To transform the magnitudes, we have to use the given ratios.
So, 1.00 fluid ounces is equivalent to 23.573mL. Now, let's find the volume of a kilogram of water using the density formula
[tex]\begin{gathered} \rho=\frac{m}{V} \\ 1g/cm^3=\frac{1000g}{V} \\ V=\frac{1000g}{1g/cm^3} \\ V=1000(cm)^3 \end{gathered}[/tex]
Once we have the volume of a kilogram of water, we transform it into mL using the given ratio.
[tex]V=1000(cm)^3\cdot\frac{1L}{1000(cm)^3}\cdot\frac{1000mL}{1L}=1000mL[/tex]
Once we have the volume in mL, we can find the fluid ounce of 1000mL. Let's use a rule of three
[tex]\begin{gathered} \frac{1oz}{29.573mL}=\frac{x}{1000mL} \\ x=\frac{1000mL}{29.573mL}oz \\ x=33.8oz \end{gathered}[/tex]
Therefore, the number of fluid ounces in a kilogram of water is 33.8 ounces.
