Math Problem Statement
what is the actual number of kilometers that is represented by 5 centimeters on the map
Solution
To find the actual distance represented by 5 centimeters on a map, you need to know the map's scale. The scale tells you the ratio of map distance to actual distance.
For example:
- If the scale is 1:100,000, this means that 1 centimeter on the map represents 100,000 centimeters in real life.
- So, 5 centimeters on the map would represent centimeters, which equals 5 kilometers (since 100,000 cm = 1 km).
Without the scale, it's impossible to determine the actual distance. Could you provide the map's scale?
Would you like a deeper explanation of how map scales work? Here are some questions to expand on the topic:
- What is the formula to convert map distances to actual distances?
- How does a scale of 1:50,000 compare to 1:100,000 in terms of actual distances?
- What other units can map scales use besides kilometers?
- Can a map have a variable scale depending on its region?
- How do you measure distances on a curved surface like Earth when using flat maps?
Tip: Always check the map's legend for the scale to ensure accurate conversions!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Map Scales
Ratio and Proportion
Unit Conversion
Formulas
Actual Distance = Map Distance × Scale Factor
1 kilometer = 100,000 centimeters
Theorems
-
Suitable Grade Level
Grades 5-7
Related Recommendation
Calculate Actual Distance Using Map Scale: 3.5 cm to 70 km
Map Scale Problem: Converting 15 km of Terrain to Centimeters
Solving Map Scale Proportions: 2.5 cm to 15 km Example
Calculate Actual Distance from Map Scale 1 : 60,000 - 9 cm and 8 mm
Understanding Scale 1cm = 50km: How to Convert Map Distances to Real-World Distances