1. **State the problem:** We have two similar pyramids with base edges 16.5 m and 22 m. 2. **Find the scale factor (a:b) of their corresponding linear dimensions:** $$\text{scale factor} = \frac{16.5}{22} = \frac{165}{220} = \frac{3}{4}$$ 3. **Recall the volume ratio rule for similar solids:** If the scale factor of linear dimensions is $\frac{a}{b}$, then the volume ratio is $\left(\frac{a}{b}\right)^3$. 4. **Calculate the volume ratio:** $$\left(\frac{3}{4}\right)^3 = \frac{3^3}{4^3} = \frac{27}{64}$$ 5. **Interpretation:** The ratio of the volume of the smaller pyramid to the volume of the larger pyramid is $\frac{27}{64}$. This means the smaller pyramid's volume is $\frac{27}{64}$ times the volume of the larger pyramid.