Questions: Make the following conversion. 3.2 m^2 to square centimeters

Make the following conversion.
3.2 m^2 to square centimeters
Transcript text: Make the following conversion. $3.2 m^{2}$ to square centimeters
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Solution

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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 \[ \boxed{32,000 \, cm^{2}} \]

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