Convert barrel to dram

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

Calculation Breakdown

Set up the equation

1.0 (b a r r e l) = x (d r a m)

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) = 0.115628198985075 (c u b i c m e t e r) = 0.115628198985075 (m^{3})

Right side: 1.0 (d r a m) = 3.5516328125 \times 10^{- 6} (c u b i c m e t e r) = 3.5516328125 \times 10^{- 6} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (b a r r e l) = x (d r a m)

Insert known values =>

1.0 \times 0.115628198985075 \times (c u b i c m e t e r) = x \times 3.5516328125 \times 10^{- 6} \times (c u b i c m e t e r)

Or

1.0 \cdot 0.115628198985075 \cdot (m^{3}) = x \cdot 3.5516328125 \times 10^{- 6} \cdot (m^{3})

Cancel SI units

1.0 \times 0.115628198985075 \cdot (m^{3}) = x \times 3.5516328125 \times 10^{- 6} \times (m^{3})

Conversion Equation

0.115628198985075 = x \times 3.5516328125 \times 10^{- 6}

Switch sides

x \times 3.5516328125 \times 10^{- 6} = 0.115628198985075

Isolate

x

Multiply both sides by

(\frac{1.0}{3.5516328125 \times 10^{- 6}})

x \times 3.5516328125 \times 10^{- 6} \times \frac{1.0}{3.5516328125 \times 10^{- 6}} = 0.115628198985075 \times \frac{1.0}{3.5516328125 \times 10^{- 6}}

Cancel

x \times 3.5516328125 \times 10^{- 6} \times \frac{1.0}{3.5516328125 \times 10^{- 6}} = 0.115628198985075 \times \frac{1.0}{3.5516328125 \times 10^{- 6}}

Simplify

x = \frac{0.115628198985075}{3.5516328125 \times 10^{- 6}}

Rewrite equation

\frac{1.0}{10^{- 6}} can be rewritten to 10^{6}

Rewrite

x = \frac{10^{6} \times 0.115628198985075}{3.5516328125}

Solve

x

x \approx 32556.349457 \approx 3.2556 \times 10^{4}

Conversion Equation

1.0 (b a r r e l) \approx 3.2556 \times 10^{4} (d r a m)

View All Examples