Convert teaspoon to cubic inch

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

Calculation Breakdown

Set up the equation

1.0 (t e a s p o o n) = 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 (t e a s p o o n) = 4.73551041666667 \times 10^{- 6} (c u b i c m e t e r) = 4.73551041666667 \times 10^{- 6} (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 (t e a s p o o n) = x (c u b i c i n c h)

Insert known values =>

1.0 \times 4.73551041666667 \times 10^{- 6} \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 4.73551041666667 \times 10^{- 6} \cdot (m^{3}) = x \cdot 1.6387064 \times 10^{- 5} \cdot (m^{3})

Cancel SI units

1.0 \times 4.73551041666667 \times 10^{- 6} \cdot (m^{3}) = x \times 1.6387064 \times 10^{- 5} \times (m^{3})

Conversion Equation

4.73551041666667 \times 10^{- 6} = x \times 1.6387064 \times 10^{- 5}

Cancel factors on both sides

Cancel factors

4.73551041666667 \times {10^{- 6}}^{10^{- 1}} = x \times 1.6387064 \times 10^{- 5}

Simplify

4.73551041666667 \times 10^{- 1} = x \times 1.6387064

Switch sides

x \times 1.6387064 = 4.73551041666667 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.6387064})

x \times 1.6387064 \times \frac{1.0}{1.6387064} = 4.73551041666667 \times 10^{- 1} \times \frac{1.0}{1.6387064}

Cancel

x \times 1.6387064 \times \frac{1.0}{1.6387064} = 4.73551041666667 \times 10^{- 1} \times \frac{1.0}{1.6387064}

Simplify

x = \frac{4.73551041666667 \times 10^{- 1}}{1.6387064}

Solve

x

x \approx 0.2889785758 \approx 2.8898 \times 10^{- 1}

Conversion Equation

1.0 (t e a s p o o n) \approx 2.8898 \times 10^{- 1} (c u b i c i n c h)

View All Examples