0910616 \times 10^{- 1}}{0.158987294928}

Solve

x

x \approx 0.6862571003 \approx 6.8626 \times 10^{- 1}

Conversion Equation

1.0 (s a c k) \approx 6.8626 \times 10^{- 1} (b a r r e l)

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