Convert quart to drop

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

Calculation Breakdown

Set up the equation

1.0 (q u a r t) = 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 (q u a r t) = 1.1365225 \times 10^{- 3} (c u b i c m e t e r) = 1.1365225 \times 10^{- 3} (m^{3})

Right side: 1.0 (d r o p) = 6.48542314967105 \times 10^{- 8} (c u b i c m e t e r) = 6.48542314967105 \times 10^{- 8} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (q u a r t) = x (d r o p)

Insert known values =>

1.0 \times 1.1365225 \times 10^{- 3} \times (c u b i c m e t e r) = x \times 6.48542314967105 \times 10^{- 8} \times (c u b i c m e t e r)

Or

1.0 \cdot 1.1365225 \times 10^{- 3} \cdot (m^{3}) = x \cdot 6.48542314967105 \times 10^{- 8} \cdot (m^{3})

Cancel SI units

1.0 \times 1.1365225 \times 10^{- 3} \cdot (m^{3}) = x \times 6.48542314967105 \times 10^{- 8} \times (m^{3})

Conversion Equation

1.1365225 \times 10^{- 3} = x \times 6.48542314967105 \times 10^{- 8}

Cancel factors on both sides

Cancel factors

1.1365225 \times 10^{- 3} = x \times 6.48542314967105 \times {10^{- 8}}^{10^{- 5}}

Simplify

1.1365225 = x \times 6.48542314967105 \times 10^{- 5}

Switch sides

x \times 6.48542314967105 \times 10^{- 5} = 1.1365225

Isolate

x

Multiply both sides by

(\frac{1.0}{6.48542314967105 \times 10^{- 5}})

x \times 6.48542314967105 \times 10^{- 5} \times \frac{1.0}{6.48542314967105 \times 10^{- 5}} = 1.1365225 \times \frac{1.0}{6.48542314967105 \times 10^{- 5}}

Cancel

x \times 6.48542314967105 \times 10^{- 5} \times \frac{1.0}{6.48542314967105 \times 10^{- 5}} = 1.1365225 \times \frac{1.0}{6.48542314967105 \times 10^{- 5}}

Simplify

x = \frac{1.1365225}{6.48542314967105 \times 10^{- 5}}

Rewrite equation

\frac{1.0}{10^{- 5}} can be rewritten to 10^{5}

Rewrite

x = \frac{10^{5} \times 1.1365225}{6.48542314967105}

Solve

x

x \approx 17524.261313 \approx 1.7524 \times 10^{4}

Conversion Equation

1.0 (q u a r t) \approx 1.7524 \times 10^{4} (d r o p)

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