To find the scale factor of the model from the sculpture, we compare the corresponding dimensions in the table. The scale factor is the ratio of any one dimension of the model to the corresponding dimension of the sculpture. The key is to simplify this ratio to its simplest fractional form.

Let's calculate the scale factor for each dimension:

1. Length: $\text{Scale factor for length} = \frac{\text{Model Length}}{\text{Sculpture Length}} = \frac{9}{24}$ Simplifying $\frac{9}{24}$: $\frac{9}{24} = \frac{3}{8}$

2. Width: $\text{Scale factor for width} = \frac{\text{Model Width}}{\text{Sculpture Width}} = \frac{6}{16}$ Simplifying $\frac{6}{16}$: $\frac{6}{16} = \frac{3}{8}$

3. Height: $\text{Scale factor for height} = \frac{\text{Model Height}}{\text{Sculpture Height}} = \frac{12}{32}$ Simplifying $\frac{12}{32}$: $\frac{12}{32} = \frac{3}{8}$

Conclusion:

Since all dimensions give the same ratio, the scale factor of the model is: $\boxed{\frac{3}{8}}$

Would you like more details or have any questions?

Here are 5 related questions:

1. How would the scale factor change if the model's dimensions were doubled?
2. What happens to the scale factor if you switch the model and the sculpture's dimensions?
3. How can you calculate the scale factor for volumes if given?
4. Can the scale factor ever be greater than 1, and what would that indicate?
5. What are real-life applications of scale factors in design and architecture?

Tip: Always remember to simplify ratios for scale factors to ensure they are in their simplest form.