Convert quart to bushel

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

Calculation Breakdown

Set up the equation

1.0 (q u a r t) = x (b u s h e l)

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) = 1.101220942715 \times 10^{- 3} (c u b i c m e t e r) = 1.101220942715 \times 10^{- 3} (m^{3})

Right side: 1.0 (b u s h e l) = 3.636872 \times 10^{- 2} (c u b i c m e t e r) = 3.636872 \times 10^{- 2} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (q u a r t) = x (b u s h e l)

Insert known values =>

1.0 \times 1.101220942715 \times 10^{- 3} \times (c u b i c m e t e r) = x \times 3.636872 \times 10^{- 2} \times (c u b i c m e t e r)

Or

1.0 \cdot 1.101220942715 \times 10^{- 3} \cdot (m^{3}) = x \cdot 3.636872 \times 10^{- 2} \cdot (m^{3})

Cancel SI units

1.0 \times 1.101220942715 \times 10^{- 3} \cdot (m^{3}) = x \times 3.636872 \times 10^{- 2} \times (m^{3})

Conversion Equation

1.101220942715 \times 10^{- 3} = x \times 3.636872 \times 10^{- 2}

Cancel factors on both sides

Cancel factors

1.101220942715 \times {10^{- 3}}^{10^{- 1}} = x \times 3.636872 \times 10^{- 2}

Simplify

1.101220942715 \times 10^{- 1} = x \times 3.636872

Switch sides

x \times 3.636872 = 1.101220942715 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{3.636872})

x \times 3.636872 \times \frac{1.0}{3.636872} = 1.101220942715 \times 10^{- 1} \times \frac{1.0}{3.636872}

Cancel

x \times 3.636872 \times \frac{1.0}{3.636872} = 1.101220942715 \times 10^{- 1} \times \frac{1.0}{3.636872}

Simplify

x = \frac{1.101220942715 \times 10^{- 1}}{3.636872}

Solve

x

x \approx 0.0302793429 \approx 3.0279 \times 10^{- 2}

Conversion Equation

1.0 (q u a r t) \approx 3.0279 \times 10^{- 2} (b u s h e l)

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