Calculate the volume of a cube with a side length of 4.5 cm, possibly using a mathematical table.

The volume $V$ of a cube with side length $s$ is given by the formula:

$$V = s^3$$

The side length $s = 4.5 \text{ cm}$.

$$V = (4.5 \text{ cm})^3$$

$$V = 4.5 \times 4.5 \times 4.5 \text{ cm}^3$$ $$V = 20.25 \times 4.5 \text{ cm}^3$$ $$V = 91.125 \text{ cm}^3$$

The question asks to use a "mathematical table". Since I do not have access to a specific mathematical table (like a table of cubes or logarithms) that you might be using, I have calculated the value directly.

The volume of the bookshelf is $\text{91.125 cm}^3$.