Questions: Use the table, along with dimensional analysis, to convert the given unit to the unit indicated. Volume in Cubic Units Capacity 1 cm^3 =1 mL 1 dm^3=1000 cm^3 =1 L 1 m^3 =1 kL

Use the table, along with dimensional analysis, to convert the given unit to the unit indicated.

Volume in Cubic Units  Capacity

1 cm^3  =1 mL

1 dm^3=1000 cm^3  =1 L

1 m^3  =1 kL
Transcript text: Use the table, along with dimensional analysis, to convert the given unit to the unit indicated. \begin{tabular}{|ll|} \hline Volume in Cubic Units & Capacity \\ \hline $1 \mathrm{~cm}^{3}$ & $=1 \mathrm{~mL}$ \\ \hline $1 \mathrm{dm}^{3}=1000 \mathrm{~cm}^{3}$ & $=1 \mathrm{~L}$ \\ \hline $1 \mathrm{~m}^{3}$ & $=1 \mathrm{~kL}$ \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Identify the Initial and Target Units

The initial unit is cm^3, and the target unit is L.

Step 2: Refer to the Conversion Table

The conversion factor from cm^3 to L is 0.001.

Step 3: Apply Dimensional Analysis

By multiplying the initial volume 500 cm^3 by the conversion factor 0.001, we get 0.5 L.

Step 4: Round the Result

After rounding to 2 decimal places, the final volume is 0.5 L.

Final Answer:

The converted volume is 0.5 L after rounding to 2 decimal places.

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