Question
3 Convert \( 0,0156 \mathrm{~m}^{3} \) to cubic millimetres
Ask by Rodriquez Sandoval. in South Africa
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(0.0156\,\mathrm{m}^3\) is equal to 15,600,000 cubic millimetres.
Solution
1. We know that
\[
1\,\mathrm{m}^3 = 10^9\,\mathrm{mm}^3
\]
2. To convert \(0.0156\,\mathrm{m}^3\) to cubic millimetres, multiply by \(10^9\):
\[
0.0156\,\mathrm{m}^3 = 0.0156 \times 10^9\,\mathrm{mm}^3
\]
3. Calculating the multiplication:
\[
0.0156 \times 10^9 = 15\,600\,000\,\mathrm{mm}^3
\]
Thus,
\[
0.0156\,\mathrm{m}^3 = 15\,600\,000\,\mathrm{mm}^3
\]
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Simplify this solution The Deep Dive
To convert cubic meters to cubic millimeters, you can use the conversion factor where \(1 \text{ m}^3 = 1,000,000,000 \text{ mm}^3\). So, \(0.0156 \mathrm{~m}^{3}\) can be converted as follows: \[ 0.0156 \mathrm{~m}^{3} \times 1,000,000,000 \mathrm{~mm}^{3/\mathrm{m}^{3}} = 15,600,000 \mathrm{~mm}^{3} \] Thus, \(0.0156 \mathrm{~m}^{3}\) is equal to \(15,600,000 \mathrm{~mm}^{3}\). Before diving into conversions, it’s always handy to double-check your unit multipliers! A small slip can lead to a huge difference, especially when dealing with large numbers like units of volume! Keeping a conversion chart or reference handy can save time and ensure accuracy during your calculations.
