Math Problem Statement
The scale on a map reads 1:25000 . What would be the length in centimeters on the map for a distance if 8 km
Solution
To solve this problem, you can use the map scale to convert the real-world distance into a distance on the map.
Steps to Solve:
-
Understand the scale: The scale 1:25000 means that 1 unit on the map corresponds to 25,000 of the same units in the real world.
-
Convert kilometers to centimeters:
- 1 kilometer (km) = 100,000 centimeters (cm).
- Therefore, 8 kilometers = centimeters.
-
Apply the scale to find the map distance:
- According to the scale, of the real-world distance will be the map distance.
- Map distance = centimeters.
Answer:
The length on the map for a distance of 8 kilometers would be 32 centimeters.
Would you like more details or have any questions? Here are some related questions for practice:
- What would be the map distance for a real-world distance of 5 kilometers?
- If the map distance is 15 centimeters, what is the actual distance in kilometers?
- How would the map distance change if the scale was 1:50,000 instead of 1:25,000?
- What is the scale if 10 kilometers in the real world is represented by 40 centimeters on the map?
- If two points are 20 centimeters apart on the map, what is the real-world distance in meters?
Tip: Always double-check your unit conversions, especially when working with scales, to avoid errors in your calculations.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Scale
Unit Conversion
Proportional Relationships
Formulas
Scale Formula
Theorems
-
Suitable Grade Level
Grades 6-8
Related Recommendation
Calculate Real Distance from a Map Scale of 1:25,000
Calculate Real Road Length from Map Scale and Distance
Map Scale Calculation: Convert Length and Area Using Scale 1:125000
Convert Map Length to Real Distance Using Scale 1:50,000
Converting Map Scale to Real Life Distances: A 8 cm Road on a 1:50,000 Scale Map