Convert displacement ton to cup

Learn how to convert 1 displacement ton to cup step by step.

Calculation Breakdown

Set up the equation

1.0 (d i s p l a c e m e n t t o n) = x (c u 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 (d i s p l a c e m e n t t o n) = 9.9108963072 \times 10^{- 1} (c u b i c m e t e r) = 9.9108963072 \times 10^{- 1} (m^{3})

Right side: 1.0 (c u p) = 2.84130625 \times 10^{- 4} (c u b i c m e t e r) = 2.84130625 \times 10^{- 4} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (d i s p l a c e m e n t t o n) = x (c u p)

Insert known values =>

1.0 \times 9.9108963072 \times 10^{- 1} \times (c u b i c m e t e r) = x \times 2.84130625 \times 10^{- 4} \times (c u b i c m e t e r)

Or

1.0 \cdot 9.9108963072 \times 10^{- 1} \cdot (m^{3}) = x \cdot 2.84130625 \times 10^{- 4} \cdot (m^{3})

Cancel SI units

1.0 \times 9.9108963072 \times 10^{- 1} \cdot (m^{3}) = x \times 2.84130625 \times 10^{- 4} \times (m^{3})

Conversion Equation

9.9108963072 \times 10^{- 1} = x \times 2.84130625 \times 10^{- 4}

Cancel factors on both sides

Cancel factors

9.9108963072 \times 10^{- 1} = x \times 2.84130625 \times {10^{- 4}}^{10^{- 3}}

Simplify

9.9108963072 = x \times 2.84130625 \times 10^{- 3}

Switch sides

x \times 2.84130625 \times 10^{- 3} = 9.9108963072

Isolate

x

Multiply both sides by

(\frac{1.0}{2.84130625 \times 10^{- 3}})

x \times 2.84130625 \times 10^{- 3} \times \frac{1.0}{2.84130625 \times 10^{- 3}} = 9.9108963072 \times \frac{1.0}{2.84130625 \times 10^{- 3}}

Cancel

x \times 2.84130625 \times 10^{- 3} \times \frac{1.0}{2.84130625 \times 10^{- 3}} = 9.9108963072 \times \frac{1.0}{2.84130625 \times 10^{- 3}}

Simplify

x = \frac{9.9108963072}{2.84130625 \times 10^{- 3}}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = \frac{10^{3} \times 9.9108963072}{2.84130625}

Solve

x

x \approx 3488.1478571 \approx 3.4881 \times 10^{3}

Conversion Equation

1.0 (d i s p l a c e m e n t t o n) \approx 3.4881 \times 10^{3} (c u p)

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