Question

unit conversion tutorial: treat cm³ as if it is (cm x cm x cm). this means that we need to repeat the conversion to get all of them to cancel. notice that after you cancel units, you are left with (m x m x m) which is m³. 1 m = 100 cm. how many m³ are in 56 cm³? 56 cm³ = m³

Explanation:

Step1: Recall conversion factor

Since $1\ m = 100\ cm$, then $1\ m^{2}=(100\ cm)\times(100\ cm) = 10000\ cm^{2}$.

Step2: Set up conversion

We want to convert $56\ cm^{2}$ to $m^{2}$. Let $x$ be the area in $m^{2}$. We use the proportion $\frac{x\ m^{2}}{56\ cm^{2}}=\frac{1\ m^{2}}{10000\ cm^{2}}$. Then $x=\frac{56}{10000}$.

Step3: Calculate result

$x = 0.0056$.

Answer:

$0.0056$