To find the length of the snack stand on the map, you need to use the scale factor given. The scale is:
1 cm = 3 feet.
Given that the actual length of the snack stand is 30 feet, you can set up the conversion like this:
\[ \text{Length on map (cm)} = \frac{\text{Actual length (feet)}}{\text{Scale factor (feet per cm)}} \]
In this case, the scale factor is 3 feet/cm.
Now, substituting the values into the formula:
\[ \text{Length on map (cm)} = \frac{30 \text{ feet}}{3 \text{ feet/cm}} = 10 \text{ cm} \]
So, the length of the snack stand on the map is 10 cm.