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
Transcript text: Use the fact that $1 \mathrm{~m}^{3}=1000000000 \mathrm{~mm}^{3}$ to make the conversion.
\[
\begin{array}{l}
8 \mathrm{~m}^{3} \text { to } \mathrm{mm}^{3} \\
8 \mathrm{~m}^{3}=\square \mathrm{~mm}^{3}
\end{array}
\]
Solution
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:
\[
8 \mathrm{~m}^{3} \times 1000000000 \mathrm{~mm}^{3}/\mathrm{~m}^{3} = 8000000000 \mathrm{~mm}^{3}
\]