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. (61. pa·cm³)· = ? kpa·m³

Explanation:

Step1: Convert Pa to kPa

Since \(1\space kPa = 10^{3}\space Pa\), the conversion factor for pressure is \(\frac{1\space kPa}{10^{3}\space Pa}\).

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

We know that \(1\space m = 10^{2}\space cm\), so \(1\space m^{3}=(10^{2})^{3}\space cm^{3}=10^{6}\space cm^{3}\). The conversion factor for volume is \(\frac{1\space m^{3}}{10^{6}\space cm^{3}}\).

Answer:

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