Convert cup to board foot

Learn how to convert 1 cup to board foot step by step.

Calculation Breakdown

Set up the equation

1.0 (c u p) = x (b o a r d f o o t)

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 (b o a r d f o o t) = 2.359737216 \times 10^{- 3} (c u b i c m e t e r) = 2.359737216 \times 10^{- 3} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (c u p) = x (b o a r d f o o t)

Insert known values =>

1.0 \times 2.273045 \times 10^{- 4} \times (c u b i c m e t e r) = x \times 2.359737216 \times 10^{- 3} \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 2.359737216 \times 10^{- 3} \cdot (m^{3})

Cancel SI units

1.0 \times 2.273045 \times 10^{- 4} \cdot (m^{3}) = x \times 2.359737216 \times 10^{- 3} \times (m^{3})

Conversion Equation

2.273045 \times 10^{- 4} = x \times 2.359737216 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

2.273045 \times {10^{- 4}}^{10^{- 1}} = x \times 2.359737216 \times 10^{- 3}

Simplify

2.273045 \times 10^{- 1} = x \times 2.359737216

Switch sides

x \times 2.359737216 = 2.273045 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{2.359737216})

x \times 2.359737216 \times \frac{1.0}{2.359737216} = 2.273045 \times 10^{- 1} \times \frac{1.0}{2.359737216}

Cancel

x \times 2.359737216 \times \frac{1.0}{2.359737216} = 2.273045 \times 10^{- 1} \times \frac{1.0}{2.359737216}

Simplify

x = \frac{2.273045 \times 10^{- 1}}{2.359737216}

Solve

x

x \approx 0.0963261919 \approx 9.6326 \times 10^{- 2}

Conversion Equation

1.0 (c u p) \approx 9.6326 \times 10^{- 2} (b o a r d f o o t)

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