Mia paints interior walls at a rate of 12(m^(2))/((h)). At what rate does Mia paint in (cm^(2))/(min) ?

Conversion Factors: To convert Mia's painting rate from square meters per hour to square centimeters per minute, we need to know the conversion factors between meters and centimeters, and between hours and minutes. 1 meter = 100 centimeters 1 hour = 60 minutesConvert to Square Centimeters: First, convert square meters to square centimeters. Since 1 meter is 100 centimeters, 1 square meter is 100 cm * 100 cm = 10,000 square centimeters.Multiply by Conversion Factor: Now, multiply Mia's rate by the conversion factor to get the rate in square centimeters per hour. 12 (m^2/h) * 10,000 (cm^2/m^2) = 120,000 (cm^2/h)Convert to Square Centimeters per Hour: Next, convert the rate from per hour to per minute. Since 1 hour is 60 minutes, we divide the rate by 60. 120,000 (cm^2/h) / 60 (min/h) = 2,000 (cm^2/min)Convert to Square Centimeters per Minute: Mia's painting rate is therefore 2,000 square centimeters per minute.

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Mia paints interior walls at a rate of
12(m^(2))/((h)).
At what rate does Mia paint in
(cm^(2))/(min) ?

Mia paints interior walls at a rate of $12 \frac{\mathrm{m}^{2}}{\mathrm{~h}}$ . $\newline$ At what rate does Mia paint in $\frac{\mathrm{cm}^{2}}{\min }$ ?

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Q. Mia paints interior walls at a rate of

12 \frac{\mathrm{m}^{2}}{\mathrm{~h}}

\newline

At what rate does Mia paint in

\frac{\mathrm{cm}^{2}}{\min }

Conversion Factors: To convert Mia's painting rate from square meters per hour to square centimeters per minute, we need to know the conversion factors between meters and centimeters, and between hours and minutes. $\newline$ $1$ meter $= 100$ centimeters $\newline$ $1$ hour $= 60$ minutes
Convert to Square Centimeters: First, convert square meters to square centimeters. Since $1$ meter is $100$ centimeters, $1$ square meter is $100$ cm $*$ $100$ cm = $10,000$ square centimeters.
Multiply by Conversion Factor: Now, multiply Mia's rate by the conversion factor to get the rate in square centimeters per hour. $\newline$ $12 (m^2/h) \times 10,000 (cm^2/m^2) = 120,000 (cm^2/h)$
Convert to Square Centimeters per Hour: Next, convert the rate from per hour to per minute. Since $1$ hour is $60$ minutes, we divide the rate by $60$ . $\newline$ $120,000 (\text{cm}^2/\text{h}) / 60 (\text{min}/\text{h}) = 2,000 (\text{cm}^2/\text{min})$
Convert to Square Centimeters per Minute: Mia's painting rate is therefore $2,000$ square centimeters per minute.