Math Problem Statement
Solution
To solve this problem:
The scale on the map is 1 : 50,000, meaning that 1 cm on the map corresponds to 50,000 cm in real life.
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The road is 8 cm long on the map.
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Using the scale factor, we calculate the actual length of the road in real life:
- To convert 400,000 cm to kilometers, we use the fact that 100,000 cm = 1 km:
So, the real length of the road is 4 kilometers (km).
Would you like further details or clarifications?
Here are 5 related questions for practice:
- If a road is 10 cm long on a map with a scale of 1:50,000, what is the real length in kilometers?
- How long is a 5 cm road on a map with a 1:100,000 scale in real life?
- Convert 600,000 cm to kilometers.
- What is the real-life distance if a 12 cm line on the map is scaled at 1:25,000?
- How would you convert a road of 7 cm on a map at a scale of 1:20,000 to meters?
Tip: Always check units when converting distances, especially between cm and km!
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Math Problem Analysis
Mathematical Concepts
Scale Conversion
Unit Conversion
Formulas
Real length = Map length (cm) x Scale factor
Conversion from cm to km
Theorems
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Suitable Grade Level
Grades 7-9
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