Convert quart to cubic inch

Learn how to convert 1 quart to cubic inch step by step.

Calculation Breakdown

Set up the equation

1.0 (q u a r t) = x (c u b i c i n c h)

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 (c u b i c i n c h) = 1.6387064 \times 10^{- 5} (c u b i c m e t e r) = 1.6387064 \times 10^{- 5} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (q u a r t) = x (c u b i c i n c h)

Insert known values =>

1.0 \times 1.1365225 \times 10^{- 3} \times (c u b i c m e t e r) = x \times 1.6387064 \times 10^{- 5} \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 1.6387064 \times 10^{- 5} \cdot (m^{3})

Cancel SI units

1.0 \times 1.1365225 \times 10^{- 3} \cdot (m^{3}) = x \times 1.6387064 \times 10^{- 5} \times (m^{3})

Conversion Equation

1.1365225 \times 10^{- 3} = x \times 1.6387064 \times 10^{- 5}

Cancel factors on both sides

Cancel factors

1.1365225 \times 10^{- 3} = x \times 1.6387064 \times {10^{- 5}}^{10^{- 2}}

Simplify

1.1365225 = x \times 1.6387064 \times 10^{- 2}

Switch sides

x \times 1.6387064 \times 10^{- 2} = 1.1365225

Isolate

x

Multiply both sides by

(\frac{1.0}{1.6387064 \times 10^{- 2}})

x \times 1.6387064 \times 10^{- 2} \times \frac{1.0}{1.6387064 \times 10^{- 2}} = 1.1365225 \times \frac{1.0}{1.6387064 \times 10^{- 2}}

Cancel

x \times 1.6387064 \times 10^{- 2} \times \frac{1.0}{1.6387064 \times 10^{- 2}} = 1.1365225 \times \frac{1.0}{1.6387064 \times 10^{- 2}}

Simplify

x = \frac{1.1365225}{1.6387064 \times 10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = \frac{10^{2} \times 1.1365225}{1.6387064}

Solve

x

x \approx 69.354858198 \approx 69.3549

Conversion Equation

1.0 (q u a r t) \approx 69.3549 (c u b i c i n c h)

View All Examples