Convert barrel to drop

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

Calculation Breakdown

Set up the equation

1.0 (b a r r e l) = x (d r o p)

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

Right side: 1.0 (d r o p) = 5.0 \times 10^{- 8} (c u b i c m e t e r) = 5.0 \times 10^{- 8} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (b a r r e l) = x (d r o p)

Insert known values =>

1.0 \times 0.158987294928 \times (c u b i c m e t e r) = x \times 5.0 \times 10^{- 8} \times (c u b i c m e t e r)

Or

1.0 \cdot 0.158987294928 \cdot (m^{3}) = x \cdot 5.0 \times 10^{- 8} \cdot (m^{3})

Cancel SI units

1.0 \times 0.158987294928 \cdot (m^{3}) = x \times 5.0 \times 10^{- 8} \times (m^{3})

Conversion Equation

0.158987294928 = x \times 5.0 \times 10^{- 8}

Switch sides

x \times 5.0 \times 10^{- 8} = 0.158987294928

Isolate

x

Multiply both sides by

(\frac{1.0}{5.0 \times 10^{- 8}})

x \times 5.0 \times 10^{- 8} \times \frac{1.0}{5.0 \times 10^{- 8}} = 0.158987294928 \times \frac{1.0}{5.0 \times 10^{- 8}}

Cancel

x \times 5.0 \times 10^{- 8} \times \frac{1.0}{5.0 \times 10^{- 8}} = 0.158987294928 \times \frac{1.0}{5.0 \times 10^{- 8}}

Simplify

x = \frac{0.158987294928}{5.0 \times 10^{- 8}}

Rewrite equation

\frac{1.0}{10^{- 8}} can be rewritten to 10^{8}

Rewrite

x = \frac{10^{8} \times 0.158987294928}{5.0}

Solve

x

x \approx 3179745.8986 \approx 3.1797 \times 10^{6}

Conversion Equation

1.0 (b a r r e l) \approx 3.1797 \times 10^{6} (d r o p)

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