Questions: Make the following conversion.
3.2 m^2 to square centimeters
Transcript text: Make the following conversion.
$3.2 m^{2}$ to square centimeters
Solution
Solution Steps
To convert square meters to square centimeters, we need to know that 1 square meter is equal to 10,000 square centimeters. Therefore, we can multiply the given value in square meters by 10,000 to get the value in square centimeters.
Step 1: Identify the Conversion Factor
To convert from square meters to square centimeters, we use the conversion factor:
\[
1 \, m^{2} = 10,000 \, cm^{2}
\]
Step 2: Perform the Conversion
Given the area in square meters:
\[
3.2 \, m^{2}
\]
we multiply by the conversion factor:
\[
3.2 \, m^{2} \times 10,000 \, cm^{2}/m^{2} = 32,000 \, cm^{2}
\]
Final Answer
The area in square centimeters is
\[
\boxed{32,000 \, cm^{2}}
\]