Question

a student sets up the following equation to convert a measurement. (the ? stands for a number the student is going to calculate.) fill in the missing part of this equation. note: your answer should be in the form of one or more fractions multiplied together. \\(\left(51.\\ \text{pa}\cdot\text{cm}^3\
ight)\cdot\square = ?\\ \text{kpa}\cdot\text{m}^3\\)

Explanation:

Step1: Convert Pa to kPa

Since \(1\ kPa = 1000\ Pa\), the conversion factor for pressure is \(\frac{1\ kPa}{1000\ Pa}\).

Step2: Convert \(cm^{3}\) to \(m^{3}\)

We know that \(1\ m=100\ cm\), so \(1\ m^{3}=(100\ cm)^{3}=100^{3}\ cm^{3} = 10^{6}\ cm^{3}\). The conversion factor for volume is \(\frac{1\ m^{3}}{10^{6}\ cm^{3}}\).

Answer:

\(\frac{1\ kPa}{1000\ Pa}\times\frac{1\ m^{3}}{10^{6}\ cm^{3}}\)