Convert to(升) to drop

Learn how to convert 1 to(升) to drop step by step.

Calculation Breakdown

Set up the equation

1.0 (t o (升)) = 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 (t o (升)) = \frac{2.401}{1.331 \times 10^{2}} (c u b i c m e t e r) = \frac{2.401}{1.331 \times 10^{2}} (m^{3})

Right side: 1.0 (d r o p) = 7.78866844846491 \times 10^{- 8} (c u b i c m e t e r) = 7.78866844846491 \times 10^{- 8} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (t o (升)) = x (d r o p)

Insert known values =>

1.0 \times \frac{2.401}{1.331 \times 10^{2}} \times (c u b i c m e t e r) = x \times 7.78866844846491 \times 10^{- 8} \times (c u b i c m e t e r)

Or

1.0 \cdot \frac{2.401}{1.331 \times 10^{2}} \cdot (m^{3}) = x \cdot 7.78866844846491 \times 10^{- 8} \cdot (m^{3})

Cancel SI units

1.0 \times \frac{2.401}{1.331 \times 10^{2}} \cdot (m^{3}) = x \times 7.78866844846491 \times 10^{- 8} \times (m^{3})

Conversion Equation

\frac{2.401}{1.331 \times 10^{2}} = x \times 7.78866844846491 \times 10^{- 8}

Switch sides

x \times 7.78866844846491 \times 10^{- 8} = \frac{2.401}{1.331 \times 10^{2}}

Isolate

x

Multiply both sides by

(\frac{1.0}{7.78866844846491 \times 10^{- 8}})

x \times 7.78866844846491 \times 10^{- 8} \times \frac{1.0}{7.78866844846491 \times 10^{- 8}} = \frac{2.401}{1.331 \times 10^{2}} \times \frac{1.0}{7.78866844846491 \times 10^{- 8}}

Cancel

x \times 7.78866844846491 \times 10^{- 8} \times \frac{1.0}{7.78866844846491 \times 10^{- 8}} = \frac{2.401 \times 1.0}{1.331 \times 10^{2} \times 7.78866844846491 \times {10^{- 8}}^{10^{- 6}}}

Simplify

x = \frac{2.401}{1.331 \times 7.78866844846491 \times 10^{- 6}}

Rewrite equation

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

Rewrite

x = \frac{10^{6} \times 2.401}{1.331 \times 7.78866844846491}

Solve

x

x \approx 231606.57677 \approx 2.3161 \times 10^{5}

Conversion Equation

1.0 (t o (升)) \approx 2.3161 \times 10^{5} (d r o p)

View All Examples