Convert cup to drop

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

Calculation Breakdown

Set up the equation

1.0 (c u p) = 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 (c u p) = 2.273045 \times 10^{- 4} (c u b i c m e t e r) = 2.273045 \times 10^{- 4} (m^{3})

Right side: 1.0 (d r o p) = 8.21486932291667 \times 10^{- 8} (c u b i c m e t e r) = 8.21486932291667 \times 10^{- 8} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (c u p) = x (d r o p)

Insert known values =>

1.0 \times 2.273045 \times 10^{- 4} \times (c u b i c m e t e r) = x \times 8.21486932291667 \times 10^{- 8} \times (c u b i c m e t e r)

Or

1.0 \cdot 2.273045 \times 10^{- 4} \cdot (m^{3}) = x \cdot 8.21486932291667 \times 10^{- 8} \cdot (m^{3})

Cancel SI units

1.0 \times 2.273045 \times 10^{- 4} \cdot (m^{3}) = x \times 8.21486932291667 \times 10^{- 8} \times (m^{3})

Conversion Equation

2.273045 \times 10^{- 4} = x \times 8.21486932291667 \times 10^{- 8}

Cancel factors on both sides

Cancel factors

2.273045 \times 10^{- 4} = x \times 8.21486932291667 \times {10^{- 8}}^{10^{- 4}}

Simplify

2.273045 = x \times 8.21486932291667 \times 10^{- 4}

Switch sides

x \times 8.21486932291667 \times 10^{- 4} = 2.273045

Isolate

x

Multiply both sides by

(\frac{1.0}{8.21486932291667 \times 10^{- 4}})

x \times 8.21486932291667 \times 10^{- 4} \times \frac{1.0}{8.21486932291667 \times 10^{- 4}} = 2.273045 \times \frac{1.0}{8.21486932291667 \times 10^{- 4}}

Cancel

x \times 8.21486932291667 \times 10^{- 4} \times \frac{1.0}{8.21486932291667 \times 10^{- 4}} = 2.273045 \times \frac{1.0}{8.21486932291667 \times 10^{- 4}}

Simplify

x = \frac{2.273045}{8.21486932291667 \times 10^{- 4}}

Rewrite equation

\frac{1.0}{10^{- 4}} can be rewritten to 10^{4}

Rewrite

x = \frac{10^{4} \times 2.273045}{8.21486932291667}

Solve

x

x \approx 2766.9886284 \approx 2.767 \times 10^{3}

Conversion Equation

1.0 (c u p) \approx 2.767 \times 10^{3} (d r o p)

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