Final answer:
The distance on the map representing an actual distance of 10 m is 15 cm.
Step-by-step explanation:
To determine the distance on the map that represents an actual distance of 10 m, we need to set up a proportion using the given scale.
The scale states that 3 cm represents 6 m. So, we can set up the proportion as: 3 cm / 6 m = x cm / 10 m
To solve for x, we can cross multiply: 6x = 3 * 10. Solving this equation, we get x = 15 cm.