Convert sho(升) to dram

Learn how to convert 1 sho(升) to dram step by step.

Calculation Breakdown

Set up the equation

1.0 (s h o (升)) = 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 (s h o (升)) = \frac{2.401}{1.331 \times 10^{3}} (c u b i c m e t e r) = \frac{2.401}{1.331 \times 10^{3}} (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 (s h o (升)) = x (d r a m)

Insert known values =>

1.0 \times \frac{2.401}{1.331 \times 10^{3}} \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 \frac{2.401}{1.331 \times 10^{3}} \cdot (m^{3}) = x \cdot 3.5516328125 \times 10^{- 6} \cdot (m^{3})

Cancel SI units

1.0 \times \frac{2.401}{1.331 \times 10^{3}} \cdot (m^{3}) = x \times 3.5516328125 \times 10^{- 6} \times (m^{3})

Conversion Equation

\frac{2.401}{1.331 \times 10^{3}} = x \times 3.5516328125 \times 10^{- 6}

Switch sides

x \times 3.5516328125 \times 10^{- 6} = \frac{2.401}{1.331 \times 10^{3}}

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}} = \frac{2.401}{1.331 \times 10^{3}} \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}} = \frac{2.401 \times 1.0}{1.331 \times 10^{3} \times 3.5516328125 \times {10^{- 6}}^{10^{- 3}}}

Simplify

x = \frac{2.401}{1.331 \times 3.5516328125 \times 10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = \frac{10^{3} \times 2.401}{1.331 \times 3.5516328125}

Solve

x

x \approx 507.90915959 \approx 5.0791 \times 10^{2}

Conversion Equation

1.0 (s h o (升)) \approx 5.0791 \times 10^{2} (d r a m)

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