Questions: Use the fact that 1 m^3 = 1000000000 mm^3 to make the conversion. 8 m^3 to mm^3 8 m^3 = □ mm^3

Use the fact that 1 m^3 = 1000000000 mm^3 to make the conversion.
8 m^3 to mm^3
8 m^3 = □ mm^3
Transcript text: Use the fact that $1 \mathrm{~m}^{3}=1000000000 \mathrm{~mm}^{3}$ to make the conversion. \[ \begin{array}{l} 8 \mathrm{~m}^{3} \text { to } \mathrm{mm}^{3} \\ 8 \mathrm{~m}^{3}=\square \mathrm{~mm}^{3} \end{array} \]
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Solution

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Solution Steps

To convert cubic meters to cubic millimeters, we use the conversion factor \(1 \mathrm{~m}^{3} = 1000000000 \mathrm{~mm}^{3}\). Multiply the given volume in cubic meters by this conversion factor to get the volume in cubic millimeters.

Step 1: Understand the Conversion Factor

To convert from cubic meters to cubic millimeters, we use the conversion factor \(1 \mathrm{~m}^{3} = 1000000000 \mathrm{~mm}^{3}\). This means that each cubic meter is equivalent to \(1000000000\) cubic millimeters.

Step 2: Apply the Conversion

Given the volume \(8 \mathrm{~m}^{3}\), we multiply this by the conversion factor to find the equivalent volume in cubic millimeters: \[ 8 \mathrm{~m}^{3} \times 1000000000 \mathrm{~mm}^{3}/\mathrm{~m}^{3} = 8000000000 \mathrm{~mm}^{3} \]

Final Answer

\(\boxed{8000000000 \, \mathrm{mm}^{3}}\)

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